A065505 - OEIS

A065505

Let p(k) denote k-th prime; consider solutions (p(n),p(m)) of Diophantine equation p(p(n)+1)-6.p(p(m))=1 (*), where p(p(n)) belongs to A060213 and p(p(m))=(p(p(n))+1)/6; sequence gives values of p(n).

%I #2 Mar 31 2012 20:30:48

%S 7,2309,2753,2789,26183,46933,53597,58411,61357,69481,87691,111487,

%T 124991,134327,140659,144651,147551,236519,247711,164643,270223,291359

%N Let p(k) denote k-th prime; consider solutions (p(n),p(m)) of Diophantine equation p(p(n)+1)-6.p(p(m))=1 (*), where p(p(n)) belongs to A060213 and p(p(m))=(p(p(n))+1)/6; sequence gives values of p(n).

%e p(n)=395581 and p(m)=75277 satisfy equation (*) at the primes p(p(n))=5730617 and p(p(m))=955103.

%Y A060213

%K nonn

%O 0,1

%A _Lubomir Alexandrov_, Nov 25 2001