Statistics

Problem Statement for "ComplexIntegers"

Problem Statement

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A complex number can be represented by a+bi where a and b are real numbers and i is the square root of negative one (ie. i*i = -1), a so-called "imaginary" number. "a" is called the "real part" of the complex number, and "bi" is called the "imaginary part." Complex numbers where the real part and the imaginary part (ignoring the i) are both integers are called complex integers, or Gaussian integers. Two complex integers a+bi and c+di can be multiplied yielding a complex integer (ac-bd)+(ad+bc)i. Once we have complex integers and complex integer multiplication defined, one wonders if there are complex primes similar to the primes of the positive integers. Yes there are, but they are a little different.

Let us pause to define a few terms here.

  • A "prime number" is a positive integer greater than one that has no positive integer factors other than one and itself.
  • A "composite number" is a positive integer that has at least one positive integer factor other than one and itself.
  • The "norm" of the complex number z, where z=a+bi, is written |z|2 and is defined as a2+b2 (this is actually the L2 norm).
  • F and G are "complex integer factors" of z if F and G are complex integers and F * G = z (F may equal G).

Complex Integers can be divided into four categories.

  • Complex Zeros, 0, satisfy the equation z * 0 = 0 for all complex numbers z. There is one complex zero, (0+0i)
  • Complex Units, I, satisfy the equation |z * I|2 = |z|2 for all complex numbers z. There are four complex integers which are complex units (0+1i), (0-1i), (1+0i) and (-1+0i)
  • Complex Primes, P, have |P|2 > 1 and have no complex integer factor, F, such that |P|2 > |F|2 > 1
  • Complex Composites, C, have at least one complex integer factor, F, such that |C|2 > |F|2 > 1

After a bit of not particularly obvious algebraic manipulation we find the following somewhat easy-to-test rules:

  • For complex integers, z = a+bi
  • if |z|2 = 0, then z is a complex zero.
  • if |z|2 = 1, then z is a complex unit.
  • if |z|2 > 1 , and p is any prime number that also satisfies p % 4 = 3
    • if a (or b) is zero and b (or a) is equal to some p or -p, then z is a complex prime.
    • if a (or b) is zero and b (or a) is not equal to any p or -p, then z is a complex composite.
    • if a and b are both non-zero and |z|2 is a prime number then z is a complex prime.
    • if a and b are both non-zero and |z|2 is a composite number then z is a complex composite .

Given two int[]s, realPart and imaginaryPart, return a String[] where the k'th element of the answer is "zero", "unit", "prime", or "composite" corresponding to the complex integer (realPart[k]+imaginaryPart[k]i)

For example:

{ 0,     1,       0,     1,       -1,      2,           0,       0,          -3}
{ 0,     0,      -1,     1,        1,      0,          -3,       5,          -2}
returns
{"zero", "unit", "unit", "prime", "prime", "composite", "prime", "composite", "prime"}
Some factorizations of the composites are:
  • (2+0i) = (1+1i)*(1-1i)
  • (0+5i) = (1+2i)*(2+1i)

Definition

Class:
ComplexIntegers
Method:
classify
Parameters:
int[], int[]
Returns:
String[]
Method signature:
String[] classify(int[] realPart, int[] imaginaryPart)
(be sure your method is public)

Constraints

  • realPart will contain between 1 and 50 elements inclusive.
  • imaginaryPart will contain the same number of elements as realPart
  • each element of realPart will be between -10000 and 10000 inclusive.
  • each element of imaginaryPart will be between -10000 and 10000 inclusive.

Examples

  1. { 0, 1, 0, 1, -1, 2, 0, 0, -3}

    { 0, 0, -1, 1, 1, 0, -3, 5, -2}

    Returns: { "zero", "unit", "unit", "prime", "prime", "composite", "prime", "composite", "prime" }

    The example from above.

  2. {2,3,4,5,2,3,4,5,2,3,4,5,2,3,4,5}

    {2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5}

    Returns: { "composite", "prime", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "composite", "prime", "composite" }

  3. {2,3,5,7,11,13,17,19}

    {0,0,0,0,0,0,0,0}

    Returns: { "composite", "prime", "composite", "prime", "prime", "composite", "composite", "prime" }

  4. {0,0,0,0,0,0,0,0,0,-19,23,29,31,37,-41}

    {15,2,-3,5,-7,11,-13,17,0,0,0,0,0,0,0}

    Returns: { "composite", "composite", "prime", "composite", "prime", "prime", "composite", "composite", "zero", "prime", "prime", "composite", "prime", "composite", "composite" }

  5. {99,-39,0,0,97,1003,9998,1119}

    {0,0,35,-129,-2,-232,9997,1120}

    Returns: { "composite", "composite", "composite", "composite", "prime", "prime", "prime", "prime" }

  6. {9997,9997,9997,9997,9997,9997,9997,9997,9997,9997, 9997,9997,9997,9997,9997,9997,9997,9997,9997,9997, 9997,9997,9997,9997,9997,9997,9997,9997,9997,9997, 9997,9997,9997,9997,9997,9997,9997,9997,9997,9997, 9997,9997,9997,9997,9997,9997,9997,9997,9997,9997}

    {9998,9998,9998,9998,9998,9998,9998,9998,9998,9998, 9998,9998,9998,9998,9998,9998,9998,9998,9998,9998, 9998,9998,9998,9998,9998,9998,9998,9998,9998,9998, 9998,9998,9998,9998,9998,9998,9998,9998,9998,9998, 9998,9998,9998,9998,9998,9998,9998,9998,9998,9998}

    Returns: { "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime" }

    This is the time out case if you were really dumb.

  7. {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0}

    {23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,87,89,91,97,101, 9997,9993,9991,9989,9983,9987,9979,9977,9973,9971,9967,9961,9959}

    Returns: { "prime", "composite", "prime", "composite", "composite", "prime", "prime", "composite", "prime", "composite", "prime", "prime", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite" }

  8. {9900,9901,9902,9903,9904,9905,9906,9907,9908,9909, 9910,9911,9912,9913,9914,9915,9916,9917,9918,9919, 9920,9921,9922,9923,9924,9925,9926,9927,9928,9929, 9930,9931,9932,9933,9934,9935,9936,9937,9938,9939, 9940,9941,9942,9943,9944,9945,9946,9947,9948,9949}

    {9951,9952,9953,9954,9955,9956,9957,9958,9959,9960, 9961,9962,9963,9964,9965,9966,9967,9968,9969,9970, 9971,9972,9973,9974,9975,9976,9977,9978,9979,9980, 9981,9982,9983,9984,9985,9986,9987,9988,9989,9990, 9991,9992,9993,9994,9995,9996,9997,9998,9999,10000}

    Returns: { "composite", "composite", "composite", "composite", "composite", "prime", "composite", "prime", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite" }

