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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
2
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 !!
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
KEYWORD
nonn
AUTHOR
Pierre CAMI, Sep 13 2008
STATUS
approved