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10
MMATHS 2023 Team Problem 10: Integer pairs such that expression isnt 0 mod 23
MMATHS 2023 Team Problem 10: Integer pairs such that expression isnt 0 mod 23
Source:
September 24, 2024
Yale
MMATHS
Problem Statement
Find the number of ordered pairs of integers
(
m
,
n
)
(m,n)
(
m
,
n
)
with
0
≤
m
,
n
≤
22
0 \le m,n \le 22
0
≤
m
,
n
≤
22
such that
k
2
+
m
k
+
n
k^2+mk+n
k
2
+
mk
+
n
is not a multiple of
23
23
23
for all integers
k
.
k.
k
.
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