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A308829
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Numbers k such that 3^k - k + 1 is prime.
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0
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0, 1, 5, 27, 45, 47, 75, 8895, 11405, 29517, 84615, 218307
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OFFSET
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1,3
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COMMENTS
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Sieving can be limited to odd values of k, because 3^k - k + 1 is even when k is even. In fact, if k is even, 3^k - k is odd and the successor is even.
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LINKS
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MATHEMATICA
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ListA[k_] := Block[{seq = {}, n = 0, i = 0}, While[Length[seq] < k, {n = 3^i - i + 1, If[PrimeQ[n], AppendTo[seq, i]], i += 1}]; seq]
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PROG
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(Sage)
def list_a(k):
return [i for i in range(k) if (3**i) - i + 1 in Primes()]
(PARI) isok(k) = isprime(3^k - k + 1); \\ Jinyuan Wang, Aug 03 2019
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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STATUS
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approved
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