A108323 "Binary prime squares": squares whose binary expansions, read as decimal expansions, are primes.

1101001001, 10111110001, 101000101001, 101011111001, 1000110001001, 1110000111001, 1110110010001, 10110010111001, 100011100110001, 111111111111001, 1000101110001001, 1101011110111001, 1111101000001001, 10101100010010001

Offset

1,1

Comments

Another definition: numbers having only digits 1 and 0 which, read in base 10, are primes, and in base 2 are squares. Derived from A108322 from which the 0-terms have been removed.

Links

Table of n, a(n) for n=1..14.

Mathematica

fd2[n_]:=FromDigits[IntegerDigits[n, 2]]; fd2/@Select[Range[300]^2, PrimeQ[fd2[#]]&](* Harvey P. Dale, Jul 10 2012 *)

Crossrefs

Cf. A108322, A108324, A108325.

Sequence in context: A217610 A219319 A108322 * A154474 A096553 A104924

Adjacent sequences: A108320 A108321 A108322 * A108324 A108325 A108326

Keyword

easy,nonn,base

Author

Alexandre Wajnberg, Jun 30 2005

Extensions

More terms from Harvey P. Dale, Jul 10 2012

Status

approved