%I
%S 2,3,5,11,13,17,19,29,37,41,43,53,59,71,73,97,101,107,109,127,137,149,
%T 167,179,191,193,197,227,233,239,269,281,311,331,347,349,419,431,439,
%U 461,463,467,509,521,569,599,617,641,647,659,739,757,769,809,821,827
%N Primes p with property that if p = prime(k), if the product of all composite numbers between prime(k) and prime(k+1) is one less than a prime.
%C Conjecture: the sequence is infinite. The smaller member of the twin prime pairs is a term.
%H Harvey P. Dale, <a href="/A088254/b088254.txt">Table of n, a(n) for n = 1..1000</a>
%e 19 is a member as 20*21*22 +1 = 9241 is a prime.
%t Transpose[Select[Partition[Prime[Range[200]],2,1],PrimeQ[Times@@ Range[ First[#]+1, Last[#]1]+1]&]][[1]] (* _Harvey P. Dale_, Oct 31 2011 *)
%K base,nonn
%O 1,1
%A _Amarnath Murthy_, Sep 27 2003
%E More terms from _David Wasserman_, Jul 25 2005
