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A188914 a(n) = n*n! + 1 = (n+1)! - n! + 1. 1
2, 5, 19, 97, 601, 4321, 35281, 322561, 3265921, 36288001, 439084801, 5748019201, 80951270401, 1220496076801, 19615115520001, 334764638208001, 6046686277632001, 115242726703104001, 2311256907767808001 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

It is unknown if all numbers of the form n*n!+1 are squarefree. n*n!+1 is squarefree for 0 < n < 52. It is unknown if there exist infinitely many primes of the form n*n!+1. For primes in this sequence, see A049984.

LINKS

Table of n, a(n) for n=1..19.

MATHEMATICA

Table[(n*Factorial[n])+1, {n, 1, 30}]

CROSSREFS

Cf. A001563, A049984, A094258.

Sequence in context: A020109 A020015 A291061 * A049984 A052866 A007003

Adjacent sequences:  A188911 A188912 A188913 * A188915 A188916 A188917

KEYWORD

nonn,easy,nice

AUTHOR

John M. Campbell, Apr 17 2011

STATUS

approved

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Last modified April 18 14:46 EDT 2021. Contains 343089 sequences. (Running on oeis4.)