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.

A287251 Numbers whose sum of proper divisors is equal to 666304038394.

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%I A287251 #13 May 22 2017 12:11:45
%S A287251 1082744062322,1178845606262,1207676069426,1215025011014,
%T A287251 1279464378926,1309091462678,1309893165362,1310880770114,
%U A287251 1312211013242,1315226230958,1317231828218,1318629668702,1324707235382,1325469101618,1326419490542,1328065089458,1328085645914
%N A287251 Numbers whose sum of proper divisors is equal to 666304038394.
%C A287251 The number 666304038394 is the 48th element of A283157. That is, no even number below it has more preimages under the sum-of-proper-divisors function.
%C A287251 There are exactly 130 elements in the sequence.
%C A287251 In 2016, C. Pomerance proved that, for every e>0, the number of preimages is O_e(n^{2/3+e}).
%C A287251 Conjecture: there exists a positive real number k such that the number of preimages of an even number n is O((log n)^k).
%H A287251 Anton Mosunov, <a href="/A287251/b287251.txt">Table of n, a(n) for n = 1..130</a>
%H A287251 C. Pomerance, <a href="https://math.dartmouth.edu/~carlp/aliquot.pdf">The first function and its iterates</a>, A Celebration of the Work of R. L. Graham, S. Butler, J. Cooper, and G. Hurlbert, eds., Cambridge U. Press, to appear.
%e A287251 a(1) = 1082744062322  because it is the smallest number whose sum of proper divisors is equal to 666304038394: 1 + 2 + 13 + 26 + 41644002397 + 83288004794 + 541372031161 = 666304038394.
%Y A287251 Cf. A001065, A283156, A283157, A287233, A287238, A287247, A287262.
%K A287251 fini,full,nonn
%O A287251 1,1
%A A287251 _Anton Mosunov_, May 22 2017