login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A085500 Indices of primes where nondecreasing gaps occur. 1
1, 2, 3, 4, 6, 8, 9, 11, 15, 16, 18, 21, 23, 24, 30, 62, 66, 99, 154, 189, 217, 1059, 1183, 1532, 1663, 1831, 2225, 2810, 3385, 14357, 29040, 30802, 31545, 40933, 103520, 104071, 118505, 149689, 325852, 733588, 983015, 1094421, 1319945, 2850174 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A005669 is a subsequence of this sequence.

REFERENCES

R. K. Guy, Unsolved problems in number theory.

LINKS

Table of n, a(n) for n=1..44.

J. Young and A. Potler, First occurrence prime gaps, Math. Comp., 52 (1989), 221-224.

FORMULA

a(n) = A000720(A134266(n)). - M. F. Hasler, Apr 26 2014

MATHEMATICA

f[n_] := Prime[n+1]-Prime[n]; v1={}; v2={}; Do[If[f[n]>=If[n==1, 1, Last[v2]], v=n; v1=Append[v1, n]; v2=Append[v2, f[v]]; Print[v1]], {n, 105000000}]

CROSSREFS

Cf. A085237, A005669, A005250.

See also A214935(n) = A000720(A205827(n)), A241540(n) = A000720(A182514(n)).

Sequence in context: A255770 A348196 A111208 * A265414 A189291 A155211

Adjacent sequences:  A085497 A085498 A085499 * A085501 A085502 A085503

KEYWORD

nonn

AUTHOR

Farideh Firoozbakht, Aug 15 2003

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)