MathDB
Problems
Contests
International Contests
KoMaL A Problems
KoMaL A Problems 2019/2020
A. 778
A. 778
Part of
KoMaL A Problems 2019/2020
Problems
(1)
Number theory
Source:
4/14/2021
Find all square-free integers
d
d
d
for which there exist positive integers
x
,
y
x, y
x
,
y
and
n
n
n
satisfying
x
2
+
d
y
2
=
2
n
x^2+dy^2=2^n
x
2
+
d
y
2
=
2
n
Submitted by Kada Williams, Cambridge
Diophantine equation
number theory