The Legendre Conjecture with 0 < n < 51 and display of Prime Number alignments [La conjecture de Legendre avec 0 < n < 51 avec des alignements de nombres premiers].




The Legendre conjecture states that, n being any integer number, between n2 and (n+1)2 there is at least one prime number.


On this picture, each vertical segment displays an integer number n starting at 1 (left-hand side). On each of this vertical segment, the spheres are displaying all the prime numbers between n2 and (n+1)2 (the used colors are arbitrary).


One can see Prime Number ('PN') alignments. In particular the white spheres are displaying the following one: 
                    
                    i             = {  1         2         3         4         5         6         7         8         9        10        11        12        13        14        15        16        17        18        19        20        21        22        23        24        25        26        27  }
                    n(i)          = { 14        15        16        17        18        19        20        21        22        23        24        25        26        27        28        29        30        31        32        33        34        35        36        37        38        39        40  }
                    PN(n)         = {223       251       281       313       347       383       421       461       503       547       593       641       691       743       797       853       911       971      1033      1097      1163      1231      1301      1373      1447      1523      1601  } The next number of this sequence is 1681=412=n(27+1)2, when the first one should be 223-(28-2)=197 that is a prime number.
                                       \        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /
                                       |\      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /
                                       | \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /
                    PN[n+1]-PN[n] = {  |   28        30        32        34        36        38        40        42        44        46        48        50        52        54        56        58        60        62        64        66        68        70        72        74        76        78
                                       |    |\       /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /\        /
                                       |    | \     /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /  \      /
                                       |    |  \   /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /    \    /
                                    {  |    |    2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2         2            }
                                       |    |
                                       |    |
                                        -----------> 28 = 2x14 = 2n(1)



See some related pictures (including this one):





Here are the first Prime Number subsets with n ∈ [1,...]: 
                    