  9. {0, 0,0,1,-1, 1,1,-1,-1, 2,-2,0,0, 1,1,2,2,-1,-1,-2,-2, 3,-3,0,0, 1,1,3,3,-1,-1,-3,-3, 2,2,-2,-2, 0,0,4,-4, 1,1,4,4,-1,-1,-4,-4 }

    {0, 1,-1,0,0, 1,-1,1,-1, 0,0,2,-2, 2,-2,1,-1,2,-2,1,-1, 0,0,-3,3, 3,-3,1,-1,3,-3,1,-1, 2,-2,2,-2, 4,-4,0,0, 4,-4,1,-1,4,-4,1,-1 }

    Returns: { "zero", "unit", "unit", "unit", "unit", "prime", "prime", "prime", "prime", "composite", "composite", "composite", "composite", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime" }

  10. {-4039,9376,-1290,6006,-8786,7508,-1070,-4733,-6811,1475,4901,503,-6733,-2782,-2643,-1461,2188,8613,-5039,-9289,-7410,-4236,-2812,2927,3921,3052,-430,-2903,1830,2597,-8001,8509,-6491,-8982,-9365,-8339,6896,-7292,1946,700,-3309,-5795,-2660,-6728,-1651,5986,9169,3111,4847,1056}

    {-647,-590,3270,2732,4137,-8059,7523,1240,2443,-2588,-974,3980,7276,2656,2869,-3563,-4910,-8686,-4869,5686,9544,-5107,-6507,1569,-6773,-230,2466,6370,9844,-1619,8300,-1222,-43,4669,4168,-9440,-1007,-8745,1766,7603,1459,4175,7006,-1834,-3116,5999,1156,-9039,-9859,4435}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "composite", "composite", "composite", "composite" }

  11. {8109,-7084,6383,1996,6034,-9208,2212,-2183,-2680,-5945,-1239,-812,4526,9214,-3554,394,6623,3415,-5554,-7228,7961,-6914,-7556,-4157,3612,2728,5558,-4853,9855,-537,1249,-5698,9834,-3941,-4971,-6663,-5631,1518,-9749,-1908,3435,-692,-7409,-326,3862,8859,-9989,-1664,-1127,3917}

    {-9969,-7880,2851,-6178,8220,1955,-9368,-7546,-3492,-5758,-6172,7567,-4253,6918,-9867,5552,6673,-8822,-3092,-6151,4851,7484,9434,1046,-1465,2898,1805,-9397,5452,7098,-3200,3213,3762,-7848,5186,-6508,-914,9148,-4775,-4412,-2740,-8692,-5995,-3094,3023,7276,3620,9842,8230,-2250}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite" }

  12. {-7468,-4486,-177,544,-7509,5130,-4235,-8597,1642,2128,645,-9175,-3261,4623,5103,-6214,3363,4845,2267,-850,755,-3738,2806,-4683,2611,-3088,-7200,6997,-5568,2398,-7888,-1706,-7150,7987,6978,-6682,-9338,8381,-9416,5806,-8472,7662,7081,-1173,-1421,-5583,-262,9058,-2229,-8009}

    {6079,1162,616,-2407,351,-941,8694,-4562,-2403,7180,-2407,-351,629,3181,9877,7067,6730,-6709,8499,-5769,-5018,-1167,7772,-2104,-2765,1272,4855,-9325,101,8529,-7325,9425,-8103,-7022,-7718,-560,-3507,-2015,1958,-4629,-3315,5399,-9774,-5068,-4844,928,-1953,-700,8500,4795}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "prime", "composite", "composite", "prime", "composite" }

  13. {-1239,-8856,8804,-4304,4945,4931,1016,-6599,1207,2669,-1359,-2610,-2679,3268,-9487,-4331,-2498,9220,5913,1744,7824,-5558,-6317,-8657,-8166,5761,-5508,4796,6892,9018,7452,3057,-353,952,-8830,-1232,-5966,-6227,-2253,-8564,-5170,-5485,-1474,-6279,-8592,2652,-1030,8987,5372,-592}

    {4581,870,-4611,9702,-974,7509,-4478,4716,2406,6642,2703,-5951,6396,-6961,9778,-4689,-7695,4867,322,7095,1350,-924,-698,9413,5011,-8598,2102,-8644,7825,8052,-8605,9803,8652,-1770,4294,9617,-4220,6363,7127,4758,-7421,9079,9325,-7186,8779,-8763,9501,-5345,4680,2865}

    Returns: { "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime" }

  14. {-4693,-9909,-2823,2489,-4183,96,-9332,-9314,-6122,2458,5487,2536,-7472,9074,-3219,5599,3667,-3392,711,9743,-9213,2211,4457,5428,4831,-3694,8850,-7947,-2627,-1916,-1916,-9200,-5659,-7704,-6507,8197,-222,8143,7356,5879,4260,-985,9713,-1902,6015,-9598,290,-3582,4888,3865}

    {6714,-7216,-5327,2924,2450,7206,1858,8063,1722,8986,-8403,-4989,-4167,8511,5370,-2961,2679,2872,-4702,8153,-5693,4478,1397,9748,7115,-3291,-4893,8601,7348,1447,6658,-1628,2987,8872,-4482,6827,-2412,-3426,-4953,-9558,-3937,2182,5332,9503,-8504,-3153,4398,-7959,-6060,8260}

    Returns: { "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  15. {5370,2378,7974,9224,1471,-4082,-6735,-8959,-5388,-6326,4798,36,8340,6038,-3334,-8023,5835,8020,280,3380,-1298,4796,5755,2286,-669,-5401,-6214,-7510,-264,-8720,9146,7765,-7025,-7187,9157,7848,3984,-4488,-382,7910,7661,-2015,8306,366,9802,1482,-7221,-241,-7072,-2558}

    {-3790,-9905,5138,7275,5161,924,-2943,4688,6317,7892,-5142,-7536,581,7224,-3286,-5318,-2356,-7917,-8545,6340,8287,-4010,3723,4934,7112,9790,-3732,-941,7525,-4033,-920,3623,271,958,-9452,2201,-4307,-4385,-9929,-7358,5148,4339,7941,-2694,-2772,5415,3891,-2788,-7043,-4610}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  16. {1658,-6829,-4721,-4500,4497,7485,-1296,2264,4681,-8247,-1808,4390,-9095,-3878,8224,6409,8707,-6848,7972,7979,1256,-3018,-1704,-5887,3912,6076,-6795,-1887,-1175,8440,1758,-6916,9849,6294,-1683,-6952,-2422,-7069,-2435,-2145,-6501,-1925,8982,-4503,8185,-1733,-5227,2005,-693,-7266}

