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Search: id:A098858
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| A098858 |
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Primes p such that floor(sqrt(2)*p) is also a aprime. |
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+0
1
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| 2, 5, 29, 31, 59, 73, 97, 107, 127, 137, 199, 239, 271, 281, 311, 353, 383, 479, 509, 523, 547, 557, 691, 701, 769, 773, 823, 967, 971, 977, 997, 1049, 1069, 1103, 1117, 1151, 1217, 1367, 1459, 1493, 1523, 1571, 1613, 1663, 1667, 1697, 1783, 1879, 1889, 2011
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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59 and floor(sqrt(2)*59)=83 are primes.
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MATHEMATICA
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(* primes that when multiplied by Sqrt[2] give new primes*) digits=1200 a=Delete[Union[Table[If[PrimeQ[Floor[Prime[n]*Sqrt[2]]]==True, Prime[n], 0], {n, 1, digits}]], 1]
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CROSSREFS
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Sequence in context: A000472 A049050 A165161 this_sequence A134449 A103579 A161500
Adjacent sequences: A098855 A098856 A098857 this_sequence A098859 A098860 A098861
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Oct 11 2004
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