Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #21 Aug 31 2021 01:10:48
%S 2,3,7,113,1069,3271,6917,12853,31397,223151,338033,370261,8917523,
%T 20388583,37305713,2433630109,18562236551,53153925667,75505974031,
%U 190721857463,595999647599,2135405360509,5359567534201,6353762427407,12673125337921,18817847498917,24460380625103,47581758352253
%N Record prime numbers for A228098.
%C The corresponding record values are in A230776.
%C 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 There is no value > 14 in the first 100000 terms of A228098, and only one equals 14, for a(12) = 370261.
%Y Cf. A000040, A001223, A228098, A230776, A230777, A344582.
%K nonn
%O 1,1
%A _Jean-Christophe Hervé_, Nov 02 2013
%E a(13)-a(28) from _Martin Ehrenstein_, Jun 06 2021