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A255608
Numbers n such that 36n+11, 36(n+1)+11, 36(n+2)+11 and 36(n+3)+11 are prime.
1
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
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
KEYWORD
nonn
AUTHOR
Zak Seidov, Mar 01 2015
STATUS
approved