    {4452,-694,-9885,8183,-5036,-783,-3985,-8752,-5881,640,5907,-9871,-3555,-9265,-9250,-9647,-2000,3152,5919,9522,1140,-9411,-9681,1176,6096,-9672,6021,9868,-7672,-2650,80,2274,7048,9057,4559,8662,-9104,-7414,-4921,-2794,-5256,9044,6499,-8359,-984,-846,-6500,-5324,-7051,8382}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite" }

  17. {8992,7142,-9385,-9178,2128,7095,6740,-6099,8855,4867,-7743,-6851,5110,3990,-385,-1966,-270,-345,-1674,3102,-9255,-2549,4359,-4661,3006,392,-7192,8636,-1457,-3587,-7171,-3838,6573,-911,6236,4918,-496,1520,-2664,-4791,-4017,-9767,2737,-7666,9230,6994,-9056,1673,-4016,1498}

    {-1878,3349,2381,-730,6866,-7937,5948,-7299,5116,-9288,-9482,1576,-4415,3192,-8581,-1511,-5335,-6557,-2112,-8999,5754,-6144,-9253,-5243,7664,-7842,8332,6685,-5358,-4065,8105,387,-9766,7795,-1196,-6844,1011,6170,8610,7375,-9089,201,2889,6091,1864,8594,5762,-6409,2694,-763}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  18. {-1776,-8918,-5477,-3917,9277,-5602,1076,6860,-3176,-5567,-8632,-5631,-295,9903,-7323,8446,-966,-619,-3769,5526,-6079,-2495,843,6300,-3142,3502,-4207,8472,688,-8512,-5123,-6693,-3392,-11,7054,-7637,-342,-3375,4259,2147,7184,-6115,1038,4883,-3450,9789,-3214,8722,9166,73}

    {7451,-7995,2724,1797,-3417,3881,-9047,3003,5030,-8630,-5108,3265,5582,-5035,4787,1434,2083,3801,3761,-343,-6098,1828,-6045,4286,-9472,9209,-4657,-5443,6627,8721,-8436,-3372,9951,7083,-3490,-9756,-4727,3611,-6308,-7724,-1640,5217,-4611,-5212,5468,-4721,5657,129,-438,-9026}

    Returns: { "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  19. {6025,-1134,-5719,-3926,-7194,3362,-1412,-223,4213,9240,7104,3777,6380,-9252,-6952,-387,4017,-5132,-8369,-7302,-9376,4507,-4825,3202,3091,6774,2511,4082,2505,1849,425,8454,9603,1319,-1512,7352,819,-5334,-6709,6354,-9886,-5547,-2926,7989,1268,3148,1471,-4023,-9095,5141}

    {-40,-862,7033,15,-4807,1066,-1695,5029,-2628,9708,-9791,-2648,-6821,8264,2633,-2139,-3574,9276,9214,-5877,-2260,450,-3977,-3361,6201,-7619,-162,9056,7727,-9499,-104,2995,5144,8739,8390,-700,6298,-8325,7447,1172,3140,7602,270,1784,8250,1333,9150,-5948,-2402,8457}

    Returns: { "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "prime", "composite", "composite", "composite", "composite" }

  20. {7068,1731,-9988,-1201,4364,-7269,7832,9437,7587,-9634,-611,-8456,135,5723,159,3778,5442,6374,-7465,6611,8868,70,9745,-7320,6233,-5503,-9890,1463,-491,1235,-8065,-1740,3330,-3195,-2243,-3824,-4395,3463,263,1406,-559,5347,-7192,-9014,6810,-4075,9199,-2638,-6507,-5661}

    {-6368,-5243,-3742,1895,-9343,-7666,9135,7952,-5427,-4093,-5676,32,-40,-5391,-6101,-7138,917,6817,1494,-9416,3358,5706,-8141,3179,2442,1788,-40,2733,4090,6627,-5612,3268,8091,-4800,-7996,1172,1545,422,-4223,-7607,-2437,-8729,-6375,6116,21,-4537,4849,3948,8056,5946}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "prime", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  21. {1232,-4664,7918,6558,-5976,-4659,-567,6439,1208,7982,1933,6255,9073,-9736,-7791,-6367,-8918,8987,-1995,-3565,-9871,653,-139,3841,191,8045,-3222,4283,1552,5203,-6030,7918,7034,-6087,-4380,4238,-7741,-8633,-2375,-4389,7711,3595,-1859,-2741,-916,6853,-797,7954,-3919,-8846}

    {-1408,-4208,7505,5585,3832,730,5407,-9874,1941,7126,-9117,-2380,-3054,-4167,1811,-6466,7133,1303,396,457,-8071,-1159,6338,-5564,9352,-9419,3911,8683,5993,4537,-3307,3136,-6167,-3899,9652,5433,-8676,-2914,-5489,9349,6582,249,7031,-7392,-7223,4363,9588,9508,-1548,-6682}

    Returns: { "composite", "composite", "prime", "prime", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  22. {-7688,-9133,3708,6171,-6333,-956,-8652,-2633,-7452,-1332,-3217,5739,-5182,-7374,3135,8232,1440,4489,-549,-8947,6461,6178,2537,5637,4885,3063,9544,2673,5469,-5344,-7750,1230,7222,-9459,-5455,-3584,-9482,-2904,5425,1198,1291,-9039,-7648,-2241,7384,-1121,-7397,-9070,1186,3788}

    {-6246,5870,-7373,-7681,3016,-8223,192,-4508,-459,-8802,-6116,-554,-1869,2518,-3825,2014,-8397,169,-8788,7968,1078,-9671,5793,6274,3634,-8792,1198,6907,5257,-4626,-2303,-8727,643,9566,-5286,-255,-9928,1759,2368,3481,4893,4191,-4062,5982,9404,871,1446,-9090,-8696,-394}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  23. {3029,19,-7295,-1294,-7760,7014,-2979,-8986,6343,-9278,-7073,-5289,7610,-1658,-7696,-1085,3396,1590,-367,-5673,-8089,5884,-4931,-3573,8042,8120,9359,-9050,-978,8222,811,4574,-9143,2363,-5528,5733,8898,5911,-4180,-7864,2959,-7897,-7041,9882,-4902,-2885,-2670,-313,-2905,-14}

    {7729,1634,4159,-6522,5135,-8193,7596,-8581,9553,9172,631,7545,-7394,-4947,6826,-4103,3,3997,9712,-6243,2307,286,-4729,5275,6588,-9474,994,2932,5928,-8803,-1559,-7068,673,4531,-8288,-857,-7283,-2318,-9304,-578,-5582,6177,-331,-3281,-6072,-7872,-9402,5563,3425,7166}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite" }

  24. {2064,-7476,-5654,-1736,-6266,-1434,2375,-9034,-301,-2,-4851,-8279,1499,-754,8435,9284,7166,7666,-437,5616,6459,2888,3545,-5051,5684,-5934,-9288,-8238,-1540,1443,2678,4920,-1327,6639,-7973,-9676,738,-1047,8906,-2452,5995,-7674,1706,4582,-9797,6615,1556,7573,-1860,200}

