A130192 Smallest k with k*nextPrime(n) > nextPrime(k*n).

2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 4, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 5, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 3, 3, 2, 2, 2

Offset

1,1

Links

D. Wilson, Table of n, a(n) for n = 1..10000

Mathematica

a[n_] := For[k = 2, True, k++, If[ k*NextPrime[n] > NextPrime[k*n], Return[k]]]; Table[a[n], {n, 1, 105}] (* Jean-François Alcover, Jul 18 2013 *)

Crossrefs

Sequence in context: A333253 A193990 A089367 * A175064 A349956 A104564

Adjacent sequences: A130189 A130190 A130191 * A130193 A130194 A130195

Keyword

nonn

Author

David W. Wilson, May 15 2007

Status

approved