A113396 Prime(n+1)^2-prime(n)^2 (mod prime(n+1)).

2, 1, 3, 6, 9, 1, 15, 7, 22, 27, 1, 25, 39, 31, 17, 23, 57, 31, 55, 69, 43, 67, 53, 33, 85, 99, 91, 105, 97, 58, 115, 101, 135, 49, 147, 121, 127, 151, 137, 143, 177, 91, 189, 181, 195, 67, 79, 211, 225, 217, 203, 237, 151

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

3^2-2^2=2(mod(3)); 5^2-3^2=1(mod(5); 7^2-5^2=3(mod(7)); 11^2-7^2=6(mod(11)); etc.

Mathematica

Mod[#[[2]]^2-#[[1]]^2, #[[2]]]&/@Partition[Prime[Range[60]], 2, 1] (* Harvey P. Dale, Nov 10 2014 *)

Crossrefs

Cf. A069482.

Sequence in context: A258047 A053225 A050043 * A294284 A295678 A057925

Adjacent sequences: A113393 A113394 A113395 * A113397 A113398 A113399

Keyword

nonn

Author

Marian Kraus, Oct 26 2005

Status

approved