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PAMO Problem 2: Product and sum of primes
Source: 2019 Pan-African Mathematics Olympiad, Problem 2
4/9/2019
Let
k
k
k
be a positive integer. Consider
k
k
k
not necessarily distinct prime numbers such that their product is ten times their sum. What are these primes and what is the value of
k
k
k
?
number theory
prime numbers
Sums and Products
PAMO