A003424 Primes of form (p^x - 1)/(p^y - 1), p prime. (Formerly M2417)

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

Offset

1,1

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

T. D. Noe, Table of n, a(n) for n = 1..4738 (terms less than 10^12)

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.

Bernard Schott, Les nombres brésiliens, Quadrature, no. 76, avril-juin 2010, pages 30-38; included here with permission from the editors of Quadrature.

Leonard Tornheim, Sums of n-th powers in fields of prime characteristic, Duke Math. J. 4 (1938), pp. 359-362.

Crossrefs

Cf. A059055, A085104.

Sequence in context: A178490 A182981 A234388 * A073638 A066464 A062324

Adjacent sequences: A003421 A003422 A003423 * A003425 A003426 A003427

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved