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A344963
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Numbers k such that (2*k+1)*k!+1 is prime.
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1
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0, 2, 3, 5, 11, 18, 68, 77, 124, 173, 205, 293, 1037, 1530, 1905, 2342, 3401, 4372, 4679, 5385
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OFFSET
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1,2
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COMMENTS
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a(21) > 10^4.
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LINKS
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Table of n, a(n) for n=1..20.
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MAPLE
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select(k -> isprime((2*k+1)*k!+1), [$0 .. 300])[];
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MATHEMATICA
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Do[If[PrimeQ[(2*k + 1)*Factorial[k] + 1], Print[k]], {k, 0, 3000}]
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PROG
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(PARI) for(k=0, 3000, if(isprime((2*k+1)*k!+1), print1(k", ")))
(SageMath)
for k in range(3000):
if is_prime((2*k+1)*factorial(k) + 1):
print(k)
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CROSSREFS
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Cf. A002981, A344991.
Sequence in context: A057652 A025067 A024371 * A231479 A084758 A087582
Adjacent sequences: A344960 A344961 A344962 * A344964 A344965 A344966
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KEYWORD
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nonn,hard,more
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AUTHOR
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Reza K Ghazi, Jun 07 2021
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STATUS
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approved
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