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A108322 "Binary prime squares": a(n) = n^2 written in base 2 and interpreted as a base-10 number, if that number is prime; a(n) = 0 otherwise. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,29

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=1..76.

EXAMPLE

a(5)=0 because 5^2 = 25 = 11001_2, and the decimal number 11001 is not prime.

a(29)=1101001001 because 29^2 = 841 = 1101001001_2, and the decimal number 1101001001 is prime.

CROSSREFS

Cf. A108323, A108324, A108325.

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

EXTENSIONS

Edited by Jon E. Schoenfield, Sep 23 2018

Offset corrected by Michel Marcus, Sep 24 2018

STATUS

approved

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Last modified November 18 07:01 EST 2018. Contains 317279 sequences. (Running on oeis4.)