

A108322


"Binary prime squares": perfect squares n^2 written in base 2 which, considered as decimal numbers, are primes; 0 if no such "binary prime square" exists.


1



0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1101001001, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10111110001, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 101000101001, 0, 101011111001, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1000110001001, 0, 0, 0, 0, 0, 0, 0, 0, 0
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OFFSET

0,29


COMMENTS

Another definition: numbers having only digits 1 and 0, which, read in base 10 are primes and in base 2 are perfect squares.


LINKS

Table of n, a(n) for n=0..75.


EXAMPLE

a(5)=0 because 5^2=25(b10)=11001(b2), which read as the decimal number 11,001 is not prime.
a(29)=1101001001 because 29^2=841(b10)=1101001001, which read as the decimal 1101001001 is prime.


CROSSREFS

Sequence in context: A134595 A217610 A219319 * A108323 A154474 A096553
Adjacent sequences: A108319 A108320 A108321 * A108323 A108324 A108325


KEYWORD

easy,nonn,base


AUTHOR

Alexandre Wajnberg, Jun 30 2005


STATUS

approved



