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Putnam
1955 Putnam
A1
Putnam 1955 A1
Putnam 1955 A1
Source:
May 23, 2022
Putnam
Problem Statement
Prove that there is no set of integers
m
,
n
,
p
m, n, p
m
,
n
,
p
except
0
,
0
,
0
0, 0, 0
0
,
0
,
0
for which
m
+
n
2
+
p
3
=
0.
m + n \sqrt2 + p \sqrt3 = 0.
m
+
n
2
ā
+
p
3
ā
=
0.
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