LimeCurrency.com

First 100,000 Mathematically Lucky Numbers

What are lucky numbers? They are the numbers that survive when you cancel out numbers at every nth position, where n is defined as the first survivor of the previous round. Each round spares all the numbers that fall to the left of the 1st nth position. Start with positive integers and delete every 2nd number. Then delete every 3rd. Then Every 7th, and so on. If you repeat this pattern until you have 100,000 surviving numbers, you will have the sequence below. The numbers 777 and 777777 are both in the list of lucky numbers here.

1,3,7,9,13,15,21,25,31,33,37,43,49,51,63,67,69,73,75,79,87,93,99,105,111,115,127,129,133,135,141,151,159,163,169,171,189,193,195,201,205,211,219,223,231,235,237,241,259,261,267,273,283,285,289,297,303,307,319,321,327,331,339,349,357,361,367,385,391,393,399,409,415,421,427,429,433,451,463,475,477,483,487,489,495,511,517,519,529,535,537,541,553,559,577,579,583,591,601,613,615,619,621,631,639,643,645,651,655,673,679,685,693,699,717,723,727,729,735,739,741,745,769,777,781,787,801,805,819,823,831,841,855,867,873,883,885,895,897,903,925,927,931,933,937,957,961,975,979,981,991,993,997,1009,1011,1021,1023,1029,1039,1041,1053,1057,1087,1093,1095,1101,1105,1107,1117,1123,1147,1155,1167,1179,1183,1189,1197,1201,1203,1209,1219,1231,1233,1245,1249,1251,1261,1263,1275,1281,1285,1291,1303,1309,1323,1329,1339,1357,1365,1369,1387,1389,1395,1401,1417,1419,1435,1441,1455,1459,1471,1473,1485,1491,1495,1497,1501,1503,1519,1533,1543,1545,1563,1567,1575,1579,1585,1587,1597,1599,1611,1639,1641,1645,1659,1663,1675,1693,1701,1705,1711,1723,1731,1737,1749,1765,1767,1771,1773,1777,1797,1801,1809,1819,1827,1831,1833,1839,1857,1869,1879,1893,1899,1915,1921,1923,1933,1941,1945,1959,1963,1965,1977,1983,1987,1995,2001,2019,2023,2031,2053,2059,2065,2067,2079,2083,2085,2095,2113,2115,2121,2125,2127,2133,2163,2173,2187,2209,2211,2215,2217,2221,2239,2251,2253,2257,2271,2277,2281,2283,2301,2311,2317,2323,2335,2343,2355,2365,2379,2395,2403,2407,2409,2415,2419,2427,2439,2445,2461,2467,2473,2479,2491,2493,2505,2511,2523,2527,2545,2557,2563,2571,2575,2587,2589,2593,2599,2607,2625,2635,2647,2649,2653,2661,2667,2671,2689,2697,2715,2725,2755,2763,2773,2781,2785,2787,2797,2815,2817,2821,2823,2827,2835,2841,2845,2851,2877,2887,2899,2901,2905,2913,2923,2943,2953,2961,2971,2973,2977,2983,3003,3007,3027,3031,3037,3039,3049,3055,3073,3075,3091,3097,3099,3109,3111,3121,3123,3133,3153,3163,3171,3175,3183,3187,3199,3213,3223,3229,3235,3243,3259,3261,3289,3297,3301,3307,3313,3325,3339,3351,3355,3363,3381,3403,3405,3409,3411,3427,3433,3439,3451,3453,3465,3477,3481,3487,3489,3495,3499,3507,3559,3565,3571,3579,3595,3597,3603,3607,3613,3621,3625,3633,3655,3661,3663,3669,3675,3685,3687,3697,3709,3717,3721,3727,3747,3753,3763,3771,3781,3789,3793,3795