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Search: id:A108325
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| A108325 |
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"Binary prime squares": values of n for which n^2 translated in base two and read as a decimal number is a prime. |
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+0
1
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| 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; listen)
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OFFSET
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1,1
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EXAMPLE
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a(3)=51 because 51^2=2601 is the third perfect square whose binary representation 101000101001 read as the decimal one 101000101001 is prime.
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MAPLE
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a:=proc(n) if isprime(convert(n^2, binary))=true then n else fi end: seq(a(n), n=1..2400); (Deutsch)
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CROSSREFS
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Sequence in context: A166311 A159887 A159888 this_sequence A101007 A155575 A125516
Adjacent sequences: A108322 A108323 A108324 this_sequence A108326 A108327 A108328
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KEYWORD
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easy,nonn
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AUTHOR
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Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), Jun 30 2005
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 04 2005
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