A139804 Smallest m such that (3^n)! + m is prime.

1, 1, 17, 1, 701, 1367, 1487, 16057, 61151

Offset

0,3

Comments

Conjecture: There are no composite numbers in this sequence.

Links

Table of n, a(n) for n=0..8.

Example

(3^3)! + 1 = 10888869450418352160768000001 which prime. So a(3) is 1.

Mathematica

a[n_]:=Module[{m=0}, While[!PrimeQ[(3^n)!+m], m++]; m]; Array[a, 7, 0] (* James C. McMahon, Jul 06 2025 *)

Crossrefs

Sequence in context: A295576 A376019 A223519 * A321259 A352073 A159996

Adjacent sequences: A139801 A139802 A139803 * A139805 A139806 A139807

Keyword

nonn,more

Author

Cino Hilliard, May 22 2008

Status

approved