cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A340706 Difference between upper and lower member of a pair of adjacent perfect powers A340700 and A340701, both with exponents > 2.

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%I A340706 #15 Jan 20 2021 15:03:37
%S A340706 5,17,3,13,24,35,10,28,270,631,95,443,531,440,1487,1934,503,8138,6276,
%T A340706 12311,16911,33892,11573,17000,3807,45197,30753,31457,65170,105597,
%U A340706 127209,206808,109516,139456,377711,530040,561600,690742,952332,457704,671064,353107
%N A340706 Difference between upper and lower member of a pair of adjacent perfect powers A340700 and A340701, both with exponents > 2.
%C A340706 The differences are expected to be bounded below by the Lang-Waldschmidt conjecture (see Waldschmidt 2013, p. 6, Conjecture 6).
%H A340706 Hugo Pfoertner, <a href="/A340706/b340706.txt">Table of n, a(n) for n = 1..1670</a>
%H A340706 Michel Waldschmidt, <a href="https://webusers.imj-prg.fr/~michel.waldschmidt/articles/pdf/abcLahoreProceedings.pdf">Lecture on the abc conjecture and some of its consequences</a>, Abdus Salam School of Mathematical Sciences (ASSMS), Lahore, 6th World Conference on 21st Century Mathematics 2013.
%F A340706 a(n) = A340701(n) - A340700(n).
%e A340706 See A340700.
%Y A340706 Cf. A001597, A076467, A340700, A340701, A340702, A340703, A340704, A340705.
%K A340706 nonn
%O A340706 1,1
%A A340706 _Hugo Pfoertner_, Jan 16 2021