A085500 Indices of primes where nondecreasing gaps occur.

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

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