    {7770,-3919,2228,6954,-4884,-1752,7505,9215,4895,-8061,-9952,8194,-4486,-7382,5146,4487,-9507,-3037,3795,9688,9695,7177,-2879,-5505,9268,2563,4641,9897,5188,6891,8059,2536,8668,8054,-2760,-8087,-4282,7369,-6716,1507,8136,7972,-1295,-1266,-7250,-406,-4657,-630,-909,8124}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  25. {-6266,3525,8422,-9001,7775,-233,8434,-5245,3165,-866,9426,4970,8357,4107,-9454,8193,4402,-3715,-9553,-7449,-624,-5253,-6431,-608,4173,-4588,-611,2639,-1147,8936,6822,-5355,-6494,-8330,3461,-8582,-9084,-6049,-7063,1355,7600,-9044,5625,1154,9491,-6669,-2567,6244,6971,7716}

    {-799,3626,3540,5247,-5524,7164,9014,2214,218,4183,7562,-7416,-6026,-1461,-5099,-7554,3947,1078,-4836,1288,-9032,7831,-3570,-8253,1938,-5965,-4087,-6105,-136,-6453,-6600,-868,9249,-936,-4426,-7746,8491,-3616,-8488,6586,-526,3444,-5910,9392,8840,7700,-4754,-5688,-9199,-4264}

    Returns: { "composite", "prime", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite" }

  26. {-9297,-7792,5826,9070,3779,-7193,-5403,-6,-8245,368,3996,8022,8909,-6515,339,8746,-5863,-7153,4256,5253,-6907,-5221,7110,5020,9960,-2400,3752,5357,7697,-9906,1494,3881,-4049,6989,-2068,-7613,4745,-1235,5374,1942,-8165,6029,6371,-2907,-7926,2558,-5257,1331,5032,-5617}

    {483,2911,6433,1066,-439,-5184,1994,9882,-411,5663,2484,-6711,-7087,-341,-3422,8805,8648,-2759,-807,9139,6322,-6704,-9359,-5758,4935,192,-7646,6181,-5290,-7283,2294,9398,-4279,7978,-4233,-9995,6888,2667,-5300,-2370,-1978,-7473,4207,-1197,9220,8168,3082,-2938,-4541,7031}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  27. {-1808,8164,-8308,7633,-9124,4163,-49,-4173,-811,-4536,4891,-6724,-1364,2437,9093,-6586,-1624,120,-5933,6299,-8256,-1157,-4855,-1736,-8810,6152,-7979,5919,-2760,7781,-8243,-1199,-360,-5641,-8789,-3167,-5015,-3012,-7121,3708,-141,9658,-4382,9517,8870,-5803,-9797,-9225,4603,7434}

    {-2634,-5695,8425,-7503,-9640,4754,-990,-1917,3826,5749,4838,-9495,4884,-9896,-4049,7719,2126,-2423,-4245,1900,-6495,-8623,5141,-8692,4739,-3384,-4684,-5827,6010,-8047,-9353,5568,7838,-7541,7975,6557,-7223,7220,469,-5712,2186,-2265,-4715,-8621,4449,1698,2092,5807,9207,1281}

    Returns: { "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite" }

  28. {-4626,7056,3487,7335,-3249,-1121,-6336,-6821,-7392,2441,-3817,7585,-855,-4992,-4180,5825,8678,-2957,4985,-7567,9877,3125,7149,-1662,-1794,1147,-6740,-3152,2810,5628,2090,3476,6383,1928,-3050,9938,7170,2540,1888,-8982,4928,-2343,1971,842,-6725,-3328,5852,9721,3435,5155}

    {1651,-9933,1313,583,3768,-1577,8960,8588,1317,-4261,-3245,4374,-3282,-5467,-6860,1364,397,-8536,391,-8086,2730,-6135,311,-9179,4825,-5920,6401,1703,5850,4032,-2601,-9281,4525,-166,-4773,3055,3554,5999,7690,5920,278,6152,3703,4902,4271,1753,-9005,8789,1949,6049}

    Returns: { "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  29. {4843,-206,369,6831,4701,1497,2417,9249,-2605,-9587,9341,5006,4483,7808,4980,-7314,-1396,-9396,-7205,6824,559,7145,8129,-5454,-2102,-1682,-3353,6776,-5925,-7797,-4963,465,-8638,3980,6866,6803,-4677,-7149,8591,-8404,-4581,-8326,-7943,-2101,1054,-9556,9151,2803,-7347,9690}

    {2693,-9698,4502,9432,-9144,7787,-1265,-990,-9893,-9262,9885,2282,-7156,-3829,-5476,672,-2314,1998,7166,-4455,-7689,-8573,-2841,1877,-8288,5705,-2774,-7256,-6451,1030,-881,7573,1195,5980,-5493,-3830,8713,-2054,-2293,-3407,-2845,9711,891,2587,-4553,3095,406,-5120,-5541,-6824}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite" }

  30. {5050,7729,2003,-1317,-3366,-8818,-8659,3938,-7934,655,945,-3684,-9686,-8744,-4996,-6312,-7576,1563,-828,5727,613,4671,-1845,-3630,-1026,-7110,-2472,3876,-5084,-1388,-3552,-2130,7558,194,-7092,2652,5384,-5451,-4924,9268,9677,-4091,-8062,7670,7077,9160,6160,3401,-1298,-5924}

    {-3645,-8030,7393,-9482,7908,-4943,1945,-6980,-6244,-6688,-1886,1542,3496,-9519,5048,4571,-2031,-7695,-8975,639,3381,7153,5068,2470,-700,-4156,8635,6057,5741,-8854,-2352,7779,-2549,3064,6003,-4901,2605,767,-1914,-8843,-352,5517,-5455,2476,-9301,5025,4209,3979,7154,5036}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  31. {1122,-2099,9478,-7942,-8211,9200,-1028,-6192,-3201,-5033,-8160,5716,8803,3907,2278,-1974,-5106,-4606,74,1217,-839,9261,6425,-9909,-2020,1864,-8350,-3577,-7053,7368,8995,2085,-1514,-3215,-3280,4843,-3547,8122,7491,-7981,1388,-6046,1671,-1710,978,-1903,-4025,-8608,-3410,-7646}

    {-3370,5813,4224,-258,1385,8588,-4616,-3672,-4500,3001,-7098,8701,5307,2604,8127,-3459,1644,-7076,5245,5087,-9403,1722,8536,3516,6443,6340,-1730,418,4359,2652,5760,8918,-9509,-1796,-7071,-5889,-990,9042,3374,-657,7870,-1758,1368,-981,4212,5952,-1526,-4895,-8297,5685}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "prime", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite" }

