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 2017-01-20, 09:43 #2 sweety439   Nov 2016 276410 Posts S = conjectured smallest base b such that k is a Sierpinski number. k S cover set 1 none 2 201446503145165177 (?) {3, 5, 17, 257, 641, 65537, 6700417} period=64 3 none 4 14 {3, 5} period=2 5 140324348 {3, 13, 17, 313, 11489} period=16 6 34 {5, 7} period=2 7 none 8 20 {3, 7} period=2 9 177744 {5, 17, 41, 193} period=8 10 32 {3, 11} period=2 11 14 {3, 5} period=2 12 142 {11, 13} period=2 13 20 {3, 7} period=2 14 38 {3, 13} period=2 15 none 16 38 {3, 5, 17} period=4 17 278 {3, 5, 29} period=4 18 322 {17, 19} period=2 19 14 {3, 5} period=2 20 56 {3, 19} period=2 21 54 {5, 11} period=2 22 68 {3, 23} period=2 23 32 {3, 11} period=2 24 114 {5, 23} period=2 25 38 {3, 13} period=2 26 14 {3, 5} period=2 27 90 {7, 13} period=2 28 86 {3, 29} period=2 29 20 {3, 7} period=2 30 898 {29, 31} period=2 31 none 32 92 {3, 31} period=2 33 5592 {5, 17, 109} period=4 34 14 {3, 5} period=2 35 50 {3, 17} period=2 36 68 {5, 7, 13, 31, 37} period=12 37 56 {3, 19} period=2 38 98 {3, 5, 17} period=4 39 94 {5, 19} period=2 40 122 {3, 41} period=2 41 14 {3, 5} period=2 42 1762 {41, 43} period=2 43 32 {3, 11} period=2 44 128 {3, 43} period=2 45 252 {11, 23} period=2 46 140 {3, 47} period=2 47 8 {3, 5, 13} period=4 48 328 {7, 47} period=2 49 14 {3, 5} period=2 50 20 {3, 7} period=2 51 64 {5, 13} period=2 52 158 {3, 53} period=2 53 38 {3, 13} period=2 54 264 {5, 53} period=2 55 20 {3, 7} period=2 56 14 {3, 5} period=2 57 202 {7, 29} period=2 58 176 {3, 59} period=2 59 144 {5, 29} period=2 60 3598 {59, 61} period=2 61 92 {3, 31} period=2 62 182 {3, 61} period=2 63 none 64 29 {3, 5} period=2 R = conjectured smallest base b such that k is a Riesel number. k R cover set 1 none 2 none 3 none 4 14 {3, 5} period=2 5 none 6 34 {5, 7} period=2 7 9162668342 {3, 5, 17, 1201, 169553} period=16 8 20 {3, 7} period=2 9 none 10 32 {3, 11} period=2 11 14 {3, 5} period=2 12 142 {11, 13} period=2 13 20 {3, 7} period=2 14 8 {3, 5, 13} period=4 15 8241218 {7, 17, 113, 1489} period=8 16 50 {3, 17} period=2 17 none 18 203 {5, 13, 17} period=4 19 14 {3, 5} period=2 20 56 {3, 19} period=2 21 54 {5, 11} period=2 22 68 {3, 23} period=2 23 32 {3, 11} period=2 24 114 {5, 23} period=2 25 38 {3, 13} period=2 26 14 {3, 5} period=2 27 90 {7, 13} period=2 28 86 {3, 29} period=2 29 20 {3, 7} period=2 30 898 {29, 31} period=2 31 362 {3, 7, 13, 37, 331} period=12 32 92 {3, 31} period=2 33 none 34 14 {3, 5} period=2 35 50 {3, 17} period=2 36 184 {5, 37} period=2 37 56 {3, 19} period=2 38 110 {3, 37} period=2 39 94 {5, 19} period=2 40 122 {3, 41} period=2 41 14 {3, 5} period=2 42 1762 {41, 43} period=2 43 32 {3, 11} period=2 44 128 {3, 43} period=2 45 252 {11, 23} period=2 46 140 {3, 47} period=2 47 68 {3, 23} period=2 48 328 {7, 47} period=2 49 14 {3, 5} period=2 50 20 {3, 7} period=2 51 64 {5, 13} period=2 52 158 {3, 53} period=2 53 38 {3, 13} period=2 54 264 {5, 53} period=2 55 20 {3, 7} period=2 56 14 {3, 5} period=2 57 202 {7, 29} period=2 58 176 {3, 59} period=2 59 86 {3, 29} period=2 60 3598 {59, 61} period=2 61 68 {3, 7, 13, 31} period=6 62 182 {3, 61} period=2 63 36858 {5, 31, 397} period=4 64 14 {3, 5} period=2 Last fiddled with by sweety439 on 2017-01-20 at 12:52