A230759 Values of x such that x^2 + y^2 = 53^n with x and y coprime and 0 < x < y.

2, 28, 259, 1241, 3647, 14715, 399301, 4810319, 34161842, 146769868, 244200526, 4359995640, 73982566838, 804676166812, 4381447604821, 15981352647839, 8477785985767, 965700694136205, 13070487060661219, 114948480102611400, 541029996598203398

Offset: 1

Author

Colin Barker, Oct 29 2013

Keywords

• nonn

Comments

The corresponding y-values are in A230760.

Examples

			a(3)=259 because 259^2+286^2=148877=53^3.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..200

Crossrefs

Cf. A230760, A188948, A230622, A230644, A230710, A230712, A230743.

Programs

Mathematica

Table[Select[PowersRepresentations[53^n, 2, 2], CoprimeQ@@#&][[1, 1]], {n, 1, 40}] (* Vincenzo Librandi, Mar 02 2014 *)