  32. {5420,5801,5507,-1633,4959,-2646,-5183,-3080,-4164,-4136,-2043,912,473,4152,-1149,-155,-8772,471,-8342,1093,-9298,-7449,3687,4252,5703,3622,-3137,-8099,1929,-2782,1411,1701,2612,-455,-2327,-7905,2626,-9437,4142,1,-2532,-4884,-6981,1155,-1839,-468,-2667,4207,4547,-5004}

    {-2416,9343,7355,-5642,3405,-8834,-4489,7070,3908,7890,4495,-3423,-7281,-5183,2435,4669,7878,2563,-9019,-4039,9429,2482,-9410,1160,5893,1835,-5168,2458,2189,-9532,-6195,-4660,5662,4920,-7916,8072,-6201,3688,-9102,-3891,9172,-5696,-18,6851,-1552,-4489,8571,-8381,9833,6104}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  33. {-3032,-6603,4470,9400,4005,-6458,-998,-9276,941,5813,8509,-2626,-9894,1076,-798,6928,-7589,2420,-2891,9811,-7736,5654,-7048,-7843,-3352,-5865,-2372,-444,1153,4053,-5575,-4793,9296,-9802,-5903,6309,-3606,6605,2189,-4432,-3634,-2882,2507,935,-4719,6801,-1582,8655,-9840,-8792}

    {2804,6461,-7506,1182,6167,-8714,-5892,-1292,2235,-6830,668,-9725,8561,6623,4344,-5520,5936,-2449,-3368,4551,9134,1388,744,3580,-7991,-2635,502,-17,4207,-8347,-7060,-3934,2797,7961,-9355,-6525,8591,9782,-4365,-2829,6875,-7755,7451,3982,4065,114,-4291,2359,98,1237}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  34. {-8983,99,8220,1839,-3799,-1138,-9562,-5163,7113,-2958,7596,-5588,2216,5057,-5966,-557,1425,6266,-3777,-2894,-8762,9000,2475,9407,2126,-4376,-1412,2486,6032,2690,-6671,2605,-1788,4277,-5703,3751,236,-9053,-8843,-6392,2072,5820,-6999,1815,6892,-3839,-659,-2558,-7274,-4704}

    {3853,-8429,448,2932,-6572,-8057,2498,6805,4253,3438,-8915,-7143,-2991,-4386,-6270,3883,-3868,2284,-1554,2900,-2417,-3839,-6597,-8557,-8385,9085,-657,-8278,1731,-3526,-7041,-2825,-5808,9378,6617,7430,4676,-1120,-8299,9352,-2156,-8854,2162,9851,-2189,-3058,3867,7113,6138,-9360}

    Returns: { "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "prime", "composite", "prime", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  35. {-7248,7172,9968,-1051,9836,7528,6135,-8305,-561,1490,7810,2828,-6224,3197,9092,5144,3447,-8293,9384,-4055,-9830,5729,2888,5725,4908,-3782,3138,-7864,-8320,-3806,1380,2895,-3990,-130,2856,-9793,-4335,-6151,4758,-802,7782,-2838,3127,-8416,-9610,-1177,3672,-6035,-9488,9391}

    {1152,9049,-7033,-9136,2155,4962,6646,6534,705,5069,-9199,9196,-4022,5271,7570,3639,-6906,-4300,-3119,1692,4973,7380,-6440,-6207,3022,-2495,-8787,4872,-9537,-6171,-5195,-6484,2764,1553,2020,1168,-5063,-1650,-6876,1145,-8061,-4622,9718,8786,-6139,5238,7308,1679,-5003,-9488}

    Returns: { "composite", "composite", "prime", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "prime", "prime", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "prime", "composite" }

  36. {-5868,-4996,-4006,8291,-8489,-9746,-3139,-4153,2112,7237,5690,9662,9021,7450,-1098,-509,-8052,4546,3301,2524,2086,7437,-5100,3671,-4330,6910,-7851,-844,5008,-4395,8936,2430,4953,-9830,-7908,-9538,-1767,-9130,-143,1222,-8366,-7215,-4694,4117,-2715,-2633,7110,-5512,2939,3977}

    {3767,-1692,-1500,302,5817,5984,6199,8740,468,4522,-6166,8835,-5545,1178,-8755,-3587,-3807,4646,-3022,93,-4260,-9727,201,6283,7180,-430,3698,-1844,-7091,6004,-7742,5686,-6614,-8625,1665,-3437,-6787,890,5843,8934,8478,1878,-4499,77,8317,6607,407,1814,2491,-1732}

    Returns: { "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime" }

  37. {-9133,-7286,9994,5257,-3342,5546,2639,-9344,-5921,6371,-7037,-875,2689,7114,416,6885,2458,-8928,4148,-5806,1571,8129,3689,1158,-4512,-2324,-7550,917,-1823,3568,-3747,-7496,-6222,5886,-1315,2604,-119,-7303,1025,-7724,9378,-970,5783,9666,2282,2226,1708,-3160,-2456,-9505}

    {-4026,3774,2961,-196,1787,462,-7479,8963,5599,-8838,9014,4451,-8804,3441,6360,8981,-3978,3187,-2771,6662,4834,-9305,-8174,-5514,1331,-5553,-7563,-8135,-4408,7976,8167,5574,3340,-1040,7058,965,-5232,5978,8751,-6554,2526,-7736,6322,-9543,-7076,-8359,5623,9436,687,-2929}

    Returns: { "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  38. {-7660,-6959,9661,-446,-2364,5475,6606,4832,7644,-9620,-1845,5385,8716,7521,8981,-3992,-3572,4991,-8591,-2834,-2487,-7134,-1370,1448,4321,2074,9948,-2944,7494,-6257,2871,-8272,8259,8047,-2263,-4360,-5074,4279,-8266,1797,6784,1427,1382,3931,-4436,-5183,-9287,2436,1728,-524}

    {-5255,-4270,-1018,6189,-6250,164,380,5555,-4839,1339,-1679,3404,9480,-927,5113,8954,-4355,-1820,6857,9939,-5707,7228,6518,6893,-8762,5077,-666,-3273,478,-1026,-5658,-1043,-2571,517,9957,-4844,6303,4666,-9874,1389,3458,-5151,9880,328,-588,-8160,3907,-8792,8681,-5982}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  39. {2395,6049,-9657,-4395,-1088,-8001,-574,-8850,2397,7662,288,-9648,-1787,1342,9268,-9446,-1796,-1133,2540,-8310,-8482,-9659,3765,-1105,-8453,9155,-2539,-9556,-9669,8242,7475,-2729,6885,-2450,-8933,8180,-9093,-4497,2921,3184,7864,-6988,-9139,-1342,1784,-8741,-786,-177,-7347,-5523}

