Formelsammlung Mathematik: Tabellen: Zahlentheorie

Formelsammlung Mathematik

PrimzahlenBearbeiten

  1 2 3 4 5 6 7 8 9 10
00 2 3 5 7 11 13 17 19 23 29
10 31 37 41 43 47 53 59 61 67 71
20 73 79 83 89 97 101 103 107 109 113
30 127 131 137 139 149 151 157 163 167 173
40 179 181 191 193 197 199 211 223 227 229
50 233 239 241 251 257 263 269 271 277 281
60 283 293 307 311 313 317 331 337 347 349
70 353 359 367 373 379 383 389 397 401 409
80 419 421 431 433 439 443 449 457 461 463
90 467 479 487 491 499 503 509 521 523 541
100 547 557 563 569 571 577 587 593 599 601
110 607 613 617 619 631 641 643 647 653 659
120 661 673 677 683 691 701 709 719 727 733
130 739 743 751 757 761 769 773 787 797 809
140 811 821 823 827 829 839 853 857 859 863
150 877 881 883 887 907 911 919 929 937 941
160 947 953 967 971 977 983 991 997 1009 1013
170 1019 1021 1031 1033 1039 1049 1051 1061 1063 1069
180 1087 1091 1093 1097 1103 1109 1117 1123 1129 1151
190 1153 1163 1171 1181 1187 1193 1201 1213 1217 1223
200 1229 1231 1237 1249 1259 1277 1279 1283 1289 1291
210 1297 1301 1303 1307 1319 1321 1327 1361 1367 1373
220 1381 1399 1409 1423 1427 1429 1433 1439 1447 1451
230 1453 1459 1471 1481 1483 1487 1489 1493 1499 1511
240 1523 1531 1543 1549 1553 1559 1567 1571 1579 1583
250 1597 1601 1607 1609 1613 1619 1621 1627 1637 1657
260 1663 1667 1669 1693 1697 1699 1709 1721 1723 1733
270 1741 1747 1753 1759 1777 1783 1787 1789 1801 1811
280 1823 1831 1847 1861 1867 1871 1873 1877 1879 1889
290 1901 1907 1913 1931 1933 1949 1951 1973 1979 1987
300 1993 1997 1999 2003 2011 2017 2027 2029 2039 2053
310 2063 2069 2081 2083 2087 2089 2099 2111 2113 2129
320 2131 2137 2141 2143 2153 2161 2179 2203 2207 2213
330 2221 2237 2239 2243 2251 2267 2269 2273 2281 2287
340 2293 2297 2309 2311 2333 2339 2341 2347 2351 2357
350 2371 2377 2381 2383 2389 2393 2399 2411 2417 2423
360 2437 2441 2447 2459 2467 2473 2477 2503 2521 2531
370 2539 2543 2549 2551 2557 2579 2591 2593 2609 2617
380 2621 2633 2647 2657 2659 2663 2671 2677 2683 2687
390 2689 2693 2699 2707 2711 2713 2719 2729 2731 2741
400 2749 2753 2767 2777 2789 2791 2797 2801 2803 2819
410 2833 2837 2843 2851 2857 2861 2879 2887 2897 2903
420 2909 2917 2927 2939 2953 2957 2963 2969 2971 2999
430 3001 3011 3019 3023 3037 3041 3049 3061 3067 3079
440 3083 3089 3109 3119 3121 3137 3163 3167 3169 3181
450 3187 3191 3203 3209 3217 3221 3229 3251 3253 3257
460 3259 3271 3299 3301 3307 3313 3319 3323 3329 3331
470 3343 3347 3359 3361 3371 3373 3389 3391 3407 3413
480 3433 3449 3457 3461 3463 3467 3469 3491 3499 3511
490 3517 3527 3529 3533 3539 3541 3547 3557 3559 3571
500 3581 3583 3593 3607 3613 3617 3623 3631 3637 3643
510 3659 3671 3673 3677 3691 3697 3701 3709 3719 3727
520 3733 3739 3761 3767 3769 3779 3793 3797 3803 3821
530 3823 3833 3847 3851 3853 3863 3877 3881 3889 3907
540 3911 3917 3919 3923 3929 3931 3943 3947 3967 3989
550 4001 4003 4007 4013 4019 4021 4027 4049 4051 4057
560 4073 4079 4091 4093 4099 4111 4127 4129 4133 4139
570 4153 4157 4159 4177 4201 4211 4217 4219 4229 4231
580 4241 4243 4253 4259 4261 4271 4273 4283 4289 4297
590 4327 4337 4339 4349 4357 4363 4373 4391 4397 4409
600 4421 4423 4441 4447 4451 4457 4463 4481 4483 4493
610 4507 4513 4517 4519 4523 4547 4549 4561 4567 4583
620 4591 4597 4603 4621 4637 4639 4643 4649 4651 4657
630 4663 4673 4679 4691 4703 4721 4723 4729 4733 4751
640 4759 4783 4787 4789 4793 4799 4801 4813 4817 4831
650 4861 4871 4877 4889 4903 4909 4919 4931 4933 4937
660 4943 4951 4957 4967 4969 4973 4987 4993 4999 5003
670 5009 5011 5021 5023 5039 5051 5059 5077 5081 5087
680 5099 5101 5107 5113 5119 5147 5153 5167 5171 5179
690 5189 5197 5209 5227 5231 5233 5237 5261 5273 5279
700 5281 5297 5303 5309 5323 5333 5347 5351 5381 5387
710 5393 5399 5407 5413 5417 5419 5431 5437 5441 5443
720 5449 5471 5477 5479 5483 5501 5503 5507 5519 5521
730 5527 5531 5557 5563 5569 5573 5581 5591 5623 5639
740 5641 5647 5651 5653 5657 5659 5669 5683 5689 5693
750 5701 5711 5717 5737 5741 5743 5749 5779 5783 5791
