table of small Knödel numbers Kn for 0<n<26


The following table lists small Knödel numbers Kn for 0<n<26. 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 Kn are the Carmichael numbersMathworldPlanetmath, of which there is only one less than a thousand: 561.

n mKn
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 Kn for 0<n<26
Canonical name TableOfSmallKnodelNumbersKnFor0N26
Date of creation 2013-03-22 17:17:25
Last modified on 2013-03-22 17:17:25
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 5
Author PrimeFan (13766)
Entry type Example
Classification msc 11A51