A262366 a(n) is the n-th prime whose binary expansion begins with the binary expansion of n.

2, 5, 13, 67, 43, 107, 127, 263, 307, 349, 373, 773, 839, 907, 991, 1063, 1109, 1201, 1277, 1321, 2713, 2819, 2963, 3119, 3229, 3371, 3517, 3691, 3779, 3943, 4051, 4217, 8461, 8719, 8963, 9241, 9497, 9767, 10039, 10303, 10613, 10799, 11159, 11317, 11657, 11923

Offset: 1

Author

Alois P. Heinz, Sep 20 2015

Keywords

• nonn
• base

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..5000
• Index entries for primes involving decimal expansion of n

Crossrefs

Main diagonal of A262365.

Cf. A077345.

Programs

Maple

u:= (h, t)-> select(isprime, [seq(h*2^t+k, k=0..2^t-1)]):
A:= proc(n, k) local l, p;
      l:= proc() [] end; p:= proc() -1 end;
      while nops(l(k)) A(n$2):
seq(a(n), n=1..60);