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

Author

Zak Seidov, Jul 23 2015

Keywords

• nonn
• easy

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

Crossrefs

Subsequence of A260352 and A092968.

Programs

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

Mathematica

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