A230778 Record prime numbers for A228098.

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

1,1

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.

Links

Table of n, a(n) for n=1..28.

Crossrefs

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

Sequence in context: A058443 A163152 A088120 * A111870 A182514 A062935

Adjacent sequences: A230775 A230776 A230777 * A230779 A230780 A230781

Keyword

nonn

Author

Jean-Christophe Hervé, Nov 02 2013

Extensions

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

Status

approved