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A230778
Record prime numbers for A228098.
2
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.
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(13)-a(28) from Martin Ehrenstein, Jun 06 2021
STATUS
approved