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

Author

Henry Bottomley, Nov 06 2001

Keywords

• nonn

Examples

			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).
		

Links

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

Crossrefs

Cf. A008292, A030196.

Programs

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

Extensions

More terms from Randall L Rathbun, Jan 21 2002