A110021 Final term of the simple continued fraction for prime(n+1)/prime(n).

2, 2, 2, 3, 2, 4, 2, 3, 5, 2, 6, 4, 2, 3, 5, 5, 2, 6, 3, 2, 6, 3, 5, 8, 4, 2, 3, 2, 4, 14, 3, 5, 2, 9, 2, 6, 6, 3, 5, 5, 2, 10, 2, 4, 2, 2, 2, 3, 2, 4, 5, 2, 10, 5, 5, 5, 2, 6, 4, 2, 3, 13, 3, 2, 4, 4, 6, 3, 2, 4, 5, 7, 6, 6, 3, 5, 2, 4, 8, 9, 2, 10, 2, 6, 3, 5, 8, 4, 2, 3, 11, 7, 3, 2, 3, 5, 2, 2, 18, 6

Offset: 1

Author

Leroy Quet, Sep 03 2005

Keywords

• nonn

Examples

			Prime(6)/prime(5) = 13/11 = 1 + 1/(5 + 1/2). So a(5) = 2.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A071866, A109374, A112323, A112324, A112768.

Programs

Mathematica

Table[Last[ContinuedFraction[Prime[n + 1]/Prime[n]]], {n, 100}] (* Ray Chandler, Sep 18 2005 *)

Extensions

Extended by Ray Chandler, Sep 18 2005