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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
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
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
KEYWORD
nonn
AUTHOR
Pierre CAMI, Apr 20 2009
STATUS
approved