                    n     : [n2,(n+1)2]   --> {Prime Number list inside [n2,(n+1)2]}
 
                    n=  1 : [1,4]         --> {2,3}
                    n=  2 : [4,9]         --> {5,7}
                    n=  3 : [9,16]        --> {11,13}
                    n=  4 : [16,25]       --> {17,19,23}
                    n=  5 : [25,36]       --> {29,31}
                    n=  6 : [36,49]       --> {37,41,43,47}
                    n=  7 : [49,64]       --> {53,59,61}
                    n=  8 : [64,81]       --> {67,71,73,79}
                    n=  9 : [81,100]      --> {83,89,97}
                    n= 10 : [100,121]     --> {101,103,107,109,113}
                    n= 11 : [121,144]     --> {127,131,137,139}
                    n= 12 : [144,169]     --> {149,151,157,163,167}
                    n= 13 : [169,196]     --> {173,179,181,191,193}
                    n= 14 : [196,225]     --> {197,199,211,223}
                    n= 15 : [225,256]     --> {227,229,233,239,241,251}
                    n= 16 : [256,289]     --> {257,263,269,271,277,281,283}
                    n= 17 : [289,324]     --> {293,307,311,313,317}
                    n= 18 : [324,361]     --> {331,337,347,349,353,359}
                    n= 19 : [361,400]     --> {367,373,379,383,389,397}
                    n= 20 : [400,441]     --> {401,409,419,421,431,433,439}
                    n= 21 : [441,484]     --> {443,449,457,461,463,467,479}
                    n= 22 : [484,529]     --> {487,491,499,503,509,521,523}
                    n= 23 : [529,576]     --> {541,547,557,563,569,571}
                    n= 24 : [576,625]     --> {577,587,593,599,601,607,613,617,619}
                    n= 25 : [625,676]     --> {631,641,643,647,653,659,661,673}
                    n= 26 : [676,729]     --> {677,683,691,701,709,719,727}
                    n= 27 : [729,784]     --> {733,739,743,751,757,761,769,773}
                    n= 28 : [784,841]     --> {787,797,809,811,821,823,827,829,839}
                    n= 29 : [841,900]     --> {853,857,859,863,877,881,883,887}
                    n= 30 : [900,961]     --> {907,911,919,929,937,941,947,953}
                    n= 31 : [961,1024]    --> {967,971,977,983,991,997,1009,1013,1019,1021}
                    n= 32 : [1024,1089]   --> {1031,1033,1039,1049,1051,1061,1063,1069,1087}
                    n= 33 : [1089,1156]   --> {1091,1093,1097,1103,1109,1117,1123,1129,1151,1153}
                    n= 34 : [1156,1225]   --> {1163,1171,1181,1187,1193,1201,1213,1217,1223}
                    n= 35 : [1225,1296]   --> {1229,1231,1237,1249,1259,1277,1279,1283,1289,1291}
                    n= 36 : [1296,1369]   --> {1297,1301,1303,1307,1319,1321,1327,1361,1367}
                    n= 37 : [1369,1444]   --> {1373,1381,1399,1409,1423,1427,1429,1433,1439}
                    n= 38 : [1444,1521]   --> {1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511}
                    n= 39 : [1521,1600]   --> {1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597}
                    n= 40 : [1600,1681]   --> {1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669}
                    n= 41 : [1681,1764]   --> {1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,1759}
                    n= 42 : [1764,1849]   --> {1777,1783,1787,1789,1801,1811,1823,1831,1847}
                    n= 43 : [1849,1936]   --> {1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933}
                    n= 44 : [1936,2025]   --> {1949,1951,1973,1979,1987,1993,1997,1999,2003,2011,2017}
                    n= 45 : [2025,2116]   --> {2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,2113}
                    n= 46 : [2116,2209]   --> {2129,2131,2137,2141,2143,2153,2161,2179,2203,2207}
                    n= 47 : [2209,2304]   --> {2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297}
                    n= 48 : [2304,2401]   --> {2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399}
                    n= 49 : [2401,2500]   --> {2411,2417,2423,2437,2441,2447,2459,2467,2473,2477}
                    n= 50 : [2500,2601]   --> {2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,2593}
                    n= 51 : [2601,2704]   --> {2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,2689,2693,2699}
                    n= 52 : [2704,2809]   --> {2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,2777,2789,2791,2797,2801,2803}
                    n= 53 : [2809,2916]   --> {2819,2833,2837,2843,2851,2857,2861,2879,2887,2897,2903,2909}
                    n= 54 : [2916,3025]   --> {2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,3019,3023}
                    n= 55 : [3025,3136]   --> {3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121}
                    n= 56 : [3136,3249]   --> {3137,3163,3167,3169,3181,3187,3191,3203,3209,3217,3221,3229}
