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 A126556 Arithmetic mean of two consecutive prime interprimes of second order: interprimes of third order. 5
 734, 2825, 5957, 10305, 13932, 15830, 18825, 25084, 30205, 32121, 34901, 40640, 47984, 70842, 102897, 120165, 125973, 130250, 138924, 145480, 148894, 154236, 161676, 167730, 174737, 180632, 183077, 191253, 210375, 224327, 232817, 246285 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) = (A126555(n)+A126555(n+1))/2. For primes in this sequence (prime interprimes of third order) see A126557. LINKS PROG (PARI) {m=250000; 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, print1(h=(g+b)/2, ", ")); 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). Sequence in context: A118055 A025356 A025348 * A174456 A096595 A083359 Adjacent sequences:  A126553 A126554 A126555 * A126557 A126558 A126559 KEYWORD nonn AUTHOR Artur Jasinski, Dec 27 2006 EXTENSIONS Edited by Klaus Brockhaus, Jan 11 2007 STATUS approved

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