760 5801 5807 5813 5821 5827 5839 5843 5849 5851 5857
770 5861 5867 5869 5879 5881 5897 5903 5923 5927 5939
780 5953 5981 5987 6007 6011 6029 6037 6043 6047 6053
790 6067 6073 6079 6089 6091 6101 6113 6121 6131 6133
800 6143 6151 6163 6173 6197 6199 6203 6211 6217 6221
810 6229 6247 6257 6263 6269 6271 6277 6287 6299 6301
820 6311 6317 6323 6329 6337 6343 6353 6359 6361 6367
830 6373 6379 6389 6397 6421 6427 6449 6451 6469 6473
840 6481 6491 6521 6529 6547 6551 6553 6563 6569 6571
850 6577 6581 6599 6607 6619 6637 6653 6659 6661 6673
860 6679 6689 6691 6701 6703 6709 6719 6733 6737 6761
870 6763 6779 6781 6791 6793 6803 6823 6827 6829 6833
880 6841 6857 6863 6869 6871 6883 6899 6907 6911 6917
890 6947 6949 6959 6961 6967 6971 6977 6983 6991 6997
900 7001 7013 7019 7027 7039 7043 7057 7069 7079 7103
910 7109 7121 7127 7129 7151 7159 7177 7187 7193 7207
920 7211 7213 7219 7229 7237 7243 7247 7253 7283 7297
930 7307 7309 7321 7331 7333 7349 7351 7369 7393 7411
940 7417 7433 7451 7457 7459 7477 7481 7487 7489 7499
950 7507 7517 7523 7529 7537 7541 7547 7549 7559 7561
960 7573 7577 7583 7589 7591 7603 7607 7621 7639 7643
970 7649 7669 7673 7681 7687 7691 7699 7703 7717 7723
980 7727 7741 7753 7757 7759 7789 7793 7817 7823 7829
990 7841 7853 7867 7873 7877 7879 7883 7901 7907 7919

Fermatsche PseudoprimzahlenBearbeiten

Basis Fermatsche Pseudoprimzahlen
1 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, …
2 341, 561, 645, 1105, 1387, 1729, 1905, 2047, 2465, 2701, 2821, 3277, 4033, 4369, 4371, 4681, 5461, 6601, 7957, 8321, 8481, 8911, 10261, 10585, 11305, 12801, 13741, 13747, 13981, 14491, 15709, 15841, 16705, 18705, 18721, 19951, 23001, 23377, 25761, 29341, …
3 91, 121, 286, 671, 703, 949, 1105, 1541, 1729, 1891, 2465, 2665, 2701, 2821, 3281, 3367, 3751, 4961, 5551, 6601, 7381, 8401, 8911, 10585, 11011, 12403, 14383, 15203, 15457, 15841, 16471, 16531, 18721, 19345, 23521, 24046, 24661, 24727, 28009, 29161, …
4 15, 85, 91, 341, 435, 451, 561, 645, 703, 1105, 1247, 1271, 1387, 1581, 1695, 1729, 1891, 1905, 2047, 2071, 2465, 2701, 2821, 3133, 3277, 3367, 3683, 4033, 4369, 4371, 4681, 4795, 4859, 5461, 5551, 6601, 6643, 7957, 8321, 8481, …
5 4, 124, 217, 561, 781, 1541, 1729, 1891, 2821, 4123, 5461, 5611, 5662, 5731, 6601, 7449, 7813, 8029, 8911, 9881, 11041, 11476, 12801, 13021, 13333, 13981, 14981, 15751, 15841, 16297, 17767, 21361, 22791, 23653, 24211, 25327, 25351, 29341, 29539, 30673, …
6 35, 185, 217, 301, 481, 1105, 1111, 1261, 1333, 1729, 2465, 2701, 2821, 3421, 3565, 3589, 3913, 4123, 4495, 5713, 6533, 6601, 8029, 8365, 8911, 9331, 9881, 10585, 10621, 11041, 11137, 12209, 14315, 14701, 15841, 16589, 17329, 18361, 18721, 20017, …
7 6, 25, 325, 561, 703, 817, 1105, 1825, 2101, 2353, 2465, 3277, 4525, 4825, 6697, 8321, 10225, 10585, 10621, 11041, 11521, 12025, 13665, 14089, 16725, 16806, 18721, 19345, 20197, 20417, 20425, 22945, 25829, 26419, 29234, 29341, 29857, 29891, 30025, 30811, …
8 9, 21, 45, 63, 65, 105, 117, 133, 153, 231, 273, 341, 481, 511, 561, 585, 645, 651, 861, 949, 1001, 1105, 1281, 1365, 1387, 1417, 1541, 1649, 1661, 1729, 1785, 1905, 2047, 2169, 2465, 2501, 2701, 2821, 3145, 3171, …
9 4, 8, 28, 52, 91, 121, 205, 286, 364, 511, 532, 616, 671, 697, 703, 946, 949, 1036, 1105, 1288, 1387, 1541, 1729, 1891, 2465, 2501, 2665, 2701, 2806, 2821, 2926, 3052, 3281, 3367, 3751, 4376, 4636, 4961, 5356, 5551, …
10 9, 33, 91, 99, 259, 451, 481, 561, 657, 703, 909, 1233, 1729, 2409, 2821, 2981, 3333, 3367, 4141, 4187, 4521, 5461, 6533, 6541, 6601, 7107, 7471, 7777, 8149, 8401, 8911, 10001, 11111, 11169, 11649, 12403, 12801, 13833, 13981, 14701, …
11 10, 15, 70, 133, 190, 259, 305, 481, 645, 703, 793, 1105, 1330, 1729, 2047, 2257, 2465, 2821, 4577, 4921, 5041, 5185, 6601, 7869, 8113, 8170, 8695, 8911, 9730, 10585, 12403, 13333, 14521, 14981, 15841, 16705, 17711, 18705, 23377, 24130, …
12 65, 91, 133, 143, 145, 247, 377, 385, 703, 1045, 1099, 1105, 1649, 1729, 1885, 1891, 2041, 2233, 2465, 2701, 2821, 2983, 3367, 3553, 5005, 5365, 5551, 5785, 6061, 6305, 6601, 8911, 9073, 10585, 11077, 12403, 12673, 12905, 13051, 13333, …
