A142972 a(n) = the largest integer such that each positive integer <= a(n) divides at least one integer k, where the n-th prime <= k <= the (n+1)th prime.

3, 5, 3, 5, 4, 5, 3, 5, 9, 3, 9, 5, 3, 5, 8, 9, 6, 9, 5, 4, 7, 5, 8, 10, 5, 3, 5, 4, 5, 15, 5, 9, 3, 14, 3, 9, 10, 5, 10, 8, 6, 11, 4, 5, 3, 17, 13, 5, 4, 5, 7, 6, 11, 9, 7, 8, 3, 8, 5, 3, 13, 21, 5, 4, 5, 20, 9, 11, 4, 5, 7, 15, 10, 9, 5, 9, 15, 5, 9, 11, 7, 11, 4, 7, 5, 8, 13, 5, 3, 5, 14, 13, 5, 9, 5

Offset

1,1

Comments

a(n) = A142973(n) - 1.

Links

Table of n, a(n) for n=1..95.

Example

The 15th prime is 47 and the 16th prime is 53. So we will consider the integers 47,48,49,50,51,52,53. Now, 1 divides each of these 6 integers. 2 divides 48, 50 and 52. 3 divides 48 and 51. 4 divides 48 and 52. 5 divides 50. 6 divides 48. 7 divides 49. 8 divides 48. But 9 does not divide any integer that is between 47 and 53. So a(15)=8, since 1, 2, 3, 4, 5, 6, 7 and 8 each divide at least one integer between 47 and 53.

Crossrefs

Cf. A142973.

Sequence in context: A094929 A096634 A105439 * A020765 A112756 A121795

Adjacent sequences: A142969 A142970 A142971 * A142973 A142974 A142975

Keyword

nonn

Author

Leroy Quet, Jul 14 2008

Extensions

Extended by Ray Chandler, Jun 21 2009

Status

approved