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A075461 List of solutions to the Znám problem sorted first by length, then lexicographically. 2

%I #34 Jan 27 2024 10:34:02

%S 2,3,7,47,395,2,3,11,23,31,2,3,7,43,1823,193667,2,3,7,47,403,19403,2,

%T 3,7,47,415,8111,2,3,7,47,583,1223,2,3,7,55,179,24323,2,3,7,43,1807,

%U 3263447,2130014000915,2,3,7,43,1807,3263591,71480133827,2,3,7,43

%N List of solutions to the Znám problem sorted first by length, then lexicographically.

%H Max Alekseyev, <a href="/A075461/b075461.txt">Table of n, a(n) for n = 1..934</a> (flattened list of the n-term solutions for n = 5..8)

%H J. Janák and L. Skula, <a href="http://dml.cz/dmlcz/133350">On the integers xi for which xi | x1 . . . xi-1 xi . . . xn + 1 holds</a>, Mathematica Slovaca, Vol. 28 (1978), No. 3, 305--310.

%H J. Sondow and K. MacMillan, <a href="http://www.jstor.org/stable/10.4169/amer.math.monthly.124.3.232">Primary pseudoperfect numbers, arithmetic progressions, and the Erdos-Moser equation</a>, Amer. Math. Monthly, 124 (2017) 232-240; <a href="http://arxiv.org/abs/1812.06566">arXiv:math/1812.06566 [math.NT]</a>, 2018.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ZnamsProblem.html">Znám's Problem</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Zn%C3%A1m%27s_problem">Znám's problem</a>.

%e Starts with A075441(5)=2 5-term solutions 2,3,7,47,395; 2,3,11,23,31, followed by A075441(6)=5 6-term solutions, etc.

%Y Cf. A006585, A007850, A054377, A075441, A085098, A118086, A158649, A164014, A343074, A369469.

%K nonn,tabf

%O 1,1

%A _Eric W. Weisstein_, Sep 16 2002

%E Edited by _Max Alekseyev_, Jan 25 2024

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Last modified April 24 19:06 EDT 2024. Contains 371962 sequences. (Running on oeis4.)