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

Author

Artur Jasinski, Dec 27 2006

Keywords

• nonn

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

Crossrefs

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

Programs

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

Extensions

Edited and extended by Klaus Brockhaus, Jan 11 2007