Número de Knödel
Dado un número natural n, un número de Knödel es un número compuesto m con la propiedad de que cada i < m coprimo con m satisface .
El conjunto de todos los números naturales dado n se denomina el conjunto de los números de Knödel Kn. Nótese que K1 son los números de Carmichael.
Ejemplos
Estos son los primeros números de Knödel Kn para 0 < n < 26.:[1]
n
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Kn
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OEIS
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1 |
561, 1105, 1729, 2465, 2821, 6601, 8911, 10585, 15841, 29341, 41041, 46657, 52633, 62745, 63973, 75361, 101101, 115921, 126217, 162401 |
A002997
|
2 |
4, 6, 8, 10, 12, 14, 22, 24, 26, 30, 34, 38, 46, 56, 58, 62, 74, 82, 86, 94 |
A050990
|
3 |
9, 15, 21, 33, 39, 51, 57, 63, 69, 87, 93 |
A033553
|
4 |
6, 8, 12, 16, 20, 24, 28, 40, 44, 48, 52, 60, 68, 76, 80, 92 |
A050992
|
5 |
25, 65, 85, 145, 165, 185, 205, 265, 305, 365, 445, 485, 505, 545, 565, 685, 745, 785, 825, 865, 905, 965, 985 |
A050993
|
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 |
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Referencias
En inglés:
Enlaces externos
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