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A230777 Indices of record values in A228098.

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%I A230777 #32 Aug 31 2021 01:07:59
%S A230777 1,2,4,30,180,462,890,1532,3385,19871,29040,31545,597311,1293698,
%T A230777 2279181,118374763,821495413,2247521689,3145845927,7650216016,
%U A230777 22859974504,78076882908,189573830057,223393027147,435001965071,637259184969,821040118481,1562199136511
%N A230777 Indices of record values in A228098.
%C A230777 These indices are ranks of prime numbers; corresponding primes are in A230778, and corresponding record values are in A230776.
%C A230777 A228098(n) is the number of primes p > prime(n) and such that p*prime(n) < prime(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 A230777 There is no value > 14 in the first 100000 terms of A228098, and only one equal to 14: A228098(31545), which corresponds to prime(31545) = 370261.
%Y A230777 Cf. A000040, A001223, A228098, A230776, A230778.
%K A230777 nonn
%O A230777 1,2
%A A230777 _Jean-Christophe Hervé_, Nov 01 2013
%E A230777 a(13)-a(28) from _Martin Ehrenstein_, Jun 06 2021