13 4, 6, 12, 21, 85, 105, 231, 244, 276, 357, 427, 561, 1099, 1785, 1891, 2465, 2806, 3605, 5028, 5149, 5185, 5565, 6601, 7107, 8841, 8911, 9577, 9637, 10308, 10585, 11305, 12403, 12621, 13019, 13345, 13461, 13685, 14491, 14981, 15051, …
14 15, 39, 65, 195, 481, 561, 781, 793, 841, 985, 1105, 1111, 1541, 1891, 2257, 2465, 2561, 2665, 2743, 3277, 5185, 5713, 6501, 6533, 6541, 7107, 7171, 7449, 7543, 7585, 8321, 9073, 10585, 12403, 12505, 12545, 12805, 12871, 13429, 14111, …
15 14, 341, 742, 946, 1477, 1541, 1687, 1729, 1891, 1921, 2821, 3133, 3277, 4187, 6541, 6601, 7471, 8701, 8911, 9073, 10279, 10649, 12871, 14041, 14701, 15409, 15841, 16841, 19201, 20017, 24521, 25313, 25546, 28063, 29341, 30889, 31021, 38963, 41041, 46657, …
16 15, 51, 85, 91, 255, 341, 435, 451, 561, 595, 645, 703, 1105, 1247, 1261, 1271, 1285, 1387, 1581, 1687, 1695, 1729, 1891, 1905, 2047, 2071, 2091, 2431, 2465, 2701, 2821, 3133, 3277, 3367, 3655, 3683, 4033, 4369, 4371, 4681, …
17 4, 8, 9, 16, 45, 91, 145, 261, 781, 1111, 1228, 1305, 1729, 1885, 2149, 2821, 3991, 4005, 4033, 4187, 4912, 5365, 5662, 5833, 6601, 6697, 7171, 8481, 8911, 10585, 11476, 12403, 12673, 13333, 13833, 15805, 15841, 16705, 19345, 19729, …
18 25, 49, 65, 85, 133, 221, 323, 325, 343, 425, 451, 637, 931, 1105, 1225, 1369, 1387, 1649, 1729, 1921, 2149, 2465, 2701, 2821, 2825, 2977, 3325, 4165, 4577, 4753, 5525, 5725, 5833, 5941, 6305, 6517, 6601, 7345, 8911, 9061, …
19 6, 9, 15, 18, 45, 49, 153, 169, 343, 561, 637, 889, 905, 906, 1035, 1105, 1629, 1661, 1849, 1891, 2353, 2465, 2701, 2821, 2955, 3201, 4033, 4681, 5461, 5466, 5713, 6223, 6541, 6601, 6697, 7957, 8145, 8281, 8401, 8869, …
20 21, 57, 133, 231, 399, 561, 671, 861, 889, 1281, 1653, 1729, 1891, 2059, 2413, 2501, 2761, 2821, 2947, 3059, 3201, 4047, 5271, 5461, 5473, 5713, 5833, 6601, 6817, 7999, 8421, 8911, 11229, 11557, 11837, 12801, 13051, 13981, 14091, 15251, …
21 4, 10, 20, 55, 65, 85, 221, 703, 793, 1045, 1105, 1852, 2035, 2465, 3781, 4630, 5185, 5473, 5995, 6541, 7363, 8695, 8965, 9061, 10585, 10945, 11647, 13019, 13051, 13981, 14491, 17767, 18103, 18721, 19345, 19669, 19909, 21667, 22681, 23155, …
22 21, 69, 91, 105, 161, 169, 345, 483, 485, 645, 805, 1105, 1183, 1247, 1261, 1541, 1649, 1729, 1891, 2037, 2041, 2047, 2413, 2465, 2737, 2821, 3241, 3605, 3801, 5551, 5565, 5963, 6019, 6601, 6693, 7081, 7107, 7267, 7665, 8119, …
23 22, 33, 91, 154, 165, 169, 265, 341, 385, 451, 481, 553, 561, 638, 946, 1027, 1045, 1065, 1105, 1183, 1271, 1729, 1738, 1749, 2059, 2321, 2465, 2501, 2701, 2821, 2926, 3097, 3445, 4033, 4081, 4345, 4371, 4681, 5005, 5149, …
24 25, 115, 175, 325, 553, 575, 805, 949, 1105, 1541, 1729, 1771, 1825, 1975, 2413, 2425, 2465, 2701, 2737, 2821, 2885, 3781, 4207, 4537, 6601, 6931, 6943, 7081, 7189, 7471, 7501, 7813, 8725, 8911, 9085, 9361, 9809, 10465, 10585, 11557, …
25 4, 6, 8, 12, 24, 28, 39, 66, 91, 124, 217, 232, 276, 403, 426, 451, 532, 561, 616, 703, 781, 804, 868, 946, 1128, 1288, 1541, 1729, 1891, 2047, 2701, 2806, 2821, 2911, 2926, 3052, 3126, 3367, 3592, 3976, …
26 9, 15, 25, 27, 45, 75, 133, 135, 153, 175, 217, 225, 259, 425, 475, 561, 589, 675, 703, 775, 925, 1035, 1065, 1147, 2465, 3145, 3325, 3385, 3565, 3825, 4123, 4525, 4741, 4921, 5041, 5425, 6093, 6475, 6525, 6601, …
27 26, 65, 91, 121, 133, 247, 259, 286, 341, 365, 481, 671, 703, 949, 1001, 1105, 1541, 1649, 1729, 1891, 2071, 2465, 2665, 2701, 2821, 2981, 2993, 3146, 3281, 3367, 3605, 3751, 4033, 4745, 4921, 4961, 5299, 5461, 5551, 5611, …
28 9, 27, 45, 87, 145, 261, 361, 529, 561, 703, 783, 785, 1105, 1305, 1413, 1431, 1885, 2041, 2413, 2465, 2871, 3201, 3277, 4553, 4699, 5149, 5181, 5365, 7065, 8149, 8321, 8401, 9841, 10027, 10585, 12673, 13333, 13345, 13357, 13833, …
29 4, 14, 15, 21, 28, 35, 52, 91, 105, 231, 268, 341, 364, 469, 481, 561, 651, 793, 871, 1105, 1729, 1876, 1897, 2105, 2257, 2821, 3484, 3523, 4069, 4371, 4411, 5149, 5185, 5356, 5473, 5565, 5611, 6097, 6601, 7161, …
