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A108325 "Binary prime squares": values of n for which n^2 translated in base two and read as a decimal number is a prime. 0
29, 39, 51, 53, 67, 85, 87, 107, 135, 181, 189, 235, 253, 297, 351, 375, 379, 445, 449, 493, 583, 599, 613, 701, 715, 725, 739, 749, 769, 781, 831, 841, 847, 853, 921, 953, 1007, 1093, 1273, 1339, 1443, 1511, 1543, 1569, 1575, 1587, 1619, 1681, 1697, 1705 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

a(3)=51 because 51^2=2601 is the third perfect square whose binary representation 101000101001 read as the decimal one 101000101001 is prime.

MAPLE

a:=proc(n) if isprime(convert(n^2, binary))=true then n else fi end: seq(a(n), n=1..2400); (Deutsch)

CROSSREFS

Sequence in context: A166311 A159887 A159888 * A101007 A155575 A125516

Adjacent sequences:  A108322 A108323 A108324 * A108326 A108327 A108328

KEYWORD

easy,nonn,base

AUTHOR

Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), Jun 30 2005

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 04 2005

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.