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A159704 Number of different pairs of primes p,q such that : p<q, p is a cousin prime of p-4 or p+4 and q is a cousin prime of q-4 or q+4, 2*n=p+q 3
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 4, 2, 2, 4, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 4, 2, 2, 4, 1, 2, 2, 1, 1, 2, 2, 1, 4, 3, 2, 6, 4, 3, 8, 3, 4, 6, 1, 3, 2, 2, 1, 4, 3, 2, 6, 4, 3, 8, 1, 4, 2, 0, 1, 0, 2, 0, 4, 3, 2, 6, 3, 3, 6, 2, 3, 4, 1, 2, 2, 1, 1, 2, 3, 1, 6, 4, 3, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

conjecture : for n>5573 there is at least one such pair of primes p+q=2*n

LINKS

Pierre CAMI, Table of n, a(n) for n=1..50000

EXAMPLE

11+13=24,7+17=24 so for n=12 2 pairs p,q such that p+q=2*12, p<q p and q have a cousin prime

CROSSREFS

Sequence in context: A027199 A140218 A193805 * A101428 A307223 A321787

Adjacent sequences:  A159701 A159702 A159703 * A159705 A159706 A159707

KEYWORD

nonn

AUTHOR

Pierre CAMI, Apr 20 2009

STATUS

approved

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Last modified April 21 13:53 EDT 2021. Contains 343154 sequences. (Running on oeis4.)