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

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

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 * A348194 A101428 A360171

Adjacent sequences: A159701 A159702 A159703 * A159705 A159706 A159707

Keyword

nonn

Author

Pierre CAMI, Apr 20 2009

Status

approved