30 49, 91, 133, 217, 247, 341, 403, 469, 493, 589, 637, 703, 871, 899, 901, 931, 1273, 1519, 1537, 1729, 2059, 2077, 2821, 3097, 3277, 3283, 3367, 3577, 4081, 4097, 4123, 5729, 6031, 6061, 6097, 6409, 6601, 6817, 7657, 8023, …
31 6, 10, 15, 30, 49, 65, 66, 133, 185, 451, 481, 561, 637, 931, 946, 1105, 1221, 1729, 1813, 2317, 2405, 2465, 2553, 3310, 4753, 4921, 6241, 6289, 6601, 7107, 7421, 7449, 8177, 8911, 9073, 9131, 10470, 10585, 10963, 11041, …
32 25, 33, 93, 165, 205, 217, 325, 341, 385, 425, 465, 561, 645, 697, 793, 825, 1023, 1025, 1045, 1057, 1065, 1105, 1353, 1387, 1525, 1705, 1729, 1905, 2047, 2317, 2325, 2465, 2665, 2701, 2761, 2821, 3053, 3157, 3277, 3565, …
33 4, 8, 16, 32, 85, 496, 545, 703, 1057, 1105, 1417, 1649, 1729, 1853, 2465, 2501, 2821, 3368, 4033, 4492, 4681, 5461, 5713, 5833, 6533, 6601, 7861, 8911, 9061, 9073, 9265, 10585, 11305, 11359, 12209, 12403, 13741, 15841, 16589, 16745, …
34 15, 21, 33, 35, 55, 65, 77, 105, 165, 231, 273, 385, 429, 435, 445, 671, 703, 1001, 1045, 1065, 1155, 1157, 1281, 1365, 1729, 1869, 1891, 2035, 2059, 2071, 2145, 2779, 2821, 2937, 3201, 3605, 4033, 4795, 5005, 5161, …
35 9, 34, 51, 153, 341, 442, 561, 782, 1247, 1261, 1581, 1921, 2278, 2431, 2701, 2871, 3298, 3601, 4371, 5083, 5161, 5517, 7543, 7633, 7969, 8398, 10421, 11041, 12403, 13051, 13833, 14689, 15051, 16441, 16589, 17391, 19006, 19041, 19951, 20026, …
36 35, 91, 185, 217, 259, 301, 403, 481, 559, 679, 703, 1105, 1111, 1147, 1261, 1295, 1333, 1387, 1591, 1729, 1891, 2465, 2651, 2701, 2821, 3007, 3145, 3367, 3421, 3565, 3589, 3913, 4123, 4141, 4171, 4495, 5551, 5611, 5713, 6001, …
37 4, 6, 9, 12, 18, 28, 36, 45, 57, 66, 133, 171, 217, 246, 268, 285, 301, 396, 451, 469, 561, 589, 685, 801, 817, 1065, 1105, 1233, 1273, 1333, 1387, 1476, 1653, 1729, 1876, 1881, 2044, 2077, 2413, 2465, …
38 39, 65, 85, 91, 111, 185, 221, 259, 289, 469, 481, 561, 629, 697, 871, 1105, 1221, 1443, 1445, 2405, 2465, 2479, 2553, 2665, 2701, 2821, 3145, 3367, 3585, 3757, 4033, 4187, 4681, 5291, 5461, 6031, 6097, 6601, 6931, 7449, …
39 38, 95, 133, 341, 1561, 1834, 1891, 2047, 2101, 2465, 3053, 3439, 3805, 4141, 4237, 4411, 5662, 5921, 6533, 6601, 6697, 8149, 8321, 8911, 10381, 10585, 12403, 12431, 13889, 13981, 15841, 16297, 16441, 16589, 17081, 20567, 22681, 23521, 26885, 28153, …
40 39, 91, 121, 123, 289, 451, 533, 561, 703, 793, 1541, 1561, 1599, 1729, 1921, 2821, 2899, 3097, 3367, 3751, 3829, 4961, 5461, 5729, 6031, 6601, 7111, 7201, 7381, 8911, 9073, 9881, 10897, 11011, 11041, 11121, 11521, 12403, 12801, 13073, …

Eulersche Phi-FunktionBearbeiten

  +0 +1 +2 +3 +4 +5 +6 +7 +8 +9
00+   1 1 2 2 4 2 6 4 6
10+ 4 10 4 12 6 8 8 16 6 18
20+ 8 12 10 22 8 20 12 18 12 28
30+ 8 30 16 20 16 24 12 36 18 24
40+ 16 40 12 42 20 24 22 46 16 42
50+ 20 32 24 52 18 40 24 36 28 58
60+ 16 60 30 36 32 48 20 66 32 44
70+ 24 70 24 72 36 40 36 60 24 78
80+ 32 54 40 82 24 64 42 56 40 88
90+ 24 72 44 60 46 72 32 96 42 60
100+ 40 100 32 102 48 48 52 106 36 108
110+ 40 72 48 112 36 88 56 72 58 96
120+ 32 110 60 80 60 100 36 126 64 84
130+ 48 130 40 108 66 72 64 136 44 138
140+ 48 92 70 120 48 112 72 84 72 148
150+ 40 150 72 96 60 120 48 156 78 104
160+ 64 132 54 162 80 80 82 166 48 156
170+ 64 108 84 172 56 120 80 116 88 178
180+ 48 180 72 120 88 144 60 160 92 108
190+ 72 190 64 192 96 96 84 196 60 198
200+ 80 132 100 168 64 160 102 132 96 180
210+ 48 210 104 140 106 168 72 180 108 144
220+ 80 192 72 222 96 120 112 226 72 228
230+ 88 120 112 232 72 184 116 156 96 238
240+ 64 240 110 162 120 168 80 216 120 164
250+ 100 250 72 220 126 128 128 256 84 216
260+ 96 168 130 262 80 208 108 176 132 268
270+ 72 270 128 144 136 200 88 276 138 180
280+ 96 280 92 282 140 144 120 240 96 272
290+ 112 192 144 292 84 232 144 180 148 264
300+ 80 252 150 200 144 240 96 306 120 204
310+ 120 310 96 312 156 144 156 316 104 280
320+ 128 212 132 288 108 240 162 216 160 276
330+ 80 330 164 216 166 264 96 336 156 224
340+ 128 300 108 294 168 176 172 346 112 348
350+ 120 216 160 352 116 280 176 192 178 358
360+ 96 342 180 220 144 288 120 366 176 240
370+ 144 312 120 372 160 200 184 336 108 378
