A145479 Primes p such that (31+p)/2 is prime.

3, 7, 31, 43, 103, 127, 163, 223, 271, 283, 331, 367, 523, 631, 643, 727, 787, 811, 883, 967, 1051, 1063, 1123, 1171, 1231, 1291, 1423, 1447, 1471, 1483, 1543, 1627, 1723, 1783, 1951, 1987, 2011, 2143, 2203, 2311, 2371, 2467, 2551, 2731, 2767, 2887, 3067

Offset

1,1

Comments

All terms are congruent to 3 mod 4 and (with the exception of the first term) to 7 mod 12.

Links

Ivan Neretin, Table of n, a(n) for n = 1..10000

Mathematica

aa = {}; k = 31; Do[If[PrimeQ[(k + Prime[n])/2], AppendTo[aa, Prime[n]]], {n, 1, 500}]; aa
Select[Prime[Range[500]], PrimeQ[(31+#)/2]&] (* Harvey P. Dale, Feb 05 2012 *)

Prog

(PARI) list(n)=my(t=1, p, i=1); while(i<n, p=prime(i); i=i+1; if(p>2&&isprime((31+p)/2), print1(p, ", "))) \\ Anders Hellström, Jan 23 2017

Crossrefs

Cf. A092109, A145471, A145472, A145473, A145474, A145475, A145476, A145477, A145478, A145479, A155480.

Sequence in context: A128436 A213899 A034915 * A077315 A365423 A080168

Adjacent sequences: A145476 A145477 A145478 * A145480 A145481 A145482

Keyword

nonn

Author

Artur Jasinski, Oct 11 2008

Status

approved