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Numbers k such that sigma(k) = sigma(k+10).
15

%I #31 Feb 10 2024 11:36:00

%S 21,174,270,517,572,913,992,1002,1420,1633,1830,2622,2958,4170,4747,

%T 5539,7520,7544,7729,10184,10783,14863,16165,16520,19837,20935,21584,

%U 23161,26840,28544,29737,31453,34510,35571,35611,35845,39560

%N Numbers k such that sigma(k) = sigma(k+10).

%H Donovan Johnson, <a href="/A015880/b015880.txt">Table of n, a(n) for n = 1..1000</a>

%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[40000], DivisorSigma[1, #]==DivisorSigma[1, # + 10] &] (* _Vincenzo Librandi_, Mar 10 2014 *)

%o (PARI) is(n)=sigma(n)==sigma(n+10) \\ _Charles R Greathouse IV_, Mar 09 2014

%Y Cf. A002961, A007373, A015861, A015863, A015865, A015866, A015867, A015876, A015877, A015881, A015882, A015883, A181647.

%K nonn

%O 1,1

%A _Robert G. Wilson v_

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Last modified September 24 07:53 EDT 2024. Contains 376188 sequences. (Running on oeis4.)