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Search: id:A085104
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| A085104 |
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Primes of the form 1+n+n^2+n^3+ ... +n^k, n > 1, k > 1. |
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+0
6
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| 7, 13, 31, 43, 73, 127, 157, 211, 241, 307, 421, 463, 601, 757, 1093, 1123, 1483, 1723, 2551, 2801, 2971, 3307, 3541, 3907, 4423, 4831, 5113, 5701, 6007, 6163, 6481, 8011, 8191, 9901, 10303, 11131, 12211, 12433, 13807, 14281, 17293, 19183, 19531, 20023
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes that are base-b repunits with three or more digits for at least one b >= 2: Primes in A053696. Subsequence of A000668 UNION A076481 UNION A086122 UNION A165210 UNION A102170 UNION A004022 UNION ... (for each possible b). [From Rick L. Shepherd (rshepherd2(AT)hotmail.com), Sep 07 2009]
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..3880
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EXAMPLE
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13 is a term as 1+3+9.
31 is a term as 1+2+4+8+16.
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CROSSREFS
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Cf. A002383.
Cf. A003424 (n restricted to prime powers), A059055
Cf. A053696, A000668, A076481, A086122, A165210, A102170, A004022. [From Rick L. Shepherd (rshepherd2(AT)hotmail.com), Sep 07 2009]
Sequence in context: A087196 A074963 A110912 this_sequence A162652 A031158 A091431
Adjacent sequences: A085101 A085102 A085103 this_sequence A085105 A085106 A085107
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jul 03 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jan 26 2005
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