A261039 Numbers n that begin a sequence of 100 consecutive integers (n, n+1, ..., n+99) containing at least 25 primes.

1, 2, 3, 4, 5, 10, 11

Offset

1,2

Comments

For n=2 the sequence contains the maximum number of primes (26).

Links

Table of n, a(n) for n=1..7.

Example

There are 25 primes between a(3)=3 and a(3) + 99 = 102.

Mathematica

Select[Range[1, 30], PrimePi[#+99]-PrimePi[#-1]>24&]
(* Robert G. Wilson v, Aug 07 2015 *)

Crossrefs

Cf. A000040, A000720.

Sequence in context: A338749 A370893 A072701 * A266117 A037473 A007092

Adjacent sequences: A261036 A261037 A261038 * A261040 A261041 A261042

Keyword

nonn,fini,full

Author

Marco Ripà, Aug 07 2015

Status

approved