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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.

A053813 Numbers which are an integral multiple of the sum of their proper divisors: prime and perfect numbers.

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%I A053813 #18 Jun 03 2019 03:01:59
%S A053813 2,3,5,6,7,11,13,17,19,23,28,29,31,37,41,43,47,53,59,61,67,71,73,79,
%T A053813 83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,
%U A053813 179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271
%N A053813 Numbers which are an integral multiple of the sum of their proper divisors: prime and perfect numbers.
%C A053813 Note that numbers which are an integral multiple of the sum of their proper divisors excluding 1 (A048050) are the squares of primes (A001248).
%C A053813 Subsequence of A166070. - _Jaroslav Krizek_, Oct 06 2009
%p A053813 isA053813 := proc(n) add(1/j, j=numtheory:-divisors(n)): numer(%) = denom(%) + 1 end: select(isA053813, [$1..271]); # _Peter Luschny_, Oct 03 2018
%t A053813 Select[Range[300], PrimeQ[#] || DivisorSigma[1, #] == 2*#&] (* _Jean-François Alcover_, Jun 03 2019 *)
%Y A053813 Cf. A000040, A000396, A001065.
%Y A053813 Cf. A048050, A001248.
%Y A053813 Cf. A166070.
%K A053813 nonn
%O A053813 1,1
%A A053813 _Henry Bottomley_, Mar 28 2000