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2
Number Theory
Number Theory
Source: Archimedes Junior 2014
March 17, 2020
number theory
Problem Statement
Let
p
p
p
prime and
m
m
m
a positive integer. Determine all pairs
(
p
,
m
)
( p,m)
(
p
,
m
)
satisfying the equation:
p
(
p
+
m
)
+
p
=
(
m
+
1
)
3
p(p+m)+p=(m+1)^3
p
(
p
+
m
)
+
p
=
(
m
+
1
)
3
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