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A096985 Numbers n such that n*n! - NextPrime[n] is prime. 1
3, 5, 8, 10, 12, 13, 23, 26, 30, 33, 38, 114, 162, 219, 265, 268, 277, 344, 463, 651, 877, 1128, 2466, 2594 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The corresponding next prime has more than 6239 digits.

LINKS

Table of n, a(n) for n=1..24.

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, 2150}]

CROSSREFS

Cf. A096986, A090704, A049433.

Sequence in context: A189377 A073608 A155945 * A206909 A138829 A003265

Adjacent sequences:  A096982 A096983 A096984 * A096986 A096987 A096988

KEYWORD

more,nonn

AUTHOR

Farideh Firoozbakht, Jul 31 2004

EXTENSIONS

More terms from Ryan Propper, Jan 01 2008

STATUS

approved

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Last modified September 17 07:35 EDT 2021. Contains 347478 sequences. (Running on oeis4.)