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A096986 Numbers n such that n*n! + (smallest prime > n) is prime. +0
3
1, 2, 3, 4, 5, 6, 7, 8, 23, 29, 30, 31, 40, 164, 176, 189, 218, 370, 597, 603, 1473, 1901, 2176 (list; graph; listen)
OFFSET

1,2

COMMENT

Note that Maple, Pari etc. have different notions of what "next prime" means!

EXAMPLE

8 is in the sequence because 8*8!+ 11 is prime.

MATHEMATICA

<< NumberTheory`NumberTheoryFunctions`; v={}; Do[If[PrimeQ [n*n!+NextPrime[n]], v=Append[v, n]; Print[v]], {n, 2400}]

CROSSREFS

Cf. A096985, A090704, A049433, A108270

Adjacent sequences: A096983 A096984 A096985 this_sequence A096987 A096988 A096989

Sequence in context: A037343 A134942 A053408 this_sequence A031097 A024651 A004848

KEYWORD

more,nonn

AUTHOR

Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Jul 31 2004

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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