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 A230778 #21 Aug 31 2021 01:10:48 %S A230778 2,3,7,113,1069,3271,6917,12853,31397,223151,338033,370261,8917523, %T A230778 20388583,37305713,2433630109,18562236551,53153925667,75505974031, %U A230778 190721857463,595999647599,2135405360509,5359567534201,6353762427407,12673125337921,18817847498917,24460380625103,47581758352253 %N A230778 Record prime numbers for A228098. %C A230778 The corresponding record values are in A230776. %C A230778 A228098(n) is the number of primes p > prime(n) and such that p*p(n) < p(n+1)^2. This value is related to the distribution of primes around prime(n+1). High values correspond to a large gap before prime(n+1) followed by several small gaps after prime(n+1). %C A230778 There is no value > 14 in the first 100000 terms of A228098, and only one equals 14, for a(12) = 370261. %Y A230778 Cf. A000040, A001223, A228098, A230776, A230777, A344582. %K A230778 nonn %O A230778 1,1 %A A230778 _Jean-Christophe Hervé_, Nov 02 2013 %E A230778 a(13)-a(28) from _Martin Ehrenstein_, Jun 06 2021