# table of small Knödel numbers $K_{n}$ for $0

The following table lists small Knödel numbers $K_{n}$ for $0. I’ve been deliberately arbitrary about what is small: for some $n$, especially even $n$, there are plenty of Knödel numbers to choose from so I only go up to 100; while for some odd bases there are so few I go up to 1000. And of course for $n=1$, the $K_{n}$ are the Carmichael numbers, of which there is only one less than a thousand: 561.

$n$ $m\in K_{n}$
1 561, 1105, 1729, 2465, 2821, 6601, 8911
2 4, 6, 8, 10, 12, 14, 22, 24, 26, 30, 34, 38, 46, 56, 58, 62, 74, 82, 86, 94
3 9, 15, 21, 33, 39, 51, 57, 63, 69, 87, 93
4 6, 8, 12, 16, 20, 24, 28, 40, 44, 48, 52, 60, 68, 76, 80, 92
5 25, 65, 85, 145, 165, 185, 205, 265, 305, 365, 445, 485, 505, 545, 565, 685, 745, 785, 825, 865, 905, 965, 985
6 8, 10, 12, 18, 24, 30, 36, 42, 66, 72, 78, 84, 90
7 9, 15, 49, 91, 133, 217, 259, 301, 427, 469, 511, 553, 679, 721, 763, 889, 973
8 10, 12, 14, 16, 20, 24, 32, 40, 48, 56, 60, 80, 88, 96
9 21, 27, 45, 63, 99, 105, 117, 153, 171, 189, 207, 261, 273, 279, 333, 369, 387, 423, 429, 477, 513, 531, 549, 585, 603, 639, 657, 711, 747, 801, 873, 909, 927, 945, 963, 981
10 12, 24, 28, 30, 50, 70, 110, 130, 150, 170, 190, 230, 290, 310, 330, 370, 410, 430, 442, 470, 530, 532, 550, 590, 610, 670, 710, 730, 790, 830, 890, 910, 970
11 15, 35, 121, 341, 451, 455, 671, 781
12 14, 16, 18, 20, 22, 24, 36, 40, 42, 48, 60, 72, 80, 84
13 14, 15, 33, 169, 481, 793, 805, 949
14 15, 16, 18, 24, 26, 30, 44, 56, 98, 182, 264, 266, 392, 434, 510, 518, 602, 854, 938
15 16, 21, 39, 55, 63, 75, 195, 255, 275, 315, 435, 495, 555, 615, 795, 819, 915, 975
16 18, 20, 24, 28, 32, 40, 48, 52, 60, 64, 66, 80, 96
17 65, 77, 289, 665, 1649, 1921
18 20, 24, 30, 34, 36, 42, 54, 72, 78, 84, 88, 90
19 21, 51, 91, 361, 595, 703, 1387, 1955
20 22, 24, 38, 40, 48, 56, 60, 68, 80, 100
21 45, 57, 63, 85, 105, 117, 147, 231, 273, 357, 399, 441, 483, 585, 609, 651, 741, 777, 861, 903, 987
22 24, 28, 30, 70, 76, 102, 130, 132, 242, 682, 902, 910
23 25, 33, 35, 95, 119, 143, 455, 529
24 26, 30, 32, 36, 40, 42, 44, 46, 48, 60, 72, 80, 84, 96
25 27, 69, 125, 133, 165, 325, 385, 425, 725, 825, 925
Title table of small Knödel numbers $K_{n}$ for $0 TableOfSmallKnodelNumbersKnFor0N26 2013-03-22 17:17:25 2013-03-22 17:17:25 PrimeFan (13766) PrimeFan (13766) 5 PrimeFan (13766) Example msc 11A51