A113710 a(n) = A113709(n)/(prime(n+1) - prime(n)).

2, 3, 2, 6, 4, 9, 5, 4, 15, 6, 10, 21, 11, 8, 9, 30, 11, 17, 36, 13, 20, 14, 12, 25, 51, 26, 54, 28, 9, 32, 22, 69, 14, 75, 26, 27, 41, 28, 29, 90, 19, 96, 49, 99, 17, 18, 56, 114, 58, 39, 120, 25, 42, 43, 44, 135, 46, 70, 141, 29, 21, 77, 156, 79, 23, 56, 34, 174, 88, 59, 45, 62

Offset: 2

Author

Leroy Quet, Nov 06 2005

Keywords

• nonn

Comments

Records are in A040040. - Andres Cicuttin, Nov 26 2016

Examples

			Between the primes 67 and 71 is the composite 68 and 68 is divisible by (71-67)=4. So 68/(71-67)= 17 is in the sequence.
		

Crossrefs

Cf. A113709.

Formula

a(n) = floor(p(n+1)/(p(n+1)-p(n))) = ceiling(p(n)/(p(n+1)-p(n))), where p(n) is the n-th prime. - Leroy Quet, Feb 03 2007

a(n) = A113709(n)/A001223(n). - Omar E. Pol, Nov 26 2016

Extensions

More terms from R. J. Mathar, Aug 31 2007