login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 29 17:41 EDT 2022. Contains 354913 sequences. (Running on oeis4.)