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!)
A230777 Indices of record values in A228098. 3

%I #32 Aug 31 2021 01:07:59

%S 1,2,4,30,180,462,890,1532,3385,19871,29040,31545,597311,1293698,

%T 2279181,118374763,821495413,2247521689,3145845927,7650216016,

%U 22859974504,78076882908,189573830057,223393027147,435001965071,637259184969,821040118481,1562199136511

%N Indices of record values in A228098.

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

%C 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).

%C 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.

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

%K nonn

%O 1,2

%A _Jean-Christophe Hervé_, Nov 01 2013

%E a(13)-a(28) from _Martin Ehrenstein_, Jun 06 2021

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 August 9 16:51 EDT 2024. Contains 375044 sequences. (Running on oeis4.)