A139075 Primes p arising in A139074.

3, 2, 3, 31, 1009, 2, 5702401, 631

Offset: 1

Author

Artur Jasinski, Apr 08 2008, Apr 21 2008

Keywords

• nonn

Comments

a(23) = (23+1579!)/23. - Andrew V. Sutherland, Apr 11 2008.

Smallest mother factorial prime p of order n, i.e. smallest prime of the form (p!+n)/n where p is prime.

For smallest daughter factorial prime p of order n see A139074.

For smallest father factorial prime p of order n see A139207.

For smallest son factorial prime p of order n see A139206.

a(9)=26737!/9+1 is a 106758 digit (probable) prime. Easily calculated but too large to enter here a(10)=13, a(11)=566092801, a(12)=11. [Robert Price, Jan 19 2011]

Crossrefs

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

Programs

Mathematica

a = {}; Do[k = 1; While[ ! PrimeQ[(Prime[k]! + n)/n], k++ ]; AppendTo[a, Prime[(Prime[k]! + n)/n]], {n, 1, 8}]; a