A144202 Number of pairs p,q with p < q such that 30*r(n)=p+q+4 and p & p+4, q & q+4 cousin primes, where r(i)=i-th prime

2, 2, 4, 4, 4, 5, 8, 5, 5, 9, 6, 7, 4, 7, 8, 8, 7, 9, 7, 5, 7, 13, 11, 10, 9, 9, 14, 13, 7, 9, 13, 14, 12, 11, 16, 10, 9, 17, 14, 12, 12, 18, 18, 12, 12, 17, 9, 8, 10, 16, 16, 11, 16, 7, 23, 12, 15, 21, 9, 17, 22, 13, 13, 16, 20, 18, 21, 17, 17, 11, 14, 21, 19, 21, 18, 22, 17, 23, 23, 21, 17

Offset

1,1

Comments

The sequence is infinite and a(n)>0 so [provides] a proof of the infinity of cousin primes!

Links

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

Example

30*2=60 13+47=60 17+43=60 19+41=60 23+37=60 13,17 and 43,47 cousin primes as 19,23 and 37,47, 2=r(1) so a(1)=2

Crossrefs

Cf. A144160, A144203

Sequence in context: A302405 A115367 A084841 * A157887 A292264 A265263

Adjacent sequences: A144199 A144200 A144201 * A144203 A144204 A144205

Keyword

nonn

Author

Pierre CAMI, Sep 13 2008

Status

approved