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15
2023 Fall LMT Speed p15 , 7^2 x11 divides n^3 -n^2
2023 Fall LMT Speed p15 , 7^2 x11 divides n^3 -n^2
Source:
March 2, 2024
number theory
Problem Statement
Find the least positive integer
n
n
n
greater than
1
1
1
such that
n
3
−
n
2
n^3 -n^2
n
3
−
n
2
is divisible by
7
2
×
11
7^2 \times 11
7
2
×
11
.Proposed by Jacob Xu
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