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Consider pairs (p,k) such that p is a prime, q and r are the two primes following p, 0<k<q and k*primorial(p)+q and k*primorial(p)+r are consecutive primes; sequence gives values of p.
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%I #6 Oct 19 2017 03:14:22

%S 2,3,3,3,5,5,5,5,7,7,7,7,7,11,11,11,13,13,19,23,23,29,31,37,37,41,41,

%T 41,41,41,43,53,59,61,67,67,71,73,89,89,97,97,101,101,103,103,107,137,

%U 137,173,173,179,181,191,193,197,211,223,227,227,239,251,257,263,293,311

%N Consider pairs (p,k) such that p is a prime, q and r are the two primes following p, 0<k<q and k*primorial(p)+q and k*primorial(p)+r are consecutive primes; sequence gives values of p.

%e 3 occurs three times because k*(2*3)+5 and k*(2*3)+7 are consecutive primes for k=1,2,4.

%Y Cf. A002110, A087419.

%K nonn

%O 1,1

%A _Pierre CAMI_, Oct 22 2003

%E Edited by _Don Reble_, Nov 09 2005