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2023 LMT Spring
6
2023 Spring LMT Team #6
2023 Spring LMT Team #6
Source:
August 10, 2023
number theory
Problem Statement
Find the least positive integer
m
m
m
such that
105
∣
9
(
p
2
)
−
2
9
p
+
m
105| 9^{(p^2)} -29^p +m
105∣
9
(
p
2
)
−
2
9
p
+
m
for all prime numbers
p
>
3
p > 3
p
>
3
.
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