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A139075 Primes p arising in A139074. 30
3, 2, 3, 31, 1009, 2, 5702401, 631 (list; graph; refs; listen; history; text; internal format)
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]

LINKS

Table of n, a(n) for n=1..8.

MATHEMATICA

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

CROSSREFS

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

Sequence in context: A091806 A248244 A139170 * A089750 A109591 A143932

Adjacent sequences:  A139072 A139073 A139074 * A139076 A139077 A139078

KEYWORD

nonn

AUTHOR

Artur Jasinski, Apr 08 2008, Apr 21 2008

STATUS

approved

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Last modified May 17 09:20 EDT 2022. Contains 353741 sequences. (Running on oeis4.)