Dozenal Wiki
Advertisement
prime p numbers n such that n and n+1 are both p-smooth but not both prevprime(p)-smooth
2 1
3 2, 3, 8
5 4, 5, 9, 13, 20, 68
7 6, 7, 12, 18, 23, 2E, 40, 41, 53, X5, 168, 1480, 2646
E X, E, 19, 28, 38, 46, 47, 82, 83, X0, 127, 182, 280, 308, 38E, 1900, 5808
11 10, 11, 21, 22, 33, 54, 55, 65, 76, 88, EE, 120, 143, 230, 252, 253, 263, 440, 483, 508, 6E4, EXE, 1253, 2453, 2540, 3X27, 61E3, 5E368
15 14, 15, 29, 2X, 42, 43, 70, 9E, E3, 109, 121, 164, 193, 1X8, 200, 272, 309, 3X8, 416, 4E6, 594, 65E, 768, 803, 860, 8X2, E98, 1235, 14X6, 1543, 1608, 2X15, 345E, 71E3, 83EE, 14640, 16090, 19623, 94668, 142638
17 16, 17, 32, 48, 63, 64, 7E, E0, 108, 122, 139, 154, 155, 1E9, 22E, 246, 260, 293, 31E, 337, 352, 368, 688, 853, 92X, X04, X68, X83, 1000, 145E, 14X7, 1839, 1993, 1X69, 251E, 3413, 3520, 3568, 36X6, 3E77, 5E14, 6325, 738E, 78X8, 8193, 8390, 11668, 13X7E, 14883, 21340, 4387E, 508EE, 7E853, XEEEE, 250069, 266783, 2X27EE, 1E90000, 3E7XE76
1E 1X, 1E, 39, 58, 59, 77, 96, 114, 115, 153, 172, 190, 1XE, 20E, 22X, 286, 287, 323, 343, 362, 380, 3EE, 513, 533, 60X, 628, 780, 838, 8E3, X47, 10E2, 1207, 1208, 1320, 13E7, 1645, 1700, 192E, 1E58, 2053, 22EE, 2870, 2908, 2E36, 4675, 4960, 4EX8, 6195, 6632, 68E9, 705E, 9968, E392, 10540, 106E3, 11577, 12594, 13000, 21053, 26345, 35716, 37598, 38368, 50460, 5XX43, 61068, 74580, 98E78, 109000, 117680, 13X139, 816E68, 1456853, 187EE98

For all primes p, such numbers n are conjectured to be finite.

Advertisement