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.
%I A246855 #32 Aug 12 2025 12:45:06 %S A246855 3577,14773,2843579 %N A246855 Numbers k such that sigma(k+5) - sigma(k) = k + 5. %C A246855 Also numbers k such that A001065(k+5) = A000203(k). - _Michel Marcus_, Sep 06 2014 %C A246855 a(4) (if it exists) > 10^11. - _Hiroaki Yamanouchi_, Sep 10 2014 %C A246855 a(4) (if it exists) > 10^13. - _Giovanni Resta_, Jul 13 2015 %C A246855 No other terms < 2.7*10^15. - _Jud McCranie_, Jul 27 2025 %e A246855 Number 3577 is in sequence because sigma(3577+5) - sigma(3577) = 7800 - 4218 = 3582 = 3577 + 5. %t A246855 Select[Range[285*10^4],DivisorSigma[1,#+5]-DivisorSigma[1,#]==#+5&] (* _Harvey P. Dale_, Jun 21 2024 *) %o A246855 (Magma) [n:n in[1..10^7] | SumOfDivisors(n+5)-SumOfDivisors(n) eq n+5]; %o A246855 (PARI) %o A246855 for(n=1,10^7,if(sigma(n+5)-sigma(n)==n+5,print1(n,", "))) \\ _Derek Orr_, Sep 05 2014 %Y A246855 Cf. A000203, A067816, A246851, A246852, A246853, A246854. %K A246855 nonn,bref,more %O A246855 1,1 %A A246855 _Jaroslav Krizek_, Sep 05 2014