A181744 Numbers n such that x(x+n)=y*y has one and only one positive integer solution (x,y).

3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 17, 19, 20, 22, 23, 26, 28, 29, 31, 34, 37, 38, 41, 43, 44, 46, 47, 52, 53, 58, 59, 61, 62, 67, 68, 71, 73, 74, 76, 79, 82, 83, 86, 89, 92, 94, 97, 101, 103, 106, 107, 109, 113, 116, 118, 122, 124, 127, 131, 134, 137, 139, 142, 146, 148

Offset: 1

Author

Carmine Suriano, Nov 08 2010

Keywords

• nonn

Comments

The sequence contains all primes and their doubles and quadruples (except 2 and 4).

Examples

			118 belongs to the sequence since 1682*(1682+118)=1682*1800=1740^2
		

Crossrefs

Cf. A115878

Extensions

Name corrected by Robert Israel, Mar 04 2016