A126557 Primes in A126556.

174737, 224327, 433813, 541447, 787243, 969667, 980081, 1080787, 1286581, 1372979, 1534513, 1567037, 1570649, 1577189, 1659673, 1726993, 1931291, 2242883, 2282041, 2415557, 2460827, 3162503, 3711047, 4090787, 4450373

Offset

1,1

Comments

Prime interprimes of third order.

Primes that are the arithmetic mean of two consecutive prime interprimes of second order; primes of the form (A126555(k)+A126555(k+1))/2.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Prog

(PARI) {m=5000000; a=0; g=0; p=2; q=3; r=5; while(r<=m, if((p+r)/2==q, if(a>0, b=(a+q)/2; if(isprime(b), if(g>0, if(isprime(h=(g+b)/2), print1(h, ", "))); g=b)); a=q); p=q; q=r; r=nextprime(r+1))} \\ Klaus Brockhaus, Jan 11 2007

Crossrefs

Cf. A006562 (balanced primes), A024675 (interprimes), A126554 (interprimes of second order), A126555 (prime interprimes of second order), A126556 (interprimes of third order).

Sequence in context: A029830 A202491 A257359 * A342325 A236116 A224253

Adjacent sequences: A126554 A126555 A126556 * A126558 A126559 A126560

Keyword

nonn

Author

Artur Jasinski, Dec 27 2006

Extensions

Edited and extended by Klaus Brockhaus, Jan 11 2007

Status

approved