A188948 Values of x such that x^2 + y^2 = 13^n with x and y coprime and 0 < x < y.

0, 2, 5, 9, 119, 122, 828, 4449, 239, 56403, 145668, 246046, 3369960, 3627003, 23161315, 128629846, 13651680, 1590277918, 4241902555, 6712571031, 95420159401, 107655263398, 647549275812, 3718150825791, 584824319281, 44827014819597, 123471611274972, 182714776311554, 2701419604443960, 3190610873034597, 18094618450123325

Offset: 0

Author

Zak Seidov, Apr 10 2011

Keywords

• nonn

Comments

The y values are in A188949.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Chris Busenhart, Lorenz Halbeisen, Norbert Hungerbühler, Oliver Riesen, On primitive solutions of the Diophantine equation x^2+ y^2= M, Eidgenössische Technische Hochschule (ETH Zürich, Switzerland, 2020).

Crossrefs

Cf. A158936, A188949.

Programs

Mathematica

Table[Select[PowersRepresentations[13^n, 2, 2], CoprimeQ @@ # &][[1,1]], {n, 0, 30}]

Extensions

Edited by T. D. Noe, Apr 14 2011