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Azerbaijan EGMO TST
2021 Azerbaijan EGMO TST
1
Mathematics
Mathematics
Source:
September 4, 2020
prime numbers
prime
number theory
AZE EGMO TST
Problem Statement
p is a prime number, k is a positive integer Find all (p, k):
k
!
=
(
p
3
−
1
)
(
p
3
−
p
)
(
p
3
−
p
2
)
k!=(p^3-1)(p^3-p)(p^3-p^2)
k
!
=
(
p
3
−
1
)
(
p
3
−
p
)
(
p
3
−
p
2
)
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