A065050 Prime numbers in the triangle of Eulerian numbers.

11, 1013, 15619, 16369, 65519, 478271, 13824739, 67108837, 1125899906842573, 72057594037927879, 1180591620717411303353, 2153693845981967454679177, 12086992684284175368032851, 22528399544594441658590663774175461

Offset

1,1

Links

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

Example

Pairs (n, k) such that Eulerian(n, k) is prime are (4, 2), (10, 2), (8, 4), (14, 2), (16, 2), (12, 3), (15, 3), (26, 2), (50, 2), (56, 2), (70, 2), (51, 3), (27, 9), (72, 3), (116, 2), (87, 3), (183, 3).

Prog

(PARI) Eulerian(n, k)=sum(j=0, k, (-1)^j*(k-j)^n*binomial(n+1, j));
lista(nn) = {my(list=List()); for (n=1, nn, for (k=1, n, if (ispseudoprime(p=Eulerian(n, k)), listput(list, p)); ); ); Vec(Set(list)); } \\ Michel Marcus, May 25 2022

Crossrefs

Cf. A008292, A030196.

Sequence in context: A267606 A303786 A015511 * A099440 A073903 A069710

Adjacent sequences: A065047 A065048 A065049 * A065051 A065052 A065053

Keyword

nonn

Author

Henry Bottomley, Nov 06 2001

Extensions

More terms from Randall L Rathbun, Jan 21 2002

Status

approved