A252783 Numbers n such that n + 15, n^2 + 15, n^3 + 15, n^4 + 15, n^5 + 15 and n^6 + 15 are all prime.

2, 4, 10830278, 11409622, 37189336, 41206834, 44438468, 65401492, 67135342, 85329104, 92243452, 110149004, 138651242, 182279216, 205680028, 216904744, 307575212, 309431906, 469311346, 490359076, 527228606, 529432582, 549804952, 572599934, 575037022, 596410214, 599921326, 616509454, 643063226, 679784492, 681657946, 722166524, 736641808, 766101998, 789147538, 824154506, 857134166, 870601984, 878365744, 914746816

Offset

1,1

Links

Zak Seidov, Table of n, a(n) for n = 1..157

Example

15 + {2, 4, 8, 16, 32, 64} = {17, 19, 23, 31, 47, 79} all primes.

Prog

(PARI) isok(n) = isprime(n+15) && isprime(n^2 + 15) && isprime(n^3 + 15) && isprime(n^4 + 15) && isprime(n^5 + 15) && isprime(n^6 + 15); \\ Michel Marcus, Dec 28 2014

Crossrefs

Cf. A253166, A253143, A253142, A086303, A121982.

Sequence in context: A138852 A062701 A341805 * A192225 A020821 A020773

Adjacent sequences: A252780 A252781 A252782 * A252784 A252785 A252786

Keyword

nonn

Author

Zak Seidov, Dec 27 2014

Status

approved