A113397 What are the values of k in the term Prime(n+1)^2-Prime(n)^2 = a+k*(Prime(n+1)) if "a" is element of {0,1,...,Prime(n+1)-1}.

1, 3, 3, 6, 3, 7, 3, 7, 10, 3, 11, 7, 3, 7, 11, 11, 3, 11, 7, 3, 11, 7, 11, 15, 7, 3, 7, 3, 7, 26, 7, 11, 3, 19, 3, 11, 11, 7, 11, 11, 3, 19, 3, 7, 3, 23, 23, 7, 3, 7, 11, 3, 19

Offset

1,2

Links

Table of n, a(n) for n=1..53.

Formula

Prime(n+1)^2-Prime(n)^2 = a+k*(Prime(n+1)) "a" element of {0, 1, ..., Prime(n+1)-1}

Example

3^2-2^2=2+1*3; 5^2-3^2=1+3*5; 7^2-5^2=3+3*7; 11^2-7^2=6+6*11; 13^2-11^2=9+3*13; etc.

Crossrefs

Cf. A113396.

Sequence in context: A110634 A324467 A151787 * A341343 A226602 A307000

Adjacent sequences: A113394 A113395 A113396 * A113398 A113399 A113400

Keyword

nonn

Author

Marian Kraus, Oct 26 2005

Status

approved