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
Keywords
Examples
15 + {2, 4, 8, 16, 32, 64} = {17, 19, 23, 31, 47, 79} all primes.
Links
- Zak Seidov, Table of n, a(n) for n = 1..157
Programs
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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