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A003424
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Primes of form (p^x - 1)/(p^y - 1), p prime.
(Formerly M2417)
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3
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3, 5, 7, 13, 17, 31, 73, 127, 257, 307, 757, 1093, 1723, 2801, 3541, 5113, 8011, 8191, 10303, 17293, 19531, 28057, 30103, 30941, 65537, 86143, 88741, 131071, 147073
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Paul T. Bateman and Rosemarie M. Stemmler, Waring's problem for algebraic number fields and primes of the form (p^r-1)/(p^d-1). Illinois J. Math. 6 (1962), pp. 142-156.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Leonard Tornheim, Sums of n-th powers in fields of prime characteristic, Duke Math. J. 4 (1938), pp. 359-362.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..4738
Bernard Schott, Les nombres brésiliens, Quadrature, no. 76, avril-juin 2010, pages 30-38.
Bernard Schott, Les nombres brésiliens, Reprinted from Quadrature, no. 76, avril-juin 2010, pages 30-38, included here with permission from the editors of Quadrature.
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CROSSREFS
| Cf. A059055, A085104.
Sequence in context: A070806 A178490 A182981 * A073638 A066464 A062324
Adjacent sequences: A003421 A003422 A003423 * A003425 A003426 A003427
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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