    {-5215,416,-4662,5196,8055,-2870,990,-2061,3138,9091,3090,7008,6433,-7146,1237,2042,-5166,-2063,-1092,-2856,4385,-8605,-628,5307,5495,-8355,845,4337,9117,5543,5581,8912,312,5921,9681,-7724,-7259,8735,-916,4851,3385,-4682,-3049,-2926,-5246,-8120,3705,-9954,-277,-6040}

    Returns: { "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime" }

  40. {-2759,-8374,3554,9887,1985,7097,8224,-4852,6933,-3583,-4909,8678,-1061,-8420,1696,-7721,-5444,3681,-6170,-331,-4322,3176,9554,-2002,7631,7621,-2431,9241,-1324,-824,-1119,3800,-5170,2136,3996,-4016,-9497,-6495,-2544,-2259,-3926,3278,4949,-6065,-4177,903,8030,-228,-2269,2334}

    {1222,7349,4348,-8889,4267,-3755,6070,-8062,-5027,6469,-4156,-1019,8972,-2038,-2263,-4770,9523,5685,2538,3620,2281,-6825,8760,-6900,-9644,-6045,-4045,9543,-733,3469,-6265,-4536,-5287,-1011,5810,-7730,9922,-6336,7941,-8599,1226,1385,1854,7219,-2383,-8645,5493,-6161,-2816,8708}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  41. {-715,-4375,3023,-9204,3393,-890,363,-8514,-4912,-8875,-3499,-7495,-1738,1644,3467,-843,-4917,-5960,1473,7201,-7519,5940,-8873,8822,3203,5738,-9050,2455,9714,-5800,7475,-5511,-559,-8661,-3011,1796,8218,6746,6551,3113,8587,6901,-5753,-274,-5369,-3628,9896,-7291,-2,-1502}

    {5704,-4981,-4644,-8712,-5274,-2346,-9783,1370,7542,-6287,-7870,-1298,7027,6681,-7503,-7245,-1655,690,678,-5512,-9816,-3843,-1065,-603,-5366,-2629,-1695,1638,-5641,4483,-7677,3417,8481,6712,-6342,9547,7522,9896,-9816,2344,-9765,9780,-9114,-5510,4069,8021,6502,-4742,-6775,-3158}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  42. {-4162,-4191,6418,9992,-4228,8800,1442,-592,462,2221,3886,200,1461,-7188,3922,-1109,-6178,-1396,-896,7874,-4191,9025,6338,6196,-1585,-6023,-1368,4273,9753,9959,-7978,-3912,1462,-5580,-282,6078,-7557,3785,9482,1156,3201,-9538,5053,9275,-913,-4021,-164,-247,-9583,5934}

    {8964,-3680,-7479,8925,-5999,9916,5332,6417,-3312,2499,-9093,-2223,8337,2822,7142,-6005,7404,1599,-5439,-5281,3770,8770,-5595,2753,5810,-515,996,-7764,-9683,-7486,5632,-9281,6969,-2238,-4116,7714,-2459,7232,228,-7919,2422,-6045,1302,2275,-1114,-9668,1297,-6616,-5305,-8832}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  43. {3374,9963,-5842,1109,-8542,8775,1867,-2227,780,-2231,5649,-455,-8512,-5913,-3269,8334,-7831,-8878,7718,-1989,1006,9450,1374,-8927,192,-6233,1601,3886,5645,5317,7637,4403,4385,9458,-2044,2143,-2972,-8349,-918,-9332,-7206,-6022,-8342,-936,-2041,5663,1940,3609,-7560,-8100}

    {-4827,8474,-8233,9913,5444,-7719,-8386,9008,4690,9308,4745,6099,-9302,-2018,-8761,5139,-5506,-6767,8136,-5689,-7415,-573,705,1833,6605,3247,9887,7489,2917,4278,-9757,-1283,2862,-5782,-204,-7568,3452,-825,9164,5859,9425,-3215,-1453,-584,1313,-4472,1567,-2758,-2865,6890}

    Returns: { "composite", "composite", "prime", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  44. {5492,-5616,-4624,5559,-3086,-8726,-5566,-1156,-3701,-1682,-9505,5203,6051,-6650,-9202,8972,6321,-1818,6202,5403,3158,2393,1356,-2427,-2777,7544,-4682,2542,3590,-8097,7979,-3171,6551,-7381,6292,1667,3999,-1820,-2901,4602,8508,2586,-3775,-4078,-283,9799,-9168,5989,5526,3392}

    {6051,-3283,-5181,-3848,-3281,7366,3553,3202,-5836,-9598,-821,-9487,4196,1479,9304,-4061,-2420,-9011,4204,-3996,7530,-8738,2701,-5786,-5310,-9169,2537,-6781,7203,6242,-3790,288,1306,-9173,3596,804,6473,5985,-835,-6079,423,-3214,3115,1345,-77,9663,-2929,7069,-2813,3843}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  45. {-4526,1982,5481,8649,-96,-194,3497,-4061,8367,1990,-36,4046,7821,-741,-8713,4951,1963,-4161,-6443,6402,-2153,2476,5078,-7347,-7719,-6397,-5978,-4308,-1498,-2732,7238,4293,-791,1488,5985,-9012,-628,4390,-9727,-7135,-9060,1574,-5040,6735,630,2519,-1430,-6428,-4590,-4289}

    {-1871,5483,-2435,-4778,-1131,-3498,-9590,9484,-1533,-7530,2731,-8039,-527,-5146,9527,773,7596,9017,-1786,1334,3380,-3713,7206,6819,-2844,-4914,9833,6716,608,-7164,-942,-2357,-8024,-4518,2104,3032,5653,5314,-7025,-1129,7357,3796,2421,-9070,-216,879,702,7355,-8096,8463}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  46. {1368,-6093,-549,4089,-9204,-2528,-9022,5682,-4967,6402,-7703,-596,-4060,6692,3368,-4433,-428,-5287,4400,1180,-6969,9286,-7960,1719,-757,-6915,7969,189,-7123,-4120,5331,-9564,702,4287,-2561,-5365,19,-9190,-7120,-3121,-9632,-419,-8115,-5138,-8418,-7288,-7867,-3724,9387,-789}

    {-8584,-7805,-4477,5569,1,5752,8197,1713,6407,1572,-349,-7028,3498,5126,-343,-3277,6511,4945,9638,5469,-940,-8031,-5709,-4140,-8323,4847,-8736,-7285,855,9405,5081,8116,1220,5813,-6079,-2004,789,5472,-4437,7210,1040,-9452,5549,-2680,-274,9202,-4235,-8959,-4382,-342}

    Returns: { "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite" }

  47. {-5460,9959,-2004,2614,-1868,-7667,-9174,-1363,-4408,2770,-8689,-3900,3371,6232,-8876,514,5662,-1291,-7628,7164,-960,9035,-8194,5767,-1118,-1649,-3694,6101,-7900,-6330,-950,-4847,-2559,-1468,-1507,4420,-7463,-5333,-5405,-8803,3699,-1346,-9969,-1329,9185,5074,1599,-8373,-3376,-8410}