                    n= 57 : [3249,3364]   --> {3251,3253,3257,3259,3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361}
                    n= 58 : [3364,3481]   --> {3371,3373,3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469}
                    n= 59 : [3481,3600]   --> {3491,3499,3511,3517,3527,3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593}
                    n= 60 : [3600,3721]   --> {3607,3613,3617,3623,3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719}
                    n= 61 : [3721,3844]   --> {3727,3733,3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833}
                    n= 62 : [3844,3969]   --> {3847,3851,3853,3863,3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967}
                    n= 63 : [3969,4096]   --> {3989,4001,4003,4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093}
                    n= 64 : [4096,4225]   --> {4099,4111,4127,4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219}
                    n= 65 : [4225,4356]   --> {4229,4231,4241,4243,4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349}
                    n= 66 : [4356,4489]   --> {4357,4363,4373,4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483}
                    n= 67 : [4489,4624]   --> {4493,4507,4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621}
                    n= 68 : [4624,4761]   --> {4637,4639,4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759}
                    n= 69 : [4761,4900]   --> {4783,4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889}
                    n= 70 : [4900,5041]   --> {4903,4909,4919,4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,5021,5023,5039}
                    n= 71 : [5041,5184]   --> {5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,5167,5171,5179}
                    n= 72 : [5184,5329]   --> {5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,5303,5309,5323}
                    n= 73 : [5329,5476]   --> {5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,5437,5441,5443,5449,5471}
                    n= 74 : [5476,5625]   --> {5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,5557,5563,5569,5573,5581,5591,5623}
                    n= 75 : [5625,5776]   --> {5639,5641,5647,5651,5653,5657,5659,5669,5683,5689,5693,5701,5711,5717,5737,5741,5743,5749}
                    n= 76 : [5776,5929]   --> {5779,5783,5791,5801,5807,5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,5923,5927}
                    n= 77 : [5929,6084]   --> {5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,6079}
                    n= 78 : [6084,6241]   --> {6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,6211,6217,6221,6229}
                    n= 79 : [6241,6400]   --> {6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397}
                    n= 80 : [6400,6561]   --> {6421,6427,6449,6451,6469,6473,6481,6491,6521,6529,6547,6551,6553}
                    n= 81 : [6561,6724]   --> {6563,6569,6571,6577,6581,6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719}
                    n= 82 : [6724,6889]   --> {6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,6863,6869,6871,6883}
                    n= 83 : [6889,7056]   --> {6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997,7001,7013,7019,7027,7039,7043}
                    n= 84 : [7056,7225]   --> {7057,7069,7079,7103,7109,7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219}
                    n= 85 : [7225,7396]   --> {7229,7237,7243,7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393}
                    n= 86 : [7396,7569]   --> {7411,7417,7433,7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561}
                    n= 87 : [7569,7744]   --> {7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,7673,7681,7687,7691,7699,7703,7717,7723,7727,7741}
                    n= 88 : [7744,7921]   --> {7753,7757,7759,7789,7793,7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919}
                    n= 89 : [7921,8100]   --> {7927,7933,7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,8093}
                    n= 90 : [8100,8281]   --> {8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,8233,8237,8243,8263,8269,8273}
                    n= 91 : [8281,8464]   --> {8287,8291,8293,8297,8311,8317,8329,8353,8363,8369,8377,8387,8389,8419,8423,8429,8431,8443,8447,8461}
                    n= 92 : [8464,8649]   --> {8467,8501,8513,8521,8527,8537,8539,8543,8563,8573,8581,8597,8599,8609,8623,8627,8629,8641,8647}
                    n= 93 : [8649,8836]   --> {8663,8669,8677,8681,8689,8693,8699,8707,8713,8719,8731,8737,8741,8747,8753,8761,8779,8783,8803,8807,8819,8821,8831}
                    n= 94 : [8836,9025]   --> {8837,8839,8849,8861,8863,8867,8887,8893,8923,8929,8933,8941,8951,8963,8969,8971,8999,9001,9007,9011,9013}
