A139073 - OEIS

A139073

Smallest prime number of the form (n+k!)/n.

2, 2, 3, 7, 1009, 2, 5702401, 631, 4481, 13, 566092801, 3, 23452949585516450807808000001, 259201, 337, 2521, 3553839003727872684550301886383176323956736000000001, 41

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..18.

MATHEMATICA

a = {}; Do[ k = 1; While[ ! PrimeQ[ (k! + n)/n ], k++ ]; AppendTo[ a, (k! + n)/n ], {n, 1, 100} ]; a [Corrected May 06 2008]

PROG

(PARI) a(n)=my(k, t); until(denominator(t=k++!/n+1)==1&&ispseudoprime(t), ); t \\ Charles R Greathouse IV, Jul 19 2011

CROSSREFS

Cf. A082672, A089085, A089130, A117141, A007749, A139056-A139066, A020458, A139068, A137390, A139070-A139075, A136019, A136020, A136026, A136027.

Sequence in context: A232542 A143673 A089543 * A329955 A099870 A221877

Adjacent sequences: A139070 A139071 A139072 * A139074 A139075 A139076

KEYWORD

nonn

AUTHOR

Artur Jasinski, Apr 07 2008

STATUS

approved