A260354 Numbers n such that 2*n^2+11, 2*(n+1)^2+11 and 2*(n+2)^2+11 are prime.

0, 1, 2, 3, 4, 5, 6, 7, 8, 18, 28, 29, 41, 69, 94, 151, 189, 276, 277, 290, 367, 497, 578, 579, 580, 617, 618, 619, 620, 744, 810, 887, 903, 939, 1048, 1049, 1108, 1124, 1125, 1172, 1303, 1304, 1305, 1399, 1420, 1449, 1614, 1761, 1790, 1838, 1861, 1865, 1971

Offset

1,3

Comments

n, n+1 and n+2 are terms in A092968, i.e., n and n+1 are terms in A260352.

Links

Zak Seidov, Table of n, a(n) for n = 1..10000

Mathematica

Select[Range[0, 2000], PrimeQ[2 #^2 + 11] && PrimeQ[2 (# + 1)^2 + 11] && PrimeQ[2 (# + 2)^2 + 11] &] (* Vincenzo Librandi, Jul 26 2015 *)

Prog

(Magma) [n: n in [0..3000]| IsPrime( 2*n^2+11) and IsPrime(2*(n+1)^2+11) and IsPrime(2*(n+2)^2+11)]; // Vincenzo Librandi, Jul 26 2015

Crossrefs

Subsequence of A260352 and A092968.

Sequence in context: A039050 A250043 A366103 * A114799 A055557 A173577

Adjacent sequences: A260351 A260352 A260353 * A260355 A260356 A260357

Keyword

nonn,easy

Author

Zak Seidov, Jul 23 2015

Status

approved