A230777 Indices of record values in A228098.

1, 2, 4, 30, 180, 462, 890, 1532, 3385, 19871, 29040, 31545, 597311, 1293698, 2279181, 118374763, 821495413, 2247521689, 3145845927, 7650216016, 22859974504, 78076882908, 189573830057, 223393027147, 435001965071, 637259184969, 821040118481, 1562199136511

Offset

1,2

Comments

These indices are ranks of prime numbers; corresponding primes are in A230778, and corresponding record values are in A230776.

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).

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.

Links

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

Crossrefs

Cf. A000040, A001223, A228098, A230776, A230778.

Sequence in context: A084914 A058779 A359914 * A344582 A241542 A241540

Adjacent sequences: A230774 A230775 A230776 * A230778 A230779 A230780

Keyword

nonn

Author

Jean-Christophe Hervé, Nov 01 2013

Extensions

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

Status

approved