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A262366 a(n) is the n-th prime whose binary expansion begins with the binary expansion of n. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..5000

Index entries for primes involving decimal expansion of n

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))<n do p(k):= p(k)+1;

        l(k):= [l(k)[], u(k, p(k))[]]

      od: l(k)[n]

    end:

a:= n-> A(n$2):

seq(a(n), n=1..60);

CROSSREFS

Main diagonal of A262365.

Cf. A077345.

Sequence in context: A028856 A013497 A260232 * A128029 A215167 A349735

Adjacent sequences:  A262363 A262364 A262365 * A262367 A262368 A262369

KEYWORD

nonn,base

AUTHOR

Alois P. Heinz, Sep 20 2015

STATUS

approved

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Last modified December 5 06:52 EST 2021. Contains 349543 sequences. (Running on oeis4.)