A143117 a(n) = the smallest positive integer that divides no more than one integer k, where n-th prime <= k <= (n+1)th prime.

2, 2, 2, 3, 2, 3, 2, 3, 5, 2, 5, 3, 2, 3, 5, 4, 2, 4, 3, 2, 4, 3, 5, 7, 3, 2, 3, 2, 3, 8, 3, 5, 2, 6, 2, 5, 4, 3, 5, 4, 2, 6, 2, 3, 2, 9, 7, 3, 2, 3, 4, 2, 6, 5, 4, 5, 2, 5, 3, 2, 6, 10, 3, 2, 3, 9, 5, 6, 2, 3, 4, 7, 5, 4, 3, 5, 7, 3, 5, 6, 2, 6, 2, 4, 3, 5, 7, 3, 2, 3, 8, 7, 3, 5, 3, 5, 9, 2, 13, 4, 6, 4, 5, 2, 5

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Formula

a(n) = A140715(n) + 1.

Example

The 16th prime is 53 and the 17th prime is 59. So we will concern ourselves with the integers 53,54,55,56,57,58,59. 1 divides all these integers. 2 divides three of these integers (54,56,58). 3 divides 54 and 57. 4 divides just 56. So a(16) = 4.

Crossrefs

Cf. A140715, A143118.

Sequence in context: A145193 A292585 A175872 * A108053 A076221 A029235

Adjacent sequences: A143114 A143115 A143116 * A143118 A143119 A143120

Keyword

nonn

Author

Leroy Quet, Jul 25 2008

Extensions

Extended by Ray Chandler, Nov 10 2008

Status

approved