A108324 "Binary prime squares": squares whose binary expansions, read as decimal expansions, are primes.

841, 1521, 2601, 2809, 4489, 7225, 7569, 11449, 18225, 32761, 35721, 55225, 64009, 88209, 123201, 140625, 143641, 198025, 201601, 243049, 339889, 358801, 375769, 491401, 511225, 525625, 546121, 561001, 591361, 609961, 690561, 707281, 717409, 727609, 848241

Offset

1,1

Comments

Similar to A108323 but in base 10.

Links

Table of n, a(n) for n=1..35.

Example

1521 = 39^2 is a term because 1521 = 10111110001_2 and the decimal number 10111110001 is prime.

Mathematica

Select[Range[1000]^2, PrimeQ@ FromDigits@ IntegerDigits[#, 2] &] (* Giovanni Resta, Oct 03 2018 *)

Crossrefs

Cf. A108322, A108323, A108325.

Sequence in context: A362440 A159690 A210470 * A133496 A361675 A253599

Adjacent sequences: A108321 A108322 A108323 * A108325 A108326 A108327

Keyword

easy,nonn,base

Author

Alexandre Wajnberg, Jun 30 2005

Extensions

More terms from Giovanni Resta, Oct 03 2018

Status

approved