

A189993


Length of the longest run of Ramanujan primes that are consecutive primes < 10^n.


2




OFFSET

1,2


LINKS

Table of n, a(n) for n=1..9.
J. Sondow, Ramanujan primes and Bertrand's postulate Amer. Math. Monthly 116 (2009), 630635.
J. Sondow, J. W. Nicholson, and T. D. Noe, Ramanujan Primes: Bounds, Runs, Twins, and Gaps, J. Integer Seq. 14 (2011) Article 11.6.2.


EXAMPLE

In the sequence of primes < 10^3, there is a run of 5 Ramanujan primes, but no longer run, so a(3) = 5.


CROSSREFS

Cf. A104272 (Ramanujan primes), A189994 (length of the longest run of nonRamanujan primes < 10^n), A174602 (smallest prime that begins a run of n Ramanujan primes).
Sequence in context: A166134 A336883 A067365 * A112838 A111296 A089728
Adjacent sequences: A189990 A189991 A189992 * A189994 A189995 A189996


KEYWORD

nonn


AUTHOR

Jonathan Sondow, May 03 2011


STATUS

approved