380+ 144 252 190 382 128 240 192 252 192 388
390+ 96 352 168 260 196 312 120 396 198 216

PrimfaktorzerlegungenBearbeiten

Zahl Primfaktor­zerlegung     Teilermenge
1   1 1 1
2 2 2 3 1, 2
3 3 2 4 1, 3
4 22 3 7 1, 2, 4
5 5 2 6 1, 5
6 2, 3 4 12 1, 2, 3, 6
7 7 2 8 1, 7
8 23 4 15 1, 2, 4, 8
9 32 3 13 1, 3, 9
10 2, 5 4 18 1, 2, 5, 10
11 11 2 12 1, 11
12 22, 3 6 28 1, 2, 3, 4, 6, 12
13 13 2 14 1, 13
14 2, 7 4 24 1, 2, 7, 14
15 3, 5 4 24 1, 3, 5, 15
16 24 5 31 1, 2, 4, 8, 16
17 17 2 18 1, 17
18 2, 32 6 39 1, 2, 3, 6, 9, 18
19 19 2 20 1, 19
20 22, 5 6 42 1, 2, 4, 5, 10, 20
21 3, 7 4 32 1, 3, 7, 21
22 2, 11 4 36 1, 2, 11, 22
23 23 2 24 1, 23
24 23, 3 8 60 1, 2, 3, 4, 6, 8, 12, 24
25 52 3 31 1, 5, 25
26 2, 13 4 42 1, 2, 13, 26
27 33 4 40 1, 3, 9, 27
28 22, 7 6 56 1, 2, 4, 7, 14, 28
29 29 2 30 1, 29
30 2, 3, 5 8 72 1, 2, 3, 5, 6, 10, 15, 30
31 31 2 32 1, 31
32 25 6 63 1, 2, 4, 8, 16, 32
33 3, 11 4 48 1, 3, 11, 33
34 2, 17 4 54 1, 2, 17, 34
35 5, 7 4 48 1, 5, 7, 35
36 22, 32 9 91 1, 2, 3, 4, 6, 9, 12, 18, 36
37 37 2 38 1, 37
38 2, 19 4 60 1, 2, 19, 38
39 3, 13 4 56 1, 3, 13, 39
40 23, 5 8 90 1, 2, 4, 5, 8, 10, 20, 40
41 41 2 42 1, 41
42 2, 3, 7 8 96 1, 2, 3, 6, 7, 14, 21, 42
43 43 2 44 1, 43
44 22, 11 6 84 1, 2, 4, 11, 22, 44
45 32, 5 6 78 1, 3, 5, 9, 15, 45
46 2, 23 4 72 1, 2, 23, 46
47 47 2 48 1, 47
48 24, 3 10 124 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
49 72 3 57 1, 7, 49
50 2, 52 6 93 1, 2, 5, 10, 25, 50
51 3, 17 4 72 1, 3, 17, 51
52 22, 13 6 98 1, 2, 4, 13, 26, 52
53 53 2 54 1, 53
54 2, 33 8 120 1, 2, 3, 6, 9, 18, 27, 54
55 5, 11 4 72 1, 5, 11, 55
56 23, 7 8 120 1, 2, 4, 7, 8, 14, 28, 56
57 3, 19 4 80 1, 3, 19, 57
58 2, 29 4 90 1, 2, 29, 58
59 59 2 60 1, 59
60 22, 3, 5 12 168 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
61 61 2 62 1, 61
62 2, 31 4 96 1, 2, 31, 62
63 32, 7 6 104 1, 3, 7, 9, 21, 63
64 26 7 127 1, 2, 4, 8, 16, 32, 64
65 5, 13 4 84 1, 5, 13, 65
66 2, 3, 11 8 144 1, 2, 3, 6, 11, 22, 33, 66
67 67 2 68 1, 67
68 22, 17 6 126 1, 2, 4, 17, 34, 68
69 3, 23 4 96 1, 3, 23, 69
70 2, 5, 7 8 144 1, 2, 5, 7, 10, 14, 35, 70
71 71 2 72 1, 71
72 23, 32 12 195 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
73 73 2 74 1, 73
74 2, 37 4 114 1, 2, 37, 74
75 3, 52 6 124 1, 3, 5, 15, 25, 75
76 22, 19 6 140 1, 2, 4, 19, 38, 76
77 7, 11 4 96 1, 7, 11, 77
78 2, 3, 13 8 168 1, 2, 3, 6, 13, 26, 39, 78
79 79 2 80 1, 79
80 24, 5 10 186 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
81 34 5 121 1, 3, 9, 27, 81
82 2, 41 4 126 1, 2, 41, 82
83 83 2 84 1, 83
84 22, 3, 7 12 224 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
85 5, 17 4 108 1, 5, 17, 85
86 2, 43 4 132 1, 2, 43, 86
87 3, 29 4 120 1, 3, 29, 87
88 23, 11 8 180 1, 2, 4, 8, 11, 22, 44, 88
89 89 2 90 1, 89
90 2, 32, 5 12 234 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
91 7, 13 4 112 1, 7, 13, 91
92 22, 23 6 168 1, 2, 4, 23, 46, 92
93 3, 31 4 128 1, 3, 31, 93
94 2, 47 4 144 1, 2, 47, 94
95 5, 19 4 120 1, 5, 19, 95
96 25, 3 12 252 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
97 97 2 98 1, 97
98 2, 72 6 171 1, 2, 7, 14, 49, 98
99 32, 11 6 156 1, 3, 9, 11, 33, 99
100 22, 52 9 217 1, 2, 4, 5, 10, 20, 25, 50, 100
101 101 2 102 1, 101
102 2, 3, 17 8 216 1, 2, 3, 6, 17, 34, 51, 102
103 103 2 104 1, 103
104 23, 13 8 210 1, 2, 4, 8, 13, 26, 52, 104
105 3, 5, 7 8 192 1, 3, 5, 7, 15, 21, 35, 105
106 2, 53 4 162 1, 2, 53, 106
107 107 2 108 1, 107
108 22, 33 12 280 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
109 109 2 110 1, 109
110 2, 5, 11 8 216 1, 2, 5, 10, 11, 22, 55, 110
111 3, 37 4 152 1, 3, 37, 111
112 24, 7 10 248 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
113 113 2 114 1, 113
114 2, 3, 19 8 240 1, 2, 3, 6, 19, 38, 57, 114
115 5, 23 4 144 1, 5, 23, 115
116 22, 29 6 210 1, 2, 4, 29, 58, 116
117 32, 13 6 182 1, 3, 9, 13, 39, 117
118 2, 59 4 180 1, 2, 59, 118
119 7, 17 4 144 1, 7, 17, 119
120 23, 3, 5 16 360 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
121 112 3 133 1, 11, 121
122 2, 61 4 186 1, 2, 61, 122
123 3, 41 4 168 1, 3, 41, 123
