A118097 - OEIS

%I #4 Mar 30 2012 18:40:36

%S 29,127,24391,161053,357913,571789,1442899,5177719,18191449,30080233,

%T 73560061,80062993,118370773,127263529,131872231,318611989,344472103,

%U 440711083,461889919,590589721,756058033,865523179,1095912793

%N Primes of form 2 + odd prime to odd prime power.

%C A prime p for which p + 2 is prime is in A001359 Lesser of twin primes. This sequence is a generalization of that, but with prime to prime power substituting for prime (and excluding 2 from base and exponent).

%F {p^q + 2 where p is in A065091 and q is in A065091}.

%e a(1) = 29 = 3^3 + 2.

%e a(2) = 127 = 5^3 + 2.

%e a(3) = 24391 = 29^3 + 2.

%e a(4) = 161053 = 11^5 + 2.

%e a(5) = 357913 = 71^3 + 2.

%e a(6) = 571789 = 83^3 + 2.

%e 1174711139839 is in this sequence because 1174711139839 = 53^7 + 2 is prime.

%Y Cf. A000040, A000961, A001359, A030078, A050997, A053810, A065091.

%K easy,nonn

%O 1,1

%A _Jonathan Vos Post_, May 11 2006

%E Extended by _Ray Chandler_, Oct 28 2008