    {706,752,-6464,-3083,4218,-9998,9539,-841,5794,-315,6149,-556,5642,7855,-1894,1790,-2049,-4655,-3001,-9867,1655,9429,3218,-2271,-6937,9234,-5650,-7484,-1712,4662,8701,3281,-388,-5270,-1624,2589,-959,1148,8263,-4045,-5025,5696,1534,9461,8434,-6930,4202,4718,677,6170}

    Returns: { "composite", "composite", "composite", "composite", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  48. {1376,-3388,-8041,8711,2893,3981,7741,7278,-2202,8559,3323,1636,-5919,9493,-407,7220,-5574,-1275,5871,8637,-2926,108,3573,-9670,-4314,-6870,7238,-6502,5105,-5362,-3404,9498,5722,6544,-7752,1673,5974,471,7218,7422,-8410,626,479,7345,-7970,562,-257,6249,5604,-3085}

    {597,2142,6659,-7107,-1348,-6164,7384,7935,-285,-2881,-4622,6930,4555,-6478,6837,5866,-1815,8707,180,-4649,7684,-4436,-6617,3167,8115,-172,9026,-7585,1098,-66,7881,-7991,7512,4755,8725,-7198,5443,-7799,1272,51,1679,7280,-1471,-6884,4606,5400,8070,9027,9810,-7889}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite" }

  49. {2176,-903,6648,5387,-6356,2101,-12,3070,-2551,596,8482,9348,-3595,6686,-2806,-9307,-4834,-195,3060,5009,3128,-9869,8838,-5002,-5620,114,9720,-1350,6846,-7895,5413,-2340,-1106,-1249,-3535,-8582,4279,-8138,3002,6613,3852,3794,-8529,-4168,-9035,-119,1492,7850,-858,2328}

    {7297,250,-5895,8744,-172,2185,-7750,8103,-6438,7060,1732,3123,-4892,-6963,8575,-8907,3098,3095,-3371,3215,2781,-4773,-6226,-4104,8651,3855,9851,4964,-7398,-2650,3448,7332,-9608,1907,-6970,7823,2693,-1385,-6370,8410,8511,-9936,2622,-896,9729,7536,-1515,-6510,-7240,7186}

    Returns: { "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  50. {-6679,1491,4226,3819,6758,4149,1282,-9616,1513,-9355,9064,9346,-5170,-1191,7192,-2550,-8590,-8325,-3144,-477,3307,946,-6621,-2688,4699,9967,9375,9805,329,-8413,-710,8527,2093,7261,-6903,-4430,-576,-9380,-2356,5335,4465,8744,9625,3928,523,-3391,1461,-1650,-6904,6823}

    {-9466,2154,-1789,8128,-8266,-4541,3894,2126,-9293,4305,-5612,728,5511,9837,390,2004,-6606,7026,7950,9073,-2606,3725,-8786,7505,174,-4152,-155,7994,-2786,-9131,8262,-9544,2857,-6827,-9706,5914,8348,-9730,8752,-2886,-5107,-5414,2297,4643,-2355,4749,-3188,-3216,8440,4081}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  51. {5535,-512,-1741,-3949,3826,7483,-8264,-7236,253,-9980,1793,6882,6396,5720,6508,8129,-1209,4266,-3648,6515,5025,4832,-8758,-7006,6756,-794,4444,-9142,342,-8367,1022,1309,3080,-468,-2827,2266,-4114,4229,-3378,8925,4870,4043,-1972,5657,9973,-9879,1481,-9054,962,8012}

    {73,2053,-4541,-5664,-3389,-5185,-2901,-1156,9603,1288,-4052,-6324,-9779,2856,8876,-1239,1846,-7667,-1555,-3528,3511,-1828,2622,-9418,-1848,6566,-7153,-5491,-937,-6456,2048,8684,-5525,8486,3067,-9180,1974,2335,4532,5818,-8877,9205,-5924,5444,-2703,3243,2278,5815,696,5664}

    Returns: { "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  52. {-893,-4361,7865,-3655,-6824,-1608,7439,1124,-1099,-9136,5302,1135,1982,8208,-4120,-2295,2289,-7850,4145,8241,1502,593,-7058,2324,2334,2697,3984,-8211,4643,9099,5527,5394,1514,-258,-926,2764,2725,7885,-4512,-3698,6622,5022,20,2475,765,457,5360,-9254,-2470,5024}

    {-4141,3808,566,-2025,-1108,-5822,4889,-8234,-1097,1777,852,8880,-7371,9917,-4601,-6437,1732,-4244,-4278,-9050,312,398,-8321,-925,8149,9817,9385,-8477,-535,-9317,-3405,5828,1425,-3655,-3115,-5373,-5494,-4120,-9589,-9590,4971,-9650,-5268,2154,9922,-8538,-4908,-842,-2115,-1662}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  53. {-6470,8276,-2825,-4561,-5863,-8783,5227,8180,-9401,-1490,5346,-509,2065,-2903,-477,-4688,2243,-5717,-7899,7595,-8872,3973,7681,7466,-2890,2947,-8813,-2662,2292,-7391,1334,3021,2166,-2601,-2288,-1669,9448,-5608,9442,-2232,-9663,-3676,2860,-3820,2493,9255,-4161,6554,247,-4475}

    {73,4390,6687,7535,6323,6395,-200,-1143,2330,-5374,-3714,-4285,-5713,-5572,2963,-6460,-2923,6678,7432,6462,7608,3830,-9168,5047,9540,4206,4694,-5399,3566,66,-2321,7013,9384,6958,7886,-975,-3085,4762,-2497,4495,-4448,-4387,5598,3821,879,1164,5376,-2296,-890,3368}

    Returns: { "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  54. {6206,9375,685,9655,-5778,1831,-867,-9884,-3676,5248,-2247,-7583,3545,8886,5964,8655,-9702,105,-6837,-2627,6689,2119,5124,2954,3512,-8214,2890,-9358,252,-3622,-5568,-6993,-380,7651,-6851,-5944,6451,-9991,-28,-159,-4871,7191,7899,4846,-1052,-9841,-2943,-5663,-9444,6220}

    {-1537,5215,1230,-5118,-7220,6810,8197,-7082,-6312,-2156,-2699,5727,-7620,9442,8385,3964,-7754,-4328,4068,-9877,1461,-1311,-5109,-3371,2138,3172,1003,3171,-2623,882,9236,-4780,-4391,8569,4888,9801,-388,-3001,-8109,8666,-3935,4345,3195,4609,-9851,-5326,9826,-2625,-4389,-5089}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "prime", "composite", "composite", "composite", "composite" }

