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%I #7 Sep 23 2019 11:00:10
%S 3,5,5,7,7,11,13,13,13,17,17,23,29,31,31,43,43,47,53,53,61,73,83,89,
%T 89,103,131,131,173,223,227,241,251,257,311,331,359,443,523
%N Sequence of primes P(i) such that P=(j*P(i)#)/2 - 2 and P+4 are consecutive primes, where j is odd, 0 < j < P(i+1) and P(i) denotes i-th prime.
%C I think I have a proof that the sequence is infinite.
%e (3*2*3*5*7*11*13*17)/2 - 2 = 765763 and (3*2*3*5*7*11*13*17)/2 + 2 = 765767 are gap 4 primes, with j=3, i=7, P(i)=17.
%Y Cf. A087820, A087822.
%K nonn,more
%O 0,1
%A _Pierre CAMI_, Oct 06 2003
%E Edited by _Ray Chandler_, Oct 19 2003
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