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Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
43
43
Part of
PEN A Problems
Problems
(1)
A 43
Source:
5/25/2007
Suppose that
p
p
p
is a prime number and is greater than
3
3
3
. Prove that
7
p
−
6
p
−
1
7^{p}-6^{p}-1
7
p
−
6
p
−
1
is divisible by
43
43
43
.
modular arithmetic
Divisibility Theory
pen