A255608 Numbers n such that 36n+11, 36(n+1)+11, 36(n+2)+11 and 36(n+3)+11 are prime.

25, 40, 1390, 2965, 3730, 3835, 4120, 4225, 4890, 6165, 6200, 8020, 9035, 9720, 9825, 10765, 12235, 12710, 13740, 15545, 20320, 20880, 21215, 22805, 24625, 25015, 26220, 26325, 31695, 33970, 34305, 34655, 35845, 36215, 36735, 40430, 41740, 42055, 43210, 46590

Offset

1,1

Comments

All terms are multiples of 5.

In all cases 36(n+4)+11 is a multiple of 5 and hence not prime. - Zak Seidov, Mar 07 2015

Links

Table of n, a(n) for n=1..40.

Maple

A255608:=n->`if`(isprime(36*n+11) and isprime(36*(n+1)+11) and isprime(36*(n+2)+11) and isprime(36*(n+3)+11), n, NULL): seq(A255608(n), n=1..10^5); # Wesley Ivan Hurt, Mar 03 2015

Mathematica

Select[Range@50000, AllTrue[36 Range[#, # + 3] + 11, PrimeQ] &] (* Michael De Vlieger, Mar 03 2015, Version 10 *)

Prog

(PARI) select(n->isprime(36*n+11) && isprime(36*(n+1)+11) && isprime(36*(n+2)+11) && isprime(36*(n+3)+11), vector(50000, n, n)) \\ Colin Barker, Mar 01 2015
(Magma) [n: n in [0..50000] | forall{36*n+i: i in [11, 47, 83, 119] |  IsPrime(36*n+i)}]; // Vincenzo Librandi, Mar 03 2015

Crossrefs

Subsequence of A215761.

Sequence in context: A354722 A354723 A066844 * A309623 A242074 A366428

Adjacent sequences: A255605 A255606 A255607 * A255609 A255610 A255611

Keyword

nonn

Author

Zak Seidov, Mar 01 2015

Status

approved