                    n= 95 : [9025,9216]   --> {9029,9041,9043,9049,9059,9067,9091,9103,9109,9127,9133,9137,9151,9157,9161,9173,9181,9187,9199,9203,9209}
                    n= 96 : [9216,9409]   --> {9221,9227,9239,9241,9257,9277,9281,9283,9293,9311,9319,9323,9337,9341,9343,9349,9371,9377,9391,9397,9403}
                    n= 97 : [9409,9604]   --> {9413,9419,9421,9431,9433,9437,9439,9461,9463,9467,9473,9479,9491,9497,9511,9521,9533,9539,9547,9551,9587,9601}
                    n= 98 : [9604,9801]   --> {9613,9619,9623,9629,9631,9643,9649,9661,9677,9679,9689,9697,9719,9721,9733,9739,9743,9749,9767,9769,9781,9787,9791}
                    n= 99 : [9801,10000]  --> {9803,9811,9817,9829,9833,9839,9851,9857,9859,9871,9883,9887,9901,9907,9923,9929,9931,9941,9949,9967,9973}
                    n=100 : [10000,10201] --> {10007,10009,10037,10039,10061,10067,10069,10079,10091,10093,10099,10103,10111,10133,10139,10141,10151,10159,10163,10169,10177,10181,10193}
                    n=101 : [10201,10404] --> {10211,10223,10243,10247,10253,10259,10267,10271,10273,10289,10301,10303,10313,10321,10331,10333,10337,10343,10357,10369,10391,10399}
                    n=102 : [10404,10609] --> {10427,10429,10433,10453,10457,10459,10463,10477,10487,10499,10501,10513,10529,10531,10559,10567,10589,10597,10601,10607}
                    n=103 : [10609,10816] --> {10613,10627,10631,10639,10651,10657,10663,10667,10687,10691,10709,10711,10723,10729,10733,10739,10753,10771,10781,10789,10799}
                    n=104 : [10816,11025] --> {10831,10837,10847,10853,10859,10861,10867,10883,10889,10891,10903,10909,10937,10939,10949,10957,10973,10979,10987,10993,11003}
                    n=105 : [11025,11236] --> {11027,11047,11057,11059,11069,11071,11083,11087,11093,11113,11117,11119,11131,11149,11159,11161,11171,11173,11177,11197,11213}
                    n=106 : [11236,11449] --> {11239,11243,11251,11257,11261,11273,11279,11287,11299,11311,11317,11321,11329,11351,11353,11369,11383,11393,11399,11411,11423,11437,11443,11447}
                    n=107 : [11449,11664] --> {11467,11471,11483,11489,11491,11497,11503,11519,11527,11549,11551,11579,11587,11593,11597,11617,11621,11633,11657}
                    n=108 : [11664,11881] --> {11677,11681,11689,11699,11701,11717,11719,11731,11743,11777,11779,11783,11789,11801,11807,11813,11821,11827,11831,11833,11839,11863,11867}
                    n=109 : [11881,12100] --> {11887,11897,11903,11909,11923,11927,11933,11939,11941,11953,11959,11969,11971,11981,11987,12007,12011,12037,12041,12043,12049,12071,12073,12097}
                    n=110 : [12100,12321] --> {12101,12107,12109,12113,12119,12143,12149,12157,12161,12163,12197,12203,12211,12227,12239,12241,12251,12253,12263,12269,12277,12281,12289,12301}
                    n=111 : [12321,12544] --> {12323,12329,12343,12347,12373,12377,12379,12391,12401,12409,12413,12421,12433,12437,12451,12457,12473,12479,12487,12491,12497,12503,12511,12517,12527,12539,12541}
                    n=112 : [12544,12769] --> {12547,12553,12569,12577,12583,12589,12601,12611,12613,12619,12637,12641,12647,12653,12659,12671,12689,12697,12703,12713,12721,12739,12743,12757,12763}
                    n=113 : [12769,12996] --> {12781,12791,12799,12809,12821,12823,12829,12841,12853,12889,12893,12899,12907,12911,12917,12919,12923,12941,12953,12959,12967,12973,12979,12983}
                    n=114 : [12996,13225] --> {13001,13003,13007,13009,13033,13037,13043,13049,13063,13093,13099,13103,13109,13121,13127,13147,13151,13159,13163,13171,13177,13183,13187,13217,13219}
                    n=115 : [13225,13456] --> {13229,13241,13249,13259,13267,13291,13297,13309,13313,13327,13331,13337,13339,13367,13381,13397,13399,13411,13417,13421,13441,13451}
                    n=116 : [13456,13689] --> {13457,13463,13469,13477,13487,13499,13513,13523,13537,13553,13567,13577,13591,13597,13613,13619,13627,13633,13649,13669,13679,13681,13687}
                    n=117 : [13689,13924] --> {13691,13693,13697,13709,13711,13721,13723,13729,13751,13757,13759,13763,13781,13789,13799,13807,13829,13831,13841,13859,13873,13877,13879,13883,13901,13903,13907,13913,13921}
                    n=118 : [13924,14161] --> {13931,13933,13963,13967,13997,13999,14009,14011,14029,14033,14051,14057,14071,14081,14083,14087,14107,14143,14149,14153,14159}
                    n=119 : [14161,14400] --> {14173,14177,14197,14207,14221,14243,14249,14251,14281,14293,14303,14321,14323,14327,14341,14347,14369,14387,14389}
                    n=120 : [14400,14641] --> {14401,14407,14411,14419,14423,14431,14437,14447,14449,14461,14479,14489,14503,14519,14533,14537,14543,14549,14551,14557,14561,14563,14591,14593,14621,14627,14629,14633,14639}
                    n=121 : [14641,14884] --> {14653,14657,14669,14683,14699,14713,14717,14723,14731,14737,14741,14747,14753,14759,14767,14771,14779,14783,14797,14813,14821,14827,14831,14843,14851,14867,14869,14879}
