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%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
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