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2020 LMT Spring
18
18
Part of
2020 LMT Spring
Problems
(1)
Spring 2020 Team Round Problem 18
Source:
8/22/2020
Compute the maximum integer value of
k
k
k
such that
2
k
2^k
2
k
divides
3
2
n
+
3
+
40
n
ā
27
3^{2n+3}+40n-27
3
2
n
+
3
+
40
n
ā
27
for any positive integer
n
n
n
.