                    n=122 : [14884,15129] --> {14887,14891,14897,14923,14929,14939,14947,14951,14957,14969,14983,15013,15017,15031,15053,15061,15073,15077,15083,15091,15101,15107,15121}
                    n=123 : [15129,15376] --> {15131,15137,15139,15149,15161,15173,15187,15193,15199,15217,15227,15233,15241,15259,15263,15269,15271,15277,15287,15289,15299,15307,15313,15319,15329,15331,15349,15359,15361,15373}
                    n=124 : [15376,15625] --> {15377,15383,15391,15401,15413,15427,15439,15443,15451,15461,15467,15473,15493,15497,15511,15527,15541,15551,15559,15569,15581,15583,15601,15607,15619}
                    n=125 : [15625,15876] --> {15629,15641,15643,15647,15649,15661,15667,15671,15679,15683,15727,15731,15733,15737,15739,15749,15761,15767,15773,15787,15791,15797,15803,15809,15817,15823,15859}
                    n=126 : [15876,16129] --> {15877,15881,15887,15889,15901,15907,15913,15919,15923,15937,15959,15971,15973,15991,16001,16007,16033,16057,16061,16063,16067,16069,16073,16087,16091,16097,16103,16111,16127}
                    n=127 : [16129,16384] --> {16139,16141,16183,16187,16189,16193,16217,16223,16229,16231,16249,16253,16267,16273,16301,16319,16333,16339,16349,16361,16363,16369,16381}
                    n=128 : [16384,16641] --> {16411,16417,16421,16427,16433,16447,16451,16453,16477,16481,16487,16493,16519,16529,16547,16553,16561,16567,16573,16603,16607,16619,16631,16633}
                    n=129 : [16641,16900] --> {16649,16651,16657,16661,16673,16691,16693,16699,16703,16729,16741,16747,16759,16763,16787,16811,16823,16829,16831,16843,16871,16879,16883,16889}
                    n=130 : [16900,17161] --> {16901,16903,16921,16927,16931,16937,16943,16963,16979,16981,16987,16993,17011,17021,17027,17029,17033,17041,17047,17053,17077,17093,17099,17107,17117,17123,17137,17159}
                    n=131 : [17161,17424] --> {17167,17183,17189,17191,17203,17207,17209,17231,17239,17257,17291,17293,17299,17317,17321,17327,17333,17341,17351,17359,17377,17383,17387,17389,17393,17401,17417,17419}
                    n=132 : [17424,17689] --> {17431,17443,17449,17467,17471,17477,17483,17489,17491,17497,17509,17519,17539,17551,17569,17573,17579,17581,17597,17599,17609,17623,17627,17657,17659,17669,17681,17683}
                    n=133 : [17689,17956] --> {17707,17713,17729,17737,17747,17749,17761,17783,17789,17791,17807,17827,17837,17839,17851,17863,17881,17891,17903,17909,17911,17921,17923,17929,17939}
                    n=134 : [17956,18225] --> {17957,17959,17971,17977,17981,17987,17989,18013,18041,18043,18047,18049,18059,18061,18077,18089,18097,18119,18121,18127,18131,18133,18143,18149,18169,18181,18191,18199,18211,18217,18223}
                    n=135 : [18225,18496] --> {18229,18233,18251,18253,18257,18269,18287,18289,18301,18307,18311,18313,18329,18341,18353,18367,18371,18379,18397,18401,18413,18427,18433,18439,18443,18451,18457,18461,18481,18493}
                    n=136 : [18496,18769] --> {18503,18517,18521,18523,18539,18541,18553,18583,18587,18593,18617,18637,18661,18671,18679,18691,18701,18713,18719,18731,18743,18749,18757}
                    n=137 : [18769,19044] --> {18773,18787,18793,18797,18803,18839,18859,18869,18899,18911,18913,18917,18919,18947,18959,18973,18979,19001,19009,19013,19031,19037}
                    n=138 : [19044,19321] --> {19051,19069,19073,19079,19081,19087,19121,19139,19141,19157,19163,19181,19183,19207,19211,19213,19219,19231,19237,19249,19259,19267,19273,19289,19301,19309,19319}
                    n=139 : [19321,19600] --> {19333,19373,19379,19381,19387,19391,19403,19417,19421,19423,19427,19429,19433,19441,19447,19457,19463,19469,19471,19477,19483,19489,19501,19507,19531,19541,19543,19553,19559,19571,19577,19583,19597}
                    n=140 : [19600,19881] --> {19603,19609,19661,19681,19687,19697,19699,19709,19717,19727,19739,19751,19753,19759,19763,19777,19793,19801,19813,19819,19841,19843,19853,19861,19867}
                    n=141 : [19881,20164] --> {19889,19891,19913,19919,19927,19937,19949,19961,19963,19973,19979,19991,19993,19997,20011,20021,20023,20029,20047,20051,20063,20071,20089,20101,20107,20113,20117,20123,20129,20143,20147,20149,20161}
                    n=142 : [20164,20449] --> {20173,20177,20183,20201,20219,20231,20233,20249,20261,20269,20287,20297,20323,20327,20333,20341,20347,20353,20357,20359,20369,20389,20393,20399,20407,20411,20431,20441,20443}
                    n=143 : [20449,20736] --> {20477,20479,20483,20507,20509,20521,20533,20543,20549,20551,20563,20593,20599,20611,20627,20639,20641,20663,20681,20693,20707,20717,20719,20731}
                    n=144 : [20736,21025] --> {20743,20747,20749,20753,20759,20771,20773,20789,20807,20809,20849,20857,20873,20879,20887,20897,20899,20903,20921,20929,20939,20947,20959,20963,20981,20983,21001,21011,21013,21017,21019,21023}
