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Search: id:A100813
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| A100813 |
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Smallest number in base 2 which is also prime in base 2+n, or 0 if no such number exists. |
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+0
1
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| 10, 11, 10, 11, 10, 111, 1011, 11, 10, 11, 10, 101, 111, 11, 10, 11, 10, 101, 111, 11, 10, 101, 111011, 101, 111, 11, 10, 11, 10, 1011, 111, 10001, 1101, 11, 10, 111, 1011, 11, 10, 11, 10, 1011, 1101, 11, 10, 1011, 1100111, 111, 101001, 11
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(6)=111: 111(base 2) = 7, which is prime; 111 (base 2+6) = 73, which is prime.
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MATHEMATICA
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a = {}; Do[ k = 1; While[ ! PrimeQ[FromDigits[IntegerDigits[Prime[k], 2], 2 + n]], k++ ]; AppendTo[a, FromDigits[IntegerDigits[Prime[k], 2], 10]]; , {n, 50}]; a (Chandler)
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CROSSREFS
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Sequence in context: A004499 A020509 A103181 this_sequence A085209 A085217 A085210
Adjacent sequences: A100810 A100811 A100812 this_sequence A100814 A100815 A100816
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KEYWORD
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base,nonn
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AUTHOR
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Ray G. Opao (1260(AT)email.com), Jan 05 2005
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EXTENSIONS
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Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 10 2005
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