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A015863 Numbers k such that sigma(k) = sigma(k+4). 15

%I #39 Feb 10 2024 11:35:16

%S 51,66,115,220,319,1003,2585,4024,4183,4195,5720,5826,5959,8004,8374,

%T 11659,12367,12561,13581,14338,15365,16116,17840,18718,20541,25130,

%U 29393,30170,32665,36516,39913,40660,42423,42922,47841,49762

%N Numbers k such that sigma(k) = sigma(k+4).

%D J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 51, p. 19, Ellipses, Paris 2008.

%H Donovan Johnson, <a href="/A015863/b015863.txt">Table of n, a(n) for n = 1..1000</a> (first 130 terms from Paolo P. Lava)

%H A. Weingartner, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL14/Weingartner/wein3.html">On the Solutions of sigma(n) = sigma(n+k)</a>, Journal of Integer Sequences, Vol. 14 (2011), #11.5.5.

%t Select[Range[60000], DivisorSigma[1, #]==DivisorSigma[1, # + 4] &] (* _Vincenzo Librandi_, Mar 10 2014 *)

%o (PARI) is(n)=sigma(n)==sigma(n+4) \\ _Charles R Greathouse IV_, Mar 09 2014

%Y Cf. A002961, A007373, A015861, A015865, A015866, A015867, A015876, A015877, A015880, A015881, A015882, A015883, A181647.

%K nonn

%O 1,1

%A _Robert G. Wilson v_

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)