                    n=145 : [21025,21316] --> {21031,21059,21061,21067,21089,21101,21107,21121,21139,21143,21149,21157,21163,21169,21179,21187,21191,21193,21211,21221,21227,21247,21269,21277,21283,21313}
                    n=146 : [21316,21609] --> {21317,21319,21323,21341,21347,21377,21379,21383,21391,21397,21401,21407,21419,21433,21467,21481,21487,21491,21493,21499,21503,21517,21521,21523,21529,21557,21559,21563,21569,21577,21587,21589,21599,21601}
                    n=147 : [21609,21904] --> {21611,21613,21617,21647,21649,21661,21673,21683,21701,21713,21727,21737,21739,21751,21757,21767,21773,21787,21799,21803,21817,21821,21839,21841,21851,21859,21863,21871,21881,21893}
                    n=148 : [21904,22201] --> {21911,21929,21937,21943,21961,21977,21991,21997,22003,22013,22027,22031,22037,22039,22051,22063,22067,22073,22079,22091,22093,22109,22111,22123,22129,22133,22147,22153,22157,22159,22171,22189,22193}
                    n=149 : [22201,22500] --> {22229,22247,22259,22271,22273,22277,22279,22283,22291,22303,22307,22343,22349,22367,22369,22381,22391,22397,22409,22433,22441,22447,22453,22469,22481,22483}
                    n=150 : [22500,22801] --> {22501,22511,22531,22541,22543,22549,22567,22571,22573,22613,22619,22621,22637,22639,22643,22651,22669,22679,22691,22697,22699,22709,22717,22721,22727,22739,22741,22751,22769,22777,22783,22787}
                    n=151 : [22801,23104] --> {22807,22811,22817,22853,22859,22861,22871,22877,22901,22907,22921,22937,22943,22961,22963,22973,22993,23003,23011,23017,23021,23027,23029,23039,23041,23053,23057,23059,23063,23071,23081,23087,23099}
                    n=152 : [23104,23409] --> {23117,23131,23143,23159,23167,23173,23189,23197,23201,23203,23209,23227,23251,23269,23279,23291,23293,23297,23311,23321,23327,23333,23339,23357,23369,23371,23399}
                    n=153 : [23409,23716] --> {23417,23431,23447,23459,23473,23497,23509,23531,23537,23539,23549,23557,23561,23563,23567,23581,23593,23599,23603,23609,23623,23627,23629,23633,23663,23669,23671,23677,23687,23689}
                    n=154 : [23716,24025] --> {23719,23741,23743,23747,23753,23761,23767,23773,23789,23801,23813,23819,23827,23831,23833,23857,23869,23873,23879,23887,23893,23899,23909,23911,23917,23929,23957,23971,23977,23981,23993,24001,24007,24019,24023}
                    n=155 : [24025,24336] --> {24029,24043,24049,24061,24071,24077,24083,24091,24097,24103,24107,24109,24113,24121,24133,24137,24151,24169,24179,24181,24197,24203,24223,24229,24239,24247,24251,24281,24317,24329}
                    n=156 : [24336,24649] --> {24337,24359,24371,24373,24379,24391,24407,24413,24419,24421,24439,24443,24469,24473,24481,24499,24509,24517,24527,24533,24547,24551,24571,24593,24611,24623,24631}
                    n=157 : [24649,24964] --> {24659,24671,24677,24683,24691,24697,24709,24733,24749,24763,24767,24781,24793,24799,24809,24821,24841,24847,24851,24859,24877,24889,24907,24917,24919,24923,24943,24953}
                    n=158 : [24964,25281] --> {24967,24971,24977,24979,24989,25013,25031,25033,25037,25057,25073,25087,25097,25111,25117,25121,25127,25147,25153,25163,25169,25171,25183,25189,25219,25229,25237,25243,25247,25253,25261}
                    n=159 : [25281,25600] --> {25301,25303,25307,25309,25321,25339,25343,25349,25357,25367,25373,25391,25409,25411,25423,25439,25447,25453,25457,25463,25469,25471,25523,25537,25541,25561,25577,25579,25583,25589}
                    n=160 : [25600,25921] --> {25601,25603,25609,25621,25633,25639,25643,25657,25667,25673,25679,25693,25703,25717,25733,25741,25747,25759,25763,25771,25793,25799,25801,25819,25841,25847,25849,25867,25873,25889,25903,25913,25919}
                    n=161 : [25921,26244] --> {25931,25933,25939,25943,25951,25969,25981,25997,25999,26003,26017,26021,26029,26041,26053,26083,26099,26107,26111,26113,26119,26141,26153,26161,26171,26177,26183,26189,26203,26209,26227,26237}
                    n=162 : [26244,26569] --> {26249,26251,26261,26263,26267,26293,26297,26309,26317,26321,26339,26347,26357,26371,26387,26393,26399,26407,26417,26423,26431,26437,26449,26459,26479,26489,26497,26501,26513,26539,26557,26561}
                    n=163 : [26569,26896] --> {26573,26591,26597,26627,26633,26641,26647,26669,26681,26683,26687,26693,26699,26701,26711,26713,26717,26723,26729,26731,26737,26759,26777,26783,26801,26813,26821,26833,26839,26849,26861,26863,26879,26881,26891,26893}
                    n=164 : [26896,27225] --> {26903,26921,26927,26947,26951,26953,26959,26981,26987,26993,27011,27017,27031,27043,27059,27061,27067,27073,27077,27091,27103,27107,27109,27127,27143,27179,27191,27197,27211}
                    n=165 : [27225,27556] --> {27239,27241,27253,27259,27271,27277,27281,27283,27299,27329,27337,27361,27367,27397,27407,27409,27427,27431,27437,27449,27457,27479,27481,27487,27509,27527,27529,27539,27541,27551}
