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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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Task/Pierpont-primes/Mathematica/pierpont-primes.math Normal file
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ClearAll[FindUpToMax]
FindUpToMax[max_Integer, b_Integer] := Module[{res, num},
res = {};
Do[
num = 2^u 3^v + b;
If[PrimeQ[num], AppendTo[res, num]]
,
{u, 0, Ceiling@Log[2, max]}
,
{v, 0, Ceiling@Log[3, max]}
];
res //= Select[LessEqualThan[max]];
res //= Sort;
res
]
Print["Piermont primes of the first kind:"]
Take[FindUpToMax[10^10, +1], UpTo[50]]
Print["Piermont primes of the second kind:"]
Take[FindUpToMax[10^10, -1], UpTo[50]]
Print["250th Piermont prime of the first kind:"]
Part[FindUpToMax[10^34, +1], 250]
Print["250th Piermont prime of the second kind:"]
Part[FindUpToMax[10^34, -1], 250]
Print["1000th Piermont prime of the first kind:"]
Part[FindUpToMax[10^130, +1], 1000]
Print["1000th Piermont prime of the second kind:"]
Part[FindUpToMax[10^150, -1], 1000]