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.

A234238 Sporadic solutions to sigma(n) == 12 modulo n.

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%I A234238 #19 Feb 08 2016 10:14:26
%S A234238 24,54,121,304,780,2352,127744,430272,33501184,184773312,8589082624
%N A234238 Sporadic solutions to sigma(n) == 12 modulo n.
%C A234238 Terms of A076496 that are either not divisible by 6 or such that x/6 is not coprime to 6.
%C A234238 10384593717069654320312270165377024 is also a term. - _Donovan Johnson_, Dec 23 2013
%H A234238 A. Anavi, P. Pollack, C. Pomerance, <a href="http://dx.doi.org/10.1142/S1793042112501266">On congruences of the form sigma(n) == a (mod n)</a>, Int. J. Number Theory 09, 115 (2013).
%H A234238 P. Pollack, <a href="http://alpha.math.uga.edu/~pollack/CNTA2012.pdf">The sum of divisors of n, modulo n</a>, CNTA 2012.
%e A234238 sigma(24) % 24 = 12, and 24/6 is not coprime to 6, hence 24 is here.
%e A234238 sigma(121) % 121 = 12, and 121 is not divisible by 6, hence 121 is here.
%o A234238 (PARI) a(n) = m = 6; a = sigma(m) ; ((sigma(n) % n) == a) && ((n % m) || (!(n % m) && (gcd(m, (n/m)) != 1)));
%Y A234238 Cf. A076496.
%Y A234238 Supersequence of A084306.
%K A234238 nonn,more
%O A234238 1,1
%A A234238 _Michel Marcus_, Dec 21 2013
%E A234238 a(11) from _Donovan Johnson_, Dec 23 2013