cp's OEIS Frontend

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.

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A230778 Record prime numbers for A228098.

Original entry on oeis.org

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
Offset: 1

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Author

Jean-Christophe Hervé, Nov 02 2013

Keywords

Comments

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.

Crossrefs

Cf. A000040, A001223, A228098, A230776, A230777, A344582.

Extensions

a(13)-a(28) from Martin Ehrenstein, Jun 06 2021
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