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

1,1

Comments

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

Links

Table of n, a(n) for n=1..65.

Example

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

Crossrefs

Cf. A115878

Sequence in context: A114978 A138891 A163162 * A343217 A160685 A080218

Adjacent sequences: A181741 A181742 A181743 * A181745 A181746 A181747

Keyword

nonn

Author

Carmine Suriano, Nov 08 2010

Extensions

Name corrected by Robert Israel, Mar 04 2016

Status

approved