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1968 All Soviet Union Mathematical Olympiad
107
ASU 107 All Soviet Union MO 1968 x^2 + x + 1 = py
ASU 107 All Soviet Union MO 1968 x^2 + x + 1 = py
Source:
June 20, 2019
number theory
diophantine
Problem Statement
Prove that the equation
x
2
+
x
+
1
=
p
y
x^2 + x + 1 = py
x
2
+
x
+
1
=
p
y
has solution
(
x
,
y
)
(x,y)
(
x
,
y
)
for the infinite number of simple
p
p
p
.
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