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Let p(k) denote k-th prime; consider solutions (n,m) of the Diophantine system {p(p(n)+1)-p(p(n))=2, p(p(n))-6.p(p(m))=-1} (*); sequence gives values of m.
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%I #2 Mar 31 2012 20:30:48

%S 1,92,105,106,689,1138,1280,1373,1432,1600,1960,2416,2683,2846,2968,

%T 3042,3091,4694,4884,5191,5284,5642,6905,6949,7074,7095,7213,7274,7418

%N Let p(k) denote k-th prime; consider solutions (n,m) of the Diophantine system {p(p(n)+1)-p(p(n))=2, p(p(n))-6.p(p(m))=-1} (*); sequence gives values of m.

%C ( p(p(n)), p(p(n)+1) ) is twin prime pair with average 6.p(p(m)) (A060213).

%e n = 402 and m = 105 satisfy system (*) at the primes p(p(n)) = 24917 and p(p(m)) = 4153; n = 33521 and m = 7418 satisfy system (*) at the primes p(p(n)) = 5730617 and p(p(m)) = 955103.

%Y A060213

%K nonn

%O 0,2

%A _Lubomir Alexandrov_, Nov 26 2001