A103564 -id:A103564 - cp's OEIS frontend

A103565 Primes of the form 3*p^2+2, where p is prime.

29, 149, 509, 8429, 13469, 28229, 154589, 207509, 230189, 340709, 711509, 759029, 897629, 930749, 1127309, 1142069, 1255829, 1399469, 1585589, 2633909, 2724629, 2863589, 3583949, 4892189, 5282789, 6108989, 7517669, 8039309, 8296709, 8906189, 10524389

Offset: 1

Zak Seidov, Mar 23 2005

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

[a: p in PrimesUpTo(2000)|IsPrime(a) where a is 3*p^2 + 2]; // Vincenzo Librandi, Mar 21 2013

Select[(3#^2+2)&/@Prime[Range[500]],PrimeQ] (* Harvey P. Dale, Nov 04 2011 *)

a(n) = 2+3*(A103564(n))^2.

Corrected by Harvey P. Dale, Nov 04 2011

A257163 Primes of the form 3n^2 + 2.

Original entry on oeis.org

2, 5, 29, 149, 509, 677, 1877, 3677, 8429, 9749, 11909, 13469, 17789, 22709, 27077, 28229, 45389, 46877, 53069, 70229, 72077, 81677, 100469, 102677, 114077, 128549, 141269, 154589, 180077, 192029, 195077, 207509, 223589, 230189, 261077, 312989, 340709, 352949, 395309, 399677, 426389

Offset: 1

Juri-Stepan Gerasimov, Apr 16 2015

Two together with A027864(n).

Generated by n = 0, 1, 3, 7, 13, 15, 25, 35, 53, 57, ...

			2 is in this sequence because 3*0^2 + 2 = 2 and 2 is prime.

Cf. A103564, A027864. Primes of the form k*n^2 + k - 1: A090698, this sequence, A121825, A201483, A201600, A201607, A201704.

[a: n in [0..400] | IsPrime(a) where a is (3*n^2+2)];

Select[Table[3 n^2 + 2, {n, 0, 400}], PrimeQ] (* Vincenzo Librandi, Apr 17 2015 *)

select(isprime, vector(100, n, 3*n^2-6*n+5)) \\ Charles R Greathouse IV, Apr 17 2015

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A103565 Primes of the form 3*p^2+2, where p is prime.

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A257163 Primes of the form 3n^2 + 2.

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