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.

A295266 Positive integers whose squares can be represented as the sum or difference of 3-smooth numbers.

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%I A295266 #4 Nov 21 2017 20:03:08
%S A295266 1,2,3,5,7,17
%N A295266 Positive integers whose squares can be represented as the sum or difference of 3-smooth numbers.
%C A295266 In Chapter 7 of de Weger's tract, it is shown that there are no other terms.
%C A295266 More generally, de Weger exposited how one can determine all squares which can be represented as the sum or difference of k-smooth numbers for any given k and determined all integers whose squares can be represented as the sum or difference of 7-smooth numbers, among which the largest one is 14117^2 = 199289869 = 3^13 * 5^3 - 2 * 7^3.
%H A295266 B. M. M. de Weger, <a href="https://www.win.tue.nl/~bdeweger/proefschrift.html">Algorithms for Diophantine Equations</a>, Centrum voor Wiskunde en Informatica, Amsterdam, 1989.
%e A295266 a(6) = 17 ; 17^2 = 288 + 1 = 2^5 * 3^2 + 1.
%Y A295266 Cf. A003586 (3-smooth numbers).
%Y A295266 Coincides with A192579 and A215658 except the term 1.
%K A295266 nonn,fini,full
%O A295266 1,2
%A A295266 _Tomohiro Yamada_, Nov 19 2017