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Primes of form (p^x - 1)/(p^y - 1), p prime.
(Formerly M2417)
9

%I M2417 #26 Oct 21 2023 18:29:52

%S 3,5,7,13,17,31,73,127,257,307,757,1093,1723,2801,3541,5113,8011,8191,

%T 10303,17293,19531,28057,30103,30941,65537,86143,88741,131071,147073

%N Primes of form (p^x - 1)/(p^y - 1), p prime.

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

%H T. D. Noe, <a href="/A003424/b003424.txt">Table of n, a(n) for n = 1..4738</a> (terms less than 10^12)

%H Paul T. Bateman and Rosemarie M. Stemmler, <a href="http://projecteuclid.org/euclid.ijm/1255631815">Waring's problem for algebraic number fields and primes of the form (p^r-1)/(p^d-1)</a>, Illinois J. Math. 6 (1962), pp. 142-156.

%H Bernard Schott, <a href="/A125134/a125134.pdf">Les nombres brésiliens</a>, Quadrature, no. 76, avril-juin 2010, pages 30-38; included here with permission from the editors of Quadrature.

%H Leonard Tornheim, <a href="http://dx.doi.org/10.1215/S0012-7094-38-00427-2">Sums of n-th powers in fields of prime characteristic</a>, Duke Math. J. 4 (1938), pp. 359-362.

%Y Cf. A059055, A085104.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_