,3811,3843,3847,3849,3865,3873,3879,3889,3891,3897,3909,3915,3931,3943,3951,3955,3969,3975,3981,3991,3999,4003,4015,4023,4033,4035,4041,4045,4063,4069,4081,4095,4105,4107,4129,4131,4161,4165,4173,4179,4189,4195,4201,4203,4207,4227,4237,4251,4255,4257,4263,4269,4285,4287,4315,4321,4329,4335,4363,4377,4383,4389,4399,4413,4431,4441,4443,4455,4461,4465,4483,4485,4495,4509,4519,4521,4539,4551,4561,4567,4569,4573,4587,4609,4611,4621,4623,4629,4645,4647,4653,4663,4671,4675,4695,4699,4713,4717,4725,4741,4761,4767,4773,4797,4801,4809,4813,4819,4833,4837,4839,4843,4851,4863,4867,4881,4887,4893,4929,4951,4963,4965,4969,4977,4987,4989,4993,4999,5001,5007,5019,5029,5041,5043,5049,5053,5089,5103,5127,5137,5139,5149,5151,5157,5169,5179,5181,5191,5211,5217,5229,5233,5235,5253,5259,5277,5283,5293,5295,5299,5325,5335,5341,5343,5371,5377,5379,5385,5409,5419,5427,5433,5449,5455,5463,5473,5487,5491,5503,5515,5527,5547,5551,5559,5569,5577,5587,5589,5593,5599,5613,5617,5637,5641,5649,5655,5661,5671,5673,5679,5691,5701,5707,5713,5719,5737,5755,5763,5767,5769,5803,5809,5817,5827,5833,5839,5851,5869,5883,5889,5893,5901,5905,5911,5913,5923,5959,5965,5967,5971,5973,5977,5991,5997,6009,6019,6031,6049,6055,6061,6079,6093,6111,6115,6123,6141,6147,6159,6163,6175,6177,6195,6211,6229,6237,6243,6249,6253,6271,6273,6279,6301,6309,6331,6345,6351,6355,6363,6367,6369,6373,6379,6385,6399,6411,6415,6427,6433,6435,6447,6463,6471,6475,6477,6501,6505,6523,6531,6535,6541,6553,6559,6567,6573,6601,6621,6625,6631,6661,6663,6667,6669,6679,6687,6693,6715,6723,6733,6741,6745,6747,6753,6757,6763,6765,6783,6787,6789,6841,6849,6867,6871,6883,6891,6909,6915,6921,6931,6933,6937,6951,6981,6985,6999,7003,7009,7035,7041,7045,7047,7069,7077,7081,7087,7101,7111,7129,7135,7153,7167,7171,7173,7183,7191,7195,7197,7207,7215,7231,7233,7237,7245,7249,7279,7293,7299,7311,7321,7333,7339,7341,7345,7357,7359,7371,7377,7395,7401,7405,7419,7435,7437,7443,7447,7459,7471,7489,7501,7503,7507,7531,7533,7549,7551,7563,7567,7575,7585,7591,7593,7603,7609,7629,7633,7639,7645,7677,7687,7689,7701,7711,7717,7737,7755,7779,7791,7795,7801,7803,7813,7827,7833,7837,7855,7881,7885,7897,7899,7909,7917,7921,7929,7939,7947,7951,7963,7969,7971,8001,8005,8007,8013,8037,8047,8071,8073,8085,8089,8107,8109,8127,8131,8139,8151,8161,8169,8173,8175,8191,8193,8221,8223,8227,8233,8253,8257,8263,8269,8283,8289,8299,8325,8331,8347,8359,8365,8367,8379,8409,8413,8421,8445,8449,8467,8473,8475,8479,8487,8493,8515,8535,8539,8551,8553,8575,8577,8583,8589,8601,8605,8611,8617,8635,8637,8641,8647,8655,8661,8673,8683,8719,8757,8769,8773,8787,8793,8805,8809,8827,8829,8833,8835,8841,8869,8871,8895,8913,8931,8937,8947,8955,8961,8977,8979,8989,8995,8997,9009,9031,9033,9061,9063,9073,9075,9081,9085,9115,9117,9121,9123,9135,9139,9145,9151,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