MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Princeton University Math Competition
2018 Princeton University Math Competition
2018 PUMaC Live Round
4.1
2018 PUMaC Live Round 4.1
2018 PUMaC Live Round 4.1
Source:
January 13, 2019
PuMAC
Live Round
number theory
prime numbers
Problem Statement
The number
400000001
400000001
400000001
can be written as
p
⋅
q
p\cdot q
p
⋅
q
, where
p
p
p
and
q
q
q
are prime numbers. Find the sum of the prime factors of
p
+
q
−
1
p+q-1
p
+
q
−
1
.
Back to Problems
View on AoPS