The following table lists small Knödel numbers for . I've been deliberately arbitrary about what is small: for some , especially even , 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 , the are the Carmichael numbers, of which there is only one less than a thousand: 561.

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