A229500 - OEIS

%I #17 Oct 02 2013 13:17:14

%S 7,9,23,47,79,81,167,359,839,1367,1847,2207,2399,3719,5039,6561,7919,

%T 10607,11447,14639,16127,17159,19319,28559,29927,36479,44519,49727,

%U 54287,57119,66047,85847,97967,113567,128879,177239,196247,201599,218087,241079,273527

%N Smaller of Fermi-Dirac twin primes (A229064) which are not the smaller of twin primes (A001359).

%C The sequence conjecturally infinite. All squares of the sequence are 9, 81, 6561,... and have the form 3^(2^k), k>=1. However, we conjecture that there is only a finite number of them, or, the same, there is only a finite number of primes of the form 3^(2^k) + 2.

%H Peter J. C. Moses, <a href="/A229500/b229500.txt">Table of n, a(n) for n = 1..1200</a>

%Y Cf. A229064, A001359.

%K nonn

%O 1,1

%A _Vladimir Shevelev_, Sep 25 2013

%E More terms from _Peter J. C. Moses_, Sep 25 2013