login
A230777
Indices of record values in A228098.
3
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.
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(13)-a(28) from Martin Ehrenstein, Jun 06 2021
STATUS
approved