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 A121492 #18 Oct 18 2024 08:59:33 %S A121492 1,2,3,4,5,6,8,10,12,14,20,22,30,32,34,36,44,52,72,86,96,112,114,118, %T A121492 132,148,154,180,210,220,222,234,248,250,282,288,292,320,336,354,382, %U A121492 384,394,456,464,468,474,486,490,500,514,516,532,534,540,582,588,602 %N A121492 Gaps associated with A002540(n). %C A121492 Record gaps between prime powers (A000961) [_Michael B. Porter_, Nov 01 2009]. %H A121492 Jan Kristian Haugland, <a href="/A121492/b121492.txt">Table of n, a(n) for n = 1..87</a> (terms 1..79 from _Donovan Johnson_). The extra terms are copied from A005250 as the associated prime gaps do not contain any prime powers. %e A121492 6 is in the sequence since 53 and 59 are consecutive prime powers and no smaller pair of consecutive prime powers differ by 6 or more. [From _Michael B. Porter_, Nov 03 2009] %o A121492 (PARI) isA000961(n) = (omega(n) == 1 || n == 1) %o A121492 d_max=0;n_prev=1;for(n=2,1e6,if(isA000961(n),d=n-n_prev;if(d>d_max,print(d); d_max=d);n_prev=n)) /* _Michael B. Porter_, Nov 01 2009 */ %Y A121492 Cf. A002540, A167236, A057820, A000961 [_Michael B. Porter_, Nov 01 2009] %Y A121492 start of gap: A002540, end of gap: A167236, gaps: A057820 [From _Michael B. Porter_, Nov 03 2009] %K A121492 nonn %O A121492 1,2 %A A121492 _Lekraj Beedassy_, Aug 03 2006 %E A121492 Second term corrected. a(20)-a(79) and b-file from _Donovan Johnson_, Nov 14 2008