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A230778
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Record prime numbers for A228098.
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2
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2, 3, 7, 113, 1069, 3271, 6917, 12853, 31397, 223151, 338033, 370261, 8917523, 20388583, 37305713, 2433630109, 18562236551, 53153925667, 75505974031, 190721857463, 595999647599, 2135405360509, 5359567534201, 6353762427407, 12673125337921, 18817847498917, 24460380625103, 47581758352253
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OFFSET
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1,1
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COMMENTS
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The corresponding record values are in A230776.
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).
There is no value > 14 in the first 100000 terms of A228098, and only one equals 14, for a(12) = 370261.
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LINKS
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Table of n, a(n) for n=1..28.
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CROSSREFS
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Cf. A000040, A001223, A228098, A230776, A230777, A344582.
Sequence in context: A058443 A163152 A088120 * A111870 A182514 A062935
Adjacent sequences: A230775 A230776 A230777 * A230779 A230780 A230781
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KEYWORD
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nonn
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AUTHOR
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Jean-Christophe Hervé, Nov 02 2013
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EXTENSIONS
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a(13)-a(28) from Martin Ehrenstein, Jun 06 2021
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STATUS
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approved
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