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%I #8 May 13 2013 01:54:09
%S 11,19,41,53,43,103,59,67,113,83,137,149,107,173,433,131,139,443,233,
%T 163,257,179,281,293,1019,211,439,227,353,487,251,389,401,827,283,
%U 1021,449,307,631,647,331,509,347,1601,727,557,379,1163,593,2423,617,419,641
%N Smallest prime of the form (2n+1)p + 2n with p prime.
%C The associated p are in A136027.
%H Charles R Greathouse IV, <a href="/A136026/b136026.txt">Table of n, a(n) for n = 1..10000</a>
%e a(1)=11 because 11 is smallest prime p such that (p-2)/3 is prime.
%e a(2)=19 because 19 is smallest prime p such that (p-4)/5 is prime.
%e a(3)=41 because 41 is smallest prime p such that (p-6)/7 is prime.
%t a = {}; Do[k = 1; While[ !PrimeQ[(Prime[k] - 2n)/(2n + 1)], k++ ]; AppendTo[a, Prime[k]], {n, 1, 100}]; a
%o (PARI) a(n)=my(t);forprime(p=2,,if(isprime(t=2*n*(p+1)+p),return(t))) \\ _Charles R Greathouse IV_, Mar 21 2013
%Y Cf. A136019, A136020, A136027.
%K nonn,easy
%O 1,1
%A _Artur Jasinski_, Dec 10 2007
%E Edited by _R. J. Mathar_, May 17 2009