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A096986
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Numbers k such that k*k! + (smallest prime > k) is prime.
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2
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1, 2, 3, 4, 5, 6, 7, 8, 23, 29, 30, 31, 40, 164, 176, 189, 218, 370, 597, 603, 1473, 1901, 2176, 2436, 2548, 2732, 4758, 5574
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OFFSET
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1,2
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COMMENTS
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Note that Maple, PARI etc. have different notions of what "next prime" means!
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LINKS
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EXAMPLE
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8 is in the sequence because 8*8!+ 11 is prime.
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MATHEMATICA
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<< NumberTheory`NumberTheoryFunctions`; v={}; Do[If[PrimeQ [n*n!+NextPrime[n]], v=Append[v, n]; Print[v]], {n, 2400}]
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PROG
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(PARI) isok(n) = isprime(n*n! + nextprime(n+1)); \\ Michel Marcus, Sep 13 2018
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CROSSREFS
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KEYWORD
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more,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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