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Search: id:A035497
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| A035497 |
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Happy primes: primes that eventually reach 1 under iteration of "x -> sum of squares of digits of x". |
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+0
6
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| 7, 13, 19, 23, 31, 79, 97, 103, 109, 139, 167, 193, 239, 263, 293, 313, 331, 367, 379, 383, 397, 409, 487, 563, 617, 653, 673, 683, 709, 739, 761, 863, 881, 907, 937, 1009, 1033, 1039, 1093, 1151, 1277, 1303, 1373, 1427, 1447, 1481, 1487, 1511, 1607, 1663
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Contribution from Thomas M. Green (tgreen(AT)astound.net), Oct 23 2009: (Start)
The 2nd and 3rd repunit primes, 1111111111111111111 and 11111111111111111111111
are happy primes. (End)
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REFERENCES
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R. K. Guy, Unsolved Problems Number Theory, Sect. E34.
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LINKS
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C. Rivera, Related puzzle page
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Wikipedia, Happy number
Doctor Who, Episode 42
Wikipedia, Doctor Who, Episode 42
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CROSSREFS
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Cf. A007770 (happy nu mbers), A046519.
Sequence in context: A049591 A058620 A038910 this_sequence A059335 A070419 A080199
Adjacent sequences: A035494 A035495 A035496 this_sequence A035498 A035499 A035500
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KEYWORD
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nonn,easy,base
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Patrick De Geest (pdg(AT)worldofnumbers.com), Oct 15 1999.
Doctor Who links from David Applegate, Oct 06 2008
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