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A139075
Primes p arising in A139074.
30
3, 2, 3, 31, 1009, 2, 5702401, 631
OFFSET
1,1
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]
MATHEMATICA
a = {}; Do[k = 1; While[ ! PrimeQ[(Prime[k]! + n)/n], k++ ]; AppendTo[a, Prime[(Prime[k]! + n)/n]], {n, 1, 8}]; a
KEYWORD
nonn
AUTHOR
Artur Jasinski, Apr 08 2008, Apr 21 2008
STATUS
approved