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 A159708 Number a of different pairs of primes p,q (not consecutive) and such that p-6,p or p,p+6 are consecutive primes q-6,q or q,q+6 are consecutive primes and p+q=2*n 2
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 3, 0, 1, 4, 0, 0, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,38 COMMENTS Conjecture:if n>4093 there is at least one pair p,q as define such that p+q=2*n LINKS Pierre CAMI, Table of n, a(n) for n=1..50000 EXAMPLE 23+47=70,23,29 and 47,53 consecutive primes so a(35)=1 29+41=70 but 41,47 are not consecutive primes gap 6 23+53=76,29+47=76,76=2*38, 23,29 and 47,53 consecutive primes with gap 6, so a(38)=2 CROSSREFS Cf. A159700, A159704 Sequence in context: A281456 A284501 A281457 * A144625 A224772 A025442 Adjacent sequences:  A159705 A159706 A159707 * A159709 A159710 A159711 KEYWORD nonn AUTHOR Pierre CAMI, Apr 20 2009 STATUS approved

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Last modified January 19 06:28 EST 2021. Contains 340266 sequences. (Running on oeis4.)