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Primes p such that A000695(p) are also prime.
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%I #9 Apr 28 2015 12:52:54

%S 3,5,17,23,29,43,47,53,61,83,107,139,149,151,173,179,181,191,229,233,

%T 239,257,263,269,277,307,353,379,383,389,409,439,443,449,479,503,563,

%U 569,631,647,653,661,673,743,787,823,863,877,929,967,983

%N Primes p such that A000695(p) are also prime.

%C Numbers a(n) are in A077718. Conjecture: The sequence contains infinitely many terms.

%C Supporting the conjecture, there are 8398 terms up to a million, 56915 up to 10 million, 407875 terms up to 100 million, and 3135962 terms up to a billion. - _Charles R Greathouse IV_, Apr 28 2015

%H Charles R Greathouse IV, <a href="/A152079/b152079.txt">Table of n, a(n) for n = 1..10000</a>

%o (PARI) A000695(n)=n=binary(n); sum(i=1, #n, n[i]*4^(#n-i))

%o is(n)=isprime(A000695(n)) && isprime(n) \\ _Charles R Greathouse IV_, Apr 28 2015

%Y Cf. A000695, A077718, A152021, A152022, A152023, A152078.

%K nonn

%O 1,1

%A _Vladimir Shevelev_, Nov 23 2008

%E More terms derived from b000695.txt by _Michel Marcus_, Jun 02 2013