Fermat pseudoprimes: Difference between revisions
Add Mathematica/Wolfram Language implementation
imported>CosmiaNebula (Python) |
(Add Mathematica/Wolfram Language implementation) |
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Base 19 up to 50000: 93 First 20: [6, 9, 15, 18, 45, 49, 153, 169, 343, 561, 637, 889, 905, 906, 1035, 1105, 1629, 1661, 1849, 1891]
Base 20 up to 50000: 66 First 20: [21, 57, 133, 231, 399, 561, 671, 861, 889, 1281, 1653, 1729, 1891, 2059, 2413, 2501, 2761, 2821, 2947, 3059]
</pre>
=={{header|Mathematica}}/{{header|Wolfram Language}}==
<syntaxhighlight lang="Mathematica">
ispseudo[n_, base_] := (!PrimeQ[n]) && (PowerMod[base, n - 1, n] == 1)
Do[
pseudos = Select[Range[1, 50000], ispseudo[#, b] &];
Print["Base ", b, " up to 50000: ", Length[pseudos], " First 20: ", Take[pseudos, 20]],
{b, 1, 20}
]
</syntaxhighlight>
{{out}}
<pre>
Base 1 up to 50000: 44866 First 20: {4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32}
Base 2 up to 50000: 55 First 20: {341, 561, 645, 1105, 1387, 1729, 1905, 2047, 2465, 2701, 2821, 3277, 4033, 4369, 4371, 4681, 5461, 6601, 7957, 8321}
Base 3 up to 50000: 53 First 20: {91, 121, 286, 671, 703, 949, 1105, 1541, 1729, 1891, 2465, 2665, 2701, 2821, 3281, 3367, 3751, 4961, 5551, 6601}
Base 4 up to 50000: 111 First 20: {15, 85, 91, 341, 435, 451, 561, 645, 703, 1105, 1247, 1271, 1387, 1581, 1695, 1729, 1891, 1905, 2047, 2071}
Base 5 up to 50000: 54 First 20: {4, 124, 217, 561, 781, 1541, 1729, 1891, 2821, 4123, 5461, 5611, 5662, 5731, 6601, 7449, 7813, 8029, 8911, 9881}
Base 6 up to 50000: 74 First 20: {35, 185, 217, 301, 481, 1105, 1111, 1261, 1333, 1729, 2465, 2701, 2821, 3421, 3565, 3589, 3913, 4123, 4495, 5713}
Base 7 up to 50000: 49 First 20: {6, 25, 325, 561, 703, 817, 1105, 1825, 2101, 2353, 2465, 3277, 4525, 4825, 6697, 8321, 10225, 10585, 10621, 11041}
Base 8 up to 50000: 150 First 20: {9, 21, 45, 63, 65, 105, 117, 133, 153, 231, 273, 341, 481, 511, 561, 585, 645, 651, 861, 949}
Base 9 up to 50000: 113 First 20: {4, 8, 28, 52, 91, 121, 205, 286, 364, 511, 532, 616, 671, 697, 703, 946, 949, 1036, 1105, 1288}
Base 10 up to 50000: 65 First 20: {9, 33, 91, 99, 259, 451, 481, 561, 657, 703, 909, 1233, 1729, 2409, 2821, 2981, 3333, 3367, 4141, 4187}
Base 11 up to 50000: 61 First 20: {10, 15, 70, 133, 190, 259, 305, 481, 645, 703, 793, 1105, 1330, 1729, 2047, 2257, 2465, 2821, 4577, 4921}
Base 12 up to 50000: 91 First 20: {65, 91, 133, 143, 145, 247, 377, 385, 703, 1045, 1099, 1105, 1649, 1729, 1885, 1891, 2041, 2233, 2465, 2701}
Base 13 up to 50000: 68 First 20: {4, 6, 12, 21, 85, 105, 231, 244, 276, 357, 427, 561, 1099, 1785, 1891, 2465, 2806, 3605, 5028, 5149}
Base 14 up to 50000: 69 First 20: {15, 39, 65, 195, 481, 561, 781, 793, 841, 985, 1105, 1111, 1541, 1891, 2257, 2465, 2561, 2665, 2743, 3277}
Base 15 up to 50000: 42 First 20: {14, 341, 742, 946, 1477, 1541, 1687, 1729, 1891, 1921, 2821, 3133, 3277, 4187, 6541, 6601, 7471, 8701, 8911, 9073}
Base 16 up to 50000: 145 First 20: {15, 51, 85, 91, 255, 341, 435, 451, 561, 595, 645, 703, 1105, 1247, 1261, 1271, 1285, 1387, 1581, 1687}
Base 17 up to 50000: 63 First 20: {4, 8, 9, 16, 45, 91, 145, 261, 781, 1111, 1228, 1305, 1729, 1885, 2149, 2821, 3991, 4005, 4033, 4187}
Base 18 up to 50000: 98 First 20: {25, 49, 65, 85, 133, 221, 323, 325, 343, 425, 451, 637, 931, 1105, 1225, 1369, 1387, 1649, 1729, 1921}
Base 19 up to 50000: 93 First 20: {6, 9, 15, 18, 45, 49, 153, 169, 343, 561, 637, 889, 905, 906, 1035, 1105, 1629, 1661, 1849, 1891}
Base 20 up to 50000: 66 First 20: {21, 57, 133, 231, 399, 561, 671, 861, 889, 1281, 1653, 1729, 1891, 2059, 2413, 2501, 2761, 2821, 2947, 3059}
</pre>
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