124 22, 31 6 224 1, 2, 4, 31, 62, 124
125 53 4 156 1, 5, 25, 125
126 2, 32, 7 12 312 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
127 127 2 128 1, 127
128 27 8 255 1, 2, 4, 8, 16, 32, 64, 128
129 3, 43 4 176 1, 3, 43, 129
130 2, 5, 13 8 252 1, 2, 5, 10, 13, 26, 65, 130
131 131 2 132 1, 131
132 22, 3, 11 12 336 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
133 7, 19 4 160 1, 7, 19, 133
134 2, 67 4 204 1, 2, 67, 134
135 33, 5 8 240 1, 3, 5, 9, 15, 27, 45, 135
136 23, 17 8 270 1, 2, 4, 8, 17, 34, 68, 136
137 137 2 138 1, 137
138 2, 3, 23 8 288 1, 2, 3, 6, 23, 46, 69, 138
139 139 2 140 1, 139
140 22, 5, 7 12 336 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
141 3, 47 4 192 1, 3, 47, 141
142 2, 71 4 216 1, 2, 71, 142
143 11, 13 4 168 1, 11, 13, 143
144 24, 32 15 403 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
145 5, 29 4 180 1, 5, 29, 145
146 2, 73 4 222 1, 2, 73, 146
147 3, 72 6 228 1, 3, 7, 21, 49, 147
148 22, 37 6 266 1, 2, 4, 37, 74, 148
149 149 2 150 1, 149
150 2, 3, 52 12 372 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
151 151 2 152 1, 151
152 23, 19 8 300 1, 2, 4, 8, 19, 38, 76, 152
153 32, 17 6 234 1, 3, 9, 17, 51, 153
154 2, 7, 11 8 288 1, 2, 7, 11, 14, 22, 77, 154
155 5, 31 4 192 1, 5, 31, 155
156 22, 3, 13 12 392 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
157 157 2 158 1, 157
158 2, 79 4 240 1, 2, 79, 158
159 3, 53 4 216 1, 3, 53, 159
160 25, 5 12 378 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
161 7, 23 4 192 1, 7, 23, 161
162 2, 34 10 363 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
163 163 2 164 1, 163
164 22, 41 6 294 1, 2, 4, 41, 82, 164
165 3, 5, 11 8 288 1, 3, 5, 11, 15, 33, 55, 165
166 2, 83 4 252 1, 2, 83, 166
167 167 2 168 1, 167
168 23, 3, 7 16 480 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
169 132 3 183 1, 13, 169
170 2, 5, 17 8 324 1, 2, 5, 10, 17, 34, 85, 170
171 32, 19 6 260 1, 3, 9, 19, 57, 171
172 22, 43 6 308 1, 2, 4, 43, 86, 172
173 173 2 174 1, 173
174 2, 3, 29 8 360 1, 2, 3, 6, 29, 58, 87, 174
175 52, 7 6 248 1, 5, 7, 25, 35, 175
176 24, 11 10 372 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
177 3, 59 4 240 1, 3, 59, 177
178 2, 89 4 270 1, 2, 89, 178
179 179 2 180 1, 179
180 22, 32, 5 18 546 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
181 181 2 182 1, 181
182 2, 7, 13 8 336 1, 2, 7, 13, 14, 26, 91, 182
183 3, 61 4 248 1, 3, 61, 183
184 23, 23 8 360 1, 2, 4, 8, 23, 46, 92, 184
185 5, 37 4 228 1, 5, 37, 185
186 2, 3, 31 8 384 1, 2, 3, 6, 31, 62, 93, 186
187 11, 17 4 216 1, 11, 17, 187
188 22, 47 6 336 1, 2, 4, 47, 94, 188
189 33, 7 8 320 1, 3, 7, 9, 21, 27, 63, 189
190 2, 5, 19 8 360 1, 2, 5, 10, 19, 38, 95, 190
191 191 2 192 1, 191
192 26, 3 14 508 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
193 193 2 194 1, 193
194 2, 97 4 294 1, 2, 97, 194
195 3, 5, 13 8 336 1, 3, 5, 13, 15, 39, 65, 195
196 22, 72 9 399 1, 2, 4, 7, 14, 28, 49, 98, 196
197 197 2 198 1, 197
198 2, 32, 11 12 468 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
199 199 2 200 1, 199
200 23, 52 12 465 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
201 3, 67 4 272 1, 3, 67, 201
202 2, 101 4 306 1, 2, 101, 202
203 7, 29 4 240 1, 7, 29, 203
204 22, 3, 17 12 504 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
205 5, 41 4 252 1, 5, 41, 205
206 2, 103 4 312 1, 2, 103, 206
207 32, 23 6 312 1, 3, 9, 23, 69, 207
208 24, 13 10 434 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
209 11, 19 4 240 1, 11, 19, 209
210 2, 3, 5, 7 16 576 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
211 211 2 212 1, 211
212 22, 53 6 378 1, 2, 4, 53, 106, 212
213 3, 71 4 288 1, 3, 71, 213
214 2, 107 4 324 1, 2, 107, 214
215 5, 43 4 264 1, 5, 43, 215
216 23, 33 16 600 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
217 7, 31 4 256 1, 7, 31, 217
218 2, 109 4 330 1, 2, 109, 218
219 3, 73 4 296 1, 3, 73, 219
220 22, 5, 11 12 504 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
221 13, 17 4 252 1, 13, 17, 221
222 2, 3, 37 8 456 1, 2, 3, 6, 37, 74, 111, 222
