A180974 Numbers n such that 10^11 + n^2 is a square.

3750, 75000, 150000, 232500, 241875, 326625, 337500, 450000, 585000, 749250, 768750, 975000, 1230000, 1546500, 1584375, 1940325, 1987500, 2490000, 3117000, 3899850, 3993750, 4995000, 6246000, 7809300, 7996875, 9763065, 9997500

Offset

1,1

Comments

There are 60 values of x>0 which satisfy 10^11 + x^2 = y^2. - Bruno Berselli, Jan 29 2013

Links

Giovanni Resta, Table of n, a(n) for n = 1..60 (full sequence)

Mathematica

Block[{x, y}, x /. List@ToRules@Reduce[10^11 + x^2 == y^2 && y > x > 0, Integers]] (* Giovanni Resta, Jan 29 2013 *)

Prog

(Magma) [n: n in [0..10^7] | IsSquare(n^2 + 10^11)]; // Vincenzo Librandi, Jan 29 2013
(PARI) is(n)=issquare(10^11+n^2) \\ Charles R Greathouse IV, Jan 29 2013

Crossrefs

Sequence in context: A235977 A235243 A368589 * A285158 A238031 A178162

Adjacent sequences: A180971 A180972 A180973 * A180975 A180976 A180977

Keyword

nonn,easy,fini,full

Author

Jason Earls, Sep 30 2010

Status

approved