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A096986 Numbers n such that n*n! + (smallest prime > n) is prime. 2
1, 2, 3, 4, 5, 6, 7, 8, 23, 29, 30, 31, 40, 164, 176, 189, 218, 370, 597, 603, 1473, 1901, 2176, 2436, 2748, 2732, 4758, 5574 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

Next term is > 7500. - Jacques Tramu, Sep 12 2018

LINKS

Table of n, a(n) for n=1..28.

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}]

PROG

(PARI) isok(n) = isprime(n*n! + nextprime(n+1)); \\ Michel Marcus, Sep 13 2018

CROSSREFS

Cf. A096985, A090704, A049433, A108270

Sequence in context: A269355 A269357 A335900 * A031097 A162234 A024651

Adjacent sequences:  A096983 A096984 A096985 * A096987 A096988 A096989

KEYWORD

more,nonn

AUTHOR

Farideh Firoozbakht, Jul 31 2004

EXTENSIONS

a(24)-a(27) from Jacques Tramu, Sep 12 2018

STATUS

approved

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Last modified September 24 09:10 EDT 2021. Contains 347630 sequences. (Running on oeis4.)