  55. {-6218,-6630,-6641,5120,-8542,-8653,-1817,-5859,-5971,-9778,-5040,-9698,8809,-764,-3710,7790,3124,6061,4329,-4798,1425,6968,1965,2865,9332,7381,-259,-3717,9091,-2767,7967,-292,-1000,7129,-5978,1533,1841,-5036,-4965,-7879,2504,144,8160,-2088,-7748,-4237,-1621,2251,9010,3489}

    {3144,6766,-1382,9295,929,2204,-9450,1063,-5342,3296,-6555,-6985,-4147,4994,-3500,2771,7228,-7034,8049,-6797,6019,1740,2763,-2879,522,-2215,-6710,1253,5965,3212,5067,-292,-4503,9456,-9423,-4189,-5139,8013,-7646,4188,-3211,-4751,-7587,5334,-8826,2687,3706,-4485,-6651,-8208}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite" }

  56. {-3169,-6299,5045,2423,-962,9082,862,-8601,-7910,3484,7513,-4287,9330,-4349,-6397,8893,-9613,7095,8406,3186,-6018,9274,-5481,-6011,9838,8620,4796,-3422,6642,-9191,1772,-9506,-8459,-1359,9431,885,6395,5195,5616,-8714,5582,-5104,1616,9163,8608,-5408,7480,-4767,-8458,-818}

    {3155,5393,-6101,-7777,1083,-9118,7901,302,-5545,-2712,9234,4179,-5793,1764,-3658,-94,7916,-2893,9839,7203,4429,-6795,3262,8632,-7320,5728,-1655,-5604,-3786,-3227,2844,-373,7939,-8974,4345,9272,4750,-9731,2238,5215,634,-4225,8152,-6194,8974,3677,2965,-3875,-8648,7864}

    Returns: { "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  57. {-7509,-147,3832,3830,-7404,-8596,934,6377,6574,697,-7688,1128,6148,-4688,889,5039,6483,3689,6213,5388,934,-8900,-2088,6150,4358,-8794,-2874,-6016,-5791,2317,7341,-3556,-3591,-2020,-9052,-8126,-5053,9593,3790,3345,-310,6025,7003,4562,-6170,9280,-3839,-1110,3119,-8154}

    {-8505,-5269,2962,7431,6031,821,1262,1445,-6197,-580,1719,7395,-4375,6453,4470,-8094,-1365,-8317,1514,-1330,-6169,1935,2616,19,-152,-2778,5931,8886,-1825,6784,1649,-6953,-3969,-5604,8681,-1295,-191,4096,2264,1199,-7686,-1586,5080,2960,-3282,-302,458,1145,-1223,-6070}

    Returns: { "composite", "composite", "composite", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  58. {6059,-2645,1180,-9337,-7515,9909,-7460,-440,-5880,6029,-5343,6030,4449,2498,8594,8758,9649,-9622,-3403,8648,382,422,1590,6360,8780,-2574,1655,-5883,9323,4305,548,2209,6201,-4711,-4221,2695,9846,8199,9661,9953,-9816,3305,-20,4788,8805,-6306,4912,-5365,-4721,4783}

    {-1201,8307,-503,4686,-1718,-4077,-5887,8551,1131,-2912,5263,-7570,79,6446,-6237,3869,7779,4223,5376,-6896,5231,3685,-9977,9800,7359,1688,-4658,-9481,5950,3044,1232,7420,838,4639,3492,6428,6483,-5602,8950,2141,-2068,-6511,981,5671,7864,6767,4186,-4095,-2165,-291}

    Returns: { "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "prime", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  59. {4338,-6483,3462,-7225,7621,-8928,9046,3546,-9873,1651,-4833,4464,7848,8624,-8999,-7257,2487,-7848,5967,-6069,5384,9006,-7990,6145,7084,-9877,-5079,-206,7993,1354,5084,9016,5995,-7415,4333,-2896,3703,-1384,3028,5064,-11,-4724,-7564,-785,-5505,6237,4377,7485,-5031,5233}

    {6712,7570,9202,-9843,-4698,3730,-5030,6658,1561,5542,6652,-1568,5869,-5331,-2661,875,2499,-2220,9637,5274,-7009,-1889,2601,3517,-5073,6570,4545,9432,7659,368,-783,1778,7559,2784,-3126,9917,9714,-7311,-9420,7904,948,-5233,-6115,2452,8991,9871,8769,1669,9570,-679}

    Returns: { "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite" }

  60. { 0, 0, 0, 1, -1, 1, 1, -1, -1, 2, -2, 0, 0, 1, 1, 2, 2, -1, -1, -2, -2, 3, -3, 0, 0, 1, 1, 3, 3, -1, -1, -3, -3, 2, 2, -2, -2, 0, 0, 4, -4, 1, 1, 4, 4, -1, -1, -4, -4 }

    { 0, 1, -1, 0, 0, 1, -1, 1, -1, 0, 0, 2, -2, 2, -2, 1, -1, 2, -2, 1, -1, 0, 0, -3, 3, 3, -3, 1, -1, 3, -3, 1, -1, 2, -2, 2, -2, 4, -4, 0, 0, 4, -4, 1, -1, 4, -4, 1, -1 }

    Returns: { "zero", "unit", "unit", "unit", "unit", "prime", "prime", "prime", "prime", "composite", "composite", "composite", "composite", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "composite", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime" }

  61. { 0, 1, 0, 1, -1, 2, 0, 0, -3 }

    { 0, 0, -1, 1, 1, 0, -3, 5, -2 }

    Returns: { "zero", "unit", "unit", "prime", "prime", "composite", "prime", "composite", "prime" }

  62. { 99, -39, 0, 0, 97, 1003, 9998, 1119 }

    { 0, 0, 35, -129, -2, -232, 9997, 1120 }

    Returns: { "composite", "composite", "composite", "composite", "prime", "prime", "prime", "prime" }

  63. { 0, 1, 0, 1, -1, 2, 0, 0, -3 }

    { 15, 0, -1, 1, 1, 0, -3, 5, -2 }

    Returns: { "composite", "unit", "unit", "prime", "prime", "composite", "prime", "composite", "prime" }

  64. { 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998 }

    { 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997 }

    Returns: { "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime" }

  65. { 99, -39, 0, 0, 97, 1003, 9998, 1119, 9998, 9997, 9998, 9997 }

    { 0, 0, 35, -129, -2, -232, 9997, 1120, 9997, 9998, 9997, 9998 }

    Returns: { "composite", "composite", "composite", "composite", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime" }

  66. { 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000 }

    { 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991 }

    Returns: { "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime" }

  67. { 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998, 9998 }

    { 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 9997, 997 }

    Returns: { "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "composite" }

  68. { 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000, 10000 }

    { 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991, 9991 }

    Returns: { "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime", "prime" }

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