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Search: id:A059791
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| A059791 |
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Numbers n such that floor(phi^n) is prime, where phi = golden ratio. |
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+0
3
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| 2, 5, 6, 7, 11, 13, 17, 19, 24, 31, 37, 41, 47, 48, 53, 61, 71, 79, 96, 113, 313, 353, 503, 613, 617, 863, 1097, 1361, 4787, 4793, 5851, 7741, 8467, 10691, 12251, 13963
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, Phi-Prime
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EXAMPLE
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floor(phi^863)=227160876495918562748535035942584201965901433059749617\
427535706949917136103176482875403653972639455945062095866005032008819\
9236184776437699830957031191632116265394965429613743580479 is prime.
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CROSSREFS
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Cf. A001622, A059792.
Sequence in context: A050002 A047578 A080589 this_sequence A043329 A023699 A058605
Adjacent sequences: A059788 A059789 A059790 this_sequence A059792 A059793 A059794
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KEYWORD
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nonn
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AUTHOR
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Naohiro Nomoto (6284968128(AT)geocities.co.jp), Feb 22 2001
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 24 2001
a(27)-a(33) from Eric Weisstein (eric(AT)weisstein.com), May 1, 2006
I added 3 more terms: 10691, 12251, 13963. Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Dec 29 2008
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