A144203 Number of pairs p,q with p < q such that 30*r(n)=p+q+6 and p p+6, q q+6 consecutive primes, r(i)=i-th prime

1, 2, 1, 4, 5, 3, 5, 4, 4, 4, 6, 4, 2, 7, 5, 9, 8, 11, 9, 6, 6, 9, 7, 8, 8, 13, 7, 6, 8, 9, 10, 6, 10, 12, 8, 16, 17, 11, 11, 16, 13, 7, 9, 10, 16, 13, 12, 14, 17, 17, 16, 17, 15, 14, 16, 16, 20, 15, 17, 17, 21, 13, 20, 17, 19, 17, 19, 19, 27, 16, 22, 19, 25, 10, 22, 25, 27, 13, 18, 30

Offset

1,2

Comments

The sequence is infinite and a(n)>0 so a proof of the infinity of the GAP six primes !!

Links

Pierre CAMI, Table of n, a(n) for n = 1..10000

Example

30*2=60 19+41=60 23+47=60 19,23 consecutive primes GAP 6 as 41,47 2=r(1) so a(1)=1

Crossrefs

A144160, A144202

Sequence in context: A210860 A099492 A359708 * A354699 A239806 A330402

Adjacent sequences: A144200 A144201 A144202 * A144204 A144205 A144206

Keyword

nonn

Author

Pierre CAMI, Sep 13 2008

Status

approved