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Kvant 2023
M2736
M2736
Part of
Kvant 2023
Problems
(1)
NT with binomial coefficient
Source: Kvant Magazine No. 2 2023 M2736
4/19/2023
Find the remainder of
(
3
n
2
n
)
\binom{3^n}{2^n}
(
2
n
3
n
)
modulo
3
n
+
1
3^{n+1}
3
n
+
1
.Proposed by V. Rastorguev
number theory
binomial coefficients