                    n=166 : [27556,27889] --> {27581,27583,27611,27617,27631,27647,27653,27673,27689,27691,27697,27701,27733,27737,27739,27743,27749,27751,27763,27767,27773,27779,27791,27793,27799,27803,27809,27817,27823,27827,27847,27851,27883}
                    n=167 : [27889,28224] --> {27893,27901,27917,27919,27941,27943,27947,27953,27961,27967,27983,27997,28001,28019,28027,28031,28051,28057,28069,28081,28087,28097,28099,28109,28111,28123,28151,28163,28181,28183,28201,28211,28219}
                    n=168 : [28224,28561] --> {28229,28277,28279,28283,28289,28297,28307,28309,28319,28349,28351,28387,28393,28403,28409,28411,28429,28433,28439,28447,28463,28477,28493,28499,28513,28517,28537,28541,28547,28549,28559}
                    n=169 : [28561,28900] --> {28571,28573,28579,28591,28597,28603,28607,28619,28621,28627,28631,28643,28649,28657,28661,28663,28669,28687,28697,28703,28711,28723,28729,28751,28753,28759,28771,28789,28793,28807,28813,28817,28837,28843,28859,28867,28871,28879}
                    n=170 : [28900,29241] --> {28901,28909,28921,28927,28933,28949,28961,28979,29009,29017,29021,29023,29027,29033,29059,29063,29077,29101,29123,29129,29131,29137,29147,29153,29167,29173,29179,29191,29201,29207,29209,29221,29231}
                    n=171 : [29241,29584] --> {29243,29251,29269,29287,29297,29303,29311,29327,29333,29339,29347,29363,29383,29387,29389,29399,29401,29411,29423,29429,29437,29443,29453,29473,29483,29501,29527,29531,29537,29567,29569,29573,29581}
                    n=172 : [29584,29929] --> {29587,29599,29611,29629,29633,29641,29663,29669,29671,29683,29717,29723,29741,29753,29759,29761,29789,29803,29819,29833,29837,29851,29863,29867,29873,29879,29881,29917,29921,29927}
                    n=173 : [29929,30276] --> {29947,29959,29983,29989,30011,30013,30029,30047,30059,30071,30089,30091,30097,30103,30109,30113,30119,30133,30137,30139,30161,30169,30181,30187,30197,30203,30211,30223,30241,30253,30259,30269,30271}
                    n=174 : [30276,30625] --> {30293,30307,30313,30319,30323,30341,30347,30367,30389,30391,30403,30427,30431,30449,30467,30469,30491,30493,30497,30509,30517,30529,30539,30553,30557,30559,30577,30593}
                    n=175 : [30625,30976] --> {30631,30637,30643,30649,30661,30671,30677,30689,30697,30703,30707,30713,30727,30757,30763,30773,30781,30803,30809,30817,30829,30839,30841,30851,30853,30859,30869,30871,30881,30893,30911,30931,30937,30941,30949,30971}
                    n=176 : [30976,31329] --> {30977,30983,31013,31019,31033,31039,31051,31063,31069,31079,31081,31091,31121,31123,31139,31147,31151,31153,31159,31177,31181,31183,31189,31193,31219,31223,31231,31237,31247,31249,31253,31259,31267,31271,31277,31307,31319,31321,31327}
                    n=177 : [31329,31684] --> {31333,31337,31357,31379,31387,31391,31393,31397,31469,31477,31481,31489,31511,31513,31517,31531,31541,31543,31547,31567,31573,31583,31601,31607,31627,31643,31649,31657,31663,31667}
                    n=178 : [31684,32041] --> {31687,31699,31721,31723,31727,31729,31741,31751,31769,31771,31793,31799,31817,31847,31849,31859,31873,31883,31891,31907,31957,31963,31973,31981,31991,32003,32009,32027,32029}
                    n=179 : [32041,32400] --> {32051,32057,32059,32063,32069,32077,32083,32089,32099,32117,32119,32141,32143,32159,32173,32183,32189,32191,32203,32213,32233,32237,32251,32257,32261,32297,32299,32303,32309,32321,32323,32327,32341,32353,32359,32363,32369,32371,32377,32381}
                    n=180 : [32400,32761] --> {32401,32411,32413,32423,32429,32441,32443,32467,32479,32491,32497,32503,32507,32531,32533,32537,32561,32563,32569,32573,32579,32587,32603,32609,32611,32621,32633,32647,32653,32687,32693,32707,32713,32717,32719,32749}
                    n=181 : [32761,33124] --> {32771,32779,32783,32789,32797,32801,32803,32831,32833,32839,32843,32869,32887,32909,32911,32917,32933,32939,32941,32957,32969,32971,32983,32987,32993,32999,33013,33023,33029,33037,33049,33053,33071,33073,33083,33091,33107,33113,33119}
                    n=182 : [33124,33489] --> {33149,33151,33161,33179,33181,33191,33199,33203,33211,33223,33247,33287,33289,33301,33311,33317,33329,33331,33343,33347,33349,33353,33359,33377,33391,33403,33409,33413,33427,33457,33461,33469,33479,33487}
                    n=183 : [33489,33856] --> {33493,33503,33521,33529,33533,33547,33563,33569,33577,33581,33587,33589,33599,33601,33613,33617,33619,33623,33629,33637,33641,33647,33679,33703,33713,33721,33739,33749,33751,33757,33767,33769,33773,33791,33797,33809,33811,33827,33829,33851}
                    n=184 : [33856,34225] --> {33857,33863,33871,33889,33893,33911,33923,33931,33937,33941,33961,33967,33997,34019,34031,34033,34039,34057,34061,34123,34127,34129,34141,34147,34157,34159,34171,34183,34211,34213,34217}
