MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad Regional Round
2003 All-Russian Olympiad Regional Round
11.1
11.1
Part of
2003 All-Russian Olympiad Regional Round
Problems
(1)
p^x = y^3 + 1 - All-Russian MO 2003 Regional (R4) 11.1
Source:
9/17/2024
Find all prime
p
p
p
, for each of which there are such natural
x
x
x
and
y
y
y
such that
p
x
=
y
3
+
1
p^x = y^3 + 1
p
x
=
y
3
+
1
.
number theory
diophantine
Diophantine equation