A152079 Primes p such that A000695(p) are also prime.

3, 5, 17, 23, 29, 43, 47, 53, 61, 83, 107, 139, 149, 151, 173, 179, 181, 191, 229, 233, 239, 257, 263, 269, 277, 307, 353, 379, 383, 389, 409, 439, 443, 449, 479, 503, 563, 569, 631, 647, 653, 661, 673, 743, 787, 823, 863, 877, 929, 967, 983

Offset: 1

Author

Vladimir Shevelev, Nov 23 2008

Keywords

• nonn

Comments

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

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

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

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

Programs

PARI

A000695(n)=n=binary(n); sum(i=1, #n, n[i]*4^(#n-i))
is(n)=isprime(A000695(n)) && isprime(n) \\ Charles R Greathouse IV, Apr 28 2015

Extensions

More terms derived from b000695.txt by Michel Marcus, Jun 02 2013