A261039 - OEIS

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

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OFFSET

1,2

COMMENTS

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

LINKS

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

KEYWORD

nonn,fini,full

AUTHOR

Marco Ripà, Aug 07 2015

STATUS

approved