223 223 2 224 1, 223
224 25, 7 12 504 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
225 32, 52 9 403 1, 3, 5, 9, 15, 25, 45, 75, 225
226 2, 113 4 342 1, 2, 113, 226
227 227 2 228 1, 227
228 22, 3, 19 12 560 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
229 229 2 230 1, 229
230 2, 5, 23 8 432 1, 2, 5, 10, 23, 46, 115, 230
231 3, 7, 11 8 384 1, 3, 7, 11, 21, 33, 77, 231
232 23, 29 8 450 1, 2, 4, 8, 29, 58, 116, 232
233 233 2 234 1, 233
234 2, 32, 13 12 546 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
235 5, 47 4 288 1, 5, 47, 235
236 22, 59 6 420 1, 2, 4, 59, 118, 236
237 3, 79 4 320 1, 3, 79, 237
238 2, 7, 17 8 432 1, 2, 7, 14, 17, 34, 119, 238
239 239 2 240 1, 239
240 24, 3, 5 20 744 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
241 241 2 242 1, 241
242 2, 112 6 399 1, 2, 11, 22, 121, 242
243 35 6 364 1, 3, 9, 27, 81, 243
244 22, 61 6 434 1, 2, 4, 61, 122, 244
245 5, 72 6 342 1, 5, 7, 35, 49, 245
246 2, 3, 41 8 504 1, 2, 3, 6, 41, 82, 123, 246
247 13, 19 4 280 1, 13, 19, 247
248 23, 31 8 480 1, 2, 4, 8, 31, 62, 124, 248
249 3, 83 4 336 1, 3, 83, 249
250 2, 53 8 468 1, 2, 5, 10, 25, 50, 125, 250
251 251 2 252 1, 251
252 22, 32, 7 18 728 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
253 11, 23 4 288 1, 11, 23, 253
254 2, 127 4 384 1, 2, 127, 254
255 3, 5, 17 8 432 1, 3, 5, 15, 17, 51, 85, 255
256 28 9 511 1, 2, 4, 8, 16, 32, 64, 128, 256
257 257 2 258 1, 257
258 2, 3, 43 8 528 1, 2, 3, 6, 43, 86, 129, 258
259 7, 37 4 304 1, 7, 37, 259
260 22, 5, 13 12 588 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
261 32, 29 6 390 1, 3, 9, 29, 87, 261
262 2, 131 4 396 1, 2, 131, 262
263 263 2 264 1, 263
264 23, 3, 11 16 720 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
265 5, 53 4 324 1, 5, 53, 265
266 2, 7, 19 8 480 1, 2, 7, 14, 19, 38, 133, 266
267 3, 89 4 360 1, 3, 89, 267
268 22, 67 6 476 1, 2, 4, 67, 134, 268
269 269 2 270 1, 269
270 2, 33, 5 16 720 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
271 271 2 272 1, 271
272 24, 17 10 558 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
273 3, 7, 13 8 448 1, 3, 7, 13, 21, 39, 91, 273
274 2, 137 4 414 1, 2, 137, 274
275 52, 11 6 372 1, 5, 11, 25, 55, 275
276 22, 3, 23 12 672 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
277 277 2 278 1, 277
278 2, 139 4 420 1, 2, 139, 278
279 32, 31 6 416 1, 3, 9, 31, 93, 279
280 23, 5, 7 16 720 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
281 281 2 282 1, 281
282 2, 3, 47 8 576 1, 2, 3, 6, 47, 94, 141, 282
283 283 2 284 1, 283
284 22, 71 6 504 1, 2, 4, 71, 142, 284
285 3, 5, 19 8 480 1, 3, 5, 15, 19, 57, 95, 285
286 2, 11, 13 8 504 1, 2, 11, 13, 22, 26, 143, 286
287 7, 41 4 336 1, 7, 41, 287
288 25, 32 18 819 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
289 172 3 307 1, 17, 289
290 2, 5, 29 8 540 1, 2, 5, 10, 29, 58, 145, 290
291 3, 97 4 392 1, 3, 97, 291
292 22, 73 6 518 1, 2, 4, 73, 146, 292
293 293 2 294 1, 293
294 2, 3, 72 12 684 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
295 5, 59 4 360 1, 5, 59, 295
296 23, 37 8 570 1, 2, 4, 8, 37, 74, 148, 296
297 33, 11 8 480 1, 3, 9, 11, 27, 33, 99, 297
298 2, 149 4 450 1, 2, 149, 298
299 13, 23 4 336 1, 13, 23, 299
300 22, 3, 52 18 868 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
301 7, 43 4 352 1, 7, 43, 301
302 2, 151 4 456 1, 2, 151, 302
303 3, 101 4 408 1, 3, 101, 303
304 24, 19 10 620 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
305 5, 61 4 372 1, 5, 61, 305
306 2, 32, 17 12 702 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
307 307 2 308 1, 307
308 22, 7, 11 12 672 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
309 3, 103 4 416 1, 3, 103, 309
310 2, 5, 31 8 576 1, 2, 5, 10, 31, 62, 155, 310
311 311 2 312 1, 311
312 23, 3, 13 16 840 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
313 313 2 314 1, 313
314 2, 157 4 474 1, 2, 157, 314
315 32, 5, 7 12 624 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
316 22, 79 6 560 1, 2, 4, 79, 158, 316
317 317 2 318 1, 317
318 2, 3, 53 8 648 1, 2, 3, 6, 53, 106, 159, 318
