Knödlovo število je v teoriji števil za dano naravno število n sestavljeno število m z lastnostjo, da za vsak i < m, ki je m tuj, velja:
Množica takšnih celih števil za n se potem imenuje množica Knödlovih števil Kn. Števila se imenujejo po avstrijskem matematiku in računalnikarju Walterju Knödlu.
K1 so Carmichaelova števila.
Razpredelnica podaja prve elemente množic Kn za 0 < n < 26.Table of small Knödel numbers
n Kn OEIS 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
A. Makowski je v letih 1962/63 dokazal, da obstaja neskončno mnogo elementov množic Kn za .
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