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A341183
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Numbers k such that (30*k)^4 + 1 is prime.
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1
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3, 6, 7, 18, 20, 23, 27, 31, 39, 40, 55, 56, 57, 68, 75, 80, 88, 90, 101, 103, 113, 115, 116, 124, 126, 129, 132, 136, 139, 148, 153, 163, 165, 173, 194, 203, 211, 215, 218, 232, 260, 277, 284, 285, 288, 290, 293, 302, 309, 336, 344, 347, 357, 358, 362, 368, 377, 390, 394, 397, 401
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OFFSET
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1,1
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COMMENTS
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This is the third sequence in a family defined by this same condition, when generalized as (30*k)^(2^m).
A111175 and A138220 are the first and second sequences in this family, with m = 0 and m = 1, respectively.
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LINKS
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MATHEMATICA
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(* This program gives some results for each member of the family for m up to 10. *)
Do[resultk = {};
Do[
r = (30 k)^(2^m) + 1;
If[PrimeQ[r], AppendTo[resultk, k]];
, {k, 1, 1000}];
If[Length[resultk] > 0, Print[{m, 2^m, resultk}]], {m, 0, 10}]
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PROG
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(PARI) isok(k) = isprime((30*k)^4 + 1); \\ Michel Marcus, Feb 13 2021
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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