                    n=185 : [34225,34596] --> {34231,34253,34259,34261,34267,34273,34283,34297,34301,34303,34313,34319,34327,34337,34351,34361,34367,34369,34381,34403,34421,34429,34439,34457,34469,34471,34483,34487,34499,34501,34511,34513,34519,34537,34543,34549,34583,34589,34591}
                    n=186 : [34596,34969] --> {34603,34607,34613,34631,34649,34651,34667,34673,34679,34687,34693,34703,34721,34729,34739,34747,34757,34759,34763,34781,34807,34819,34841,34843,34847,34849,34871,34877,34883,34897,34913,34919,34939,34949,34961,34963}
                    n=187 : [34969,35344] --> {34981,35023,35027,35051,35053,35059,35069,35081,35083,35089,35099,35107,35111,35117,35129,35141,35149,35153,35159,35171,35201,35221,35227,35251,35257,35267,35279,35281,35291,35311,35317,35323,35327,35339}
                    n=188 : [35344,35721] --> {35353,35363,35381,35393,35401,35407,35419,35423,35437,35447,35449,35461,35491,35507,35509,35521,35527,35531,35533,35537,35543,35569,35573,35591,35593,35597,35603,35617,35671,35677}
                    n=189 : [35721,36100] --> {35729,35731,35747,35753,35759,35771,35797,35801,35803,35809,35831,35837,35839,35851,35863,35869,35879,35897,35899,35911,35923,35933,35951,35963,35969,35977,35983,35993,35999,36007,36011,36013,36017,36037,36061,36067,36073,36083,36097}
                    n=190 : [36100,36481] --> {36107,36109,36131,36137,36151,36161,36187,36191,36209,36217,36229,36241,36251,36263,36269,36277,36293,36299,36307,36313,36319,36341,36343,36353,36373,36383,36389,36433,36451,36457,36467,36469,36473,36479}
                    n=191 : [36481,36864] --> {36493,36497,36523,36527,36529,36541,36551,36559,36563,36571,36583,36587,36599,36607,36629,36637,36643,36653,36671,36677,36683,36691,36697,36709,36713,36721,36739,36749,36761,36767,36779,36781,36787,36791,36793,36809,36821,36833,36847,36857}
                    n=192 : [36864,37249] --> {36871,36877,36887,36899,36901,36913,36919,36923,36929,36931,36943,36947,36973,36979,36997,37003,37013,37019,37021,37039,37049,37057,37061,37087,37097,37117,37123,37139,37159,37171,37181,37189,37199,37201,37217,37223,37243}
                    n=193 : [37249,37636] --> {37253,37273,37277,37307,37309,37313,37321,37337,37339,37357,37361,37363,37369,37379,37397,37409,37423,37441,37447,37463,37483,37489,37493,37501,37507,37511,37517,37529,37537,37547,37549,37561,37567,37571,37573,37579,37589,37591,37607,37619,37633}
                    n=194 : [37636,38025] --> {37643,37649,37657,37663,37691,37693,37699,37717,37747,37781,37783,37799,37811,37813,37831,37847,37853,37861,37871,37879,37889,37897,37907,37951,37957,37963,37967,37987,37991,37993,37997,38011}
                    n=195 : [38025,38416] --> {38039,38047,38053,38069,38083,38113,38119,38149,38153,38167,38177,38183,38189,38197,38201,38219,38231,38237,38239,38261,38273,38281,38287,38299,38303,38317,38321,38327,38329,38333,38351,38371,38377,38393}
                    n=196 : [38416,38809] --> {38431,38447,38449,38453,38459,38461,38501,38543,38557,38561,38567,38569,38593,38603,38609,38611,38629,38639,38651,38653,38669,38671,38677,38693,38699,38707,38711,38713,38723,38729,38737,38747,38749,38767,38783,38791,38803}
                    n=197 : [38809,39204] --> {38821,38833,38839,38851,38861,38867,38873,38891,38903,38917,38921,38923,38933,38953,38959,38971,38977,38993,39019,39023,39041,39043,39047,39079,39089,39097,39103,39107,39113,39119,39133,39139,39157,39161,39163,39181,39191,39199}
                    n=198 : [39204,39601] --> {39209,39217,39227,39229,39233,39239,39241,39251,39293,39301,39313,39317,39323,39341,39343,39359,39367,39371,39373,39383,39397,39409,39419,39439,39443,39451,39461,39499,39503,39509,39511,39521,39541,39551,39563,39569,39581}
                    n=199 : [39601,40000] --> {39607,39619,39623,39631,39659,39667,39671,39679,39703,39709,39719,39727,39733,39749,39761,39769,39779,39791,39799,39821,39827,39829,39839,39841,39847,39857,39863,39869,39877,39883,39887,39901,39929,39937,39953,39971,39979,39983,39989}
                    n=200 : [40000,40401] --> {40009,40013,40031,40037,40039,40063,40087,40093,40099,40111,40123,40127,40129,40151,40153,40163,40169,40177,40189,40193,40213,40231,40237,40241,40253,40277,40283,40289,40343,40351,40357,40361,40387}
                    (...)



(CMAP28 WWW site: this page was created on 02/17/2025 and last updated on 02/18/2025 13:49:01 -CET-)



[See the generator of this picture [Voir le générateur de cette image]]

[See all related pictures (including this one) [Voir toutes les images associées (incluant celle-ci)]]


[Go back to AVirtualMachineForExploringSpaceTimeAndBeyond [Retour à AVirtualMachineForExploringSpaceTimeAndBeyond]]

[The Y2K Bug [Le bug de l'an 2000]]

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[Mail [Courrier]]
[About Pictures and Animations [A Propos des Images et des Animations]]


Copyright © Jean-François COLONNA, 2025-2025.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2025-2025.