319 11, 29 4 360 1, 11, 29, 319
320 26, 5 14 762 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
321 3, 107 4 432 1, 3, 107, 321
322 2, 7, 23 8 576 1, 2, 7, 14, 23, 46, 161, 322
323 17, 19 4 360 1, 17, 19, 323
324 22, 34 15 847 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
325 52, 13 6 434 1, 5, 13, 25, 65, 325
326 2, 163 4 492 1, 2, 163, 326
327 3, 109 4 440 1, 3, 109, 327
328 23, 41 8 630 1, 2, 4, 8, 41, 82, 164, 328
329 7, 47 4 384 1, 7, 47, 329
330 2, 3, 5, 11 16 864 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
331 331 2 332 1, 331
332 22, 83 6 588 1, 2, 4, 83, 166, 332
333 32, 37 6 494 1, 3, 9, 37, 111, 333
334 2, 167 4 504 1, 2, 167, 334
335 5, 67 4 408 1, 5, 67, 335
336 24, 3, 7 20 992 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
337 337 2 338 1, 337
338 2, 132 6 549 1, 2, 13, 26, 169, 338
339 3, 113 4 456 1, 3, 113, 339
340 22, 5, 17 12 756 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
341 11, 31 4 384 1, 11, 31, 341
342 2, 32, 19 12 780 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
343 73 4 400 1, 7, 49, 343
344 23, 43 8 660 1, 2, 4, 8, 43, 86, 172, 344
345 3, 5, 23 8 576 1, 3, 5, 15, 23, 69, 115, 345
346 2, 173 4 522 1, 2, 173, 346
347 347 2 348 1, 347
348 22, 3, 29 12 840 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
349 349 2 350 1, 349
350 2, 52, 7 12 744 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
351 33, 13 8 560 1, 3, 9, 13, 27, 39, 117, 351
352 25, 11 12 756 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
353 353 2 354 1, 353
354 2, 3, 59 8 720 1, 2, 3, 6, 59, 118, 177, 354
355 5, 71 4 432 1, 5, 71, 355
356 22, 89 6 630 1, 2, 4, 89, 178, 356
357 3, 7, 17 8 576 1, 3, 7, 17, 21, 51, 119, 357
358 2, 179 4 540 1, 2, 179, 358
359 359 2 360 1, 359
360 23, 32, 5 24 1170 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
361 192 3 381 1, 19, 361
362 2, 181 4 546 1, 2, 181, 362
363 3, 112 6 532 1, 3, 11, 33, 121, 363
364 22, 7, 13 12 784 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
365 5, 73 4 444 1, 5, 73, 365
366 2, 3, 61 8 744 1, 2, 3, 6, 61, 122, 183, 366
367 367 2 368 1, 367
368 24, 23 10 744 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
369 32, 41 6 546 1, 3, 9, 41, 123, 369
370 2, 5, 37 8 684 1, 2, 5, 10, 37, 74, 185, 370
371 7, 53 4 432 1, 7, 53, 371
372 22, 3, 31 12 896 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
373 373 2 374 1, 373
374 2, 11, 17 8 648 1, 2, 11, 17, 22, 34, 187, 374
375 3, 53 8 624 1, 3, 5, 15, 25, 75, 125, 375
376 23, 47 8 720 1, 2, 4, 8, 47, 94, 188, 376
377 13, 29 4 420 1, 13, 29, 377
378 2, 33, 7 16 960 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
379 379 2 380 1, 379
380 22, 5, 19 12 840 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
381 3, 127 4 512 1, 3, 127, 381
382 2, 191 4 576 1, 2, 191, 382
383 383 2 384 1, 383
384 27, 3 16 1020 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
385 5, 7, 11 8 576 1, 5, 7, 11, 35, 55, 77, 385
386 2, 193 4 582 1, 2, 193, 386
387 32, 43 6 572 1, 3, 9, 43, 129, 387
388 22, 97 6 686 1, 2, 4, 97, 194, 388
389 389 2 390 1, 389
390 2, 3, 5, 13 16 1008 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
391 17, 23 4 432 1, 17, 23, 391
392 23, 72 12 855 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
393 3, 131 4 528 1, 3, 131, 393
394 2, 197 4 594 1, 2, 197, 394
395 5, 79 4 480 1, 5, 79, 395
396 22, 32, 11 18 1092 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
397 397 2 398 1, 397
398 2, 199 4 600 1, 2, 199, 398
399 3, 7, 19 8 640 1, 3, 7, 19, 21, 57, 133, 399
400 24, 52 15 961 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

ComputerprogrammeBearbeiten

Funktion Maxima GAP
ggT gcd(m,n) Gcd(m,n)
kgV lcm(m,n)[1] Lcm(m,n)
Primfaktorzerlegung factor(n)[2] Factors(n)
Primzahltest (deterministisch) primep(n) (n<1014) IsPrimeInt(n) (n<1018)
Primzahltest (probalistisch) primep(n) IsProbablyPrimeInt(n)
eulersche Phi-Funktion totient(n) Phi(n)
  1. Benötigt load("functs"). Auch mehr als zwei Argumente möglich.
  2. Zur Programmierung wird ifactors(n) verwendet.