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

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

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