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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: A102701 A255770 A111208 * A265414 A189291 A155211

Adjacent sequences:  A085497 A085498 A085499 * A085501 A085502 A085503

KEYWORD

nonn

AUTHOR

Farideh Firoozbakht, Aug 15 2003

STATUS

approved

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Last modified August 25 21:00 EDT 2019. Contains 326324 sequences. (Running on oeis4.)