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India Pre-Regional Mathematical Olympiad
2019 India PRMO
18
Factors Of A Prime
Factors Of A Prime
Source: PRMO Leg 2 P18
August 25, 2019
Problem Statement
What is the smallest prime number
p
p
p
such that
p
3
+
4
p
2
+
4
p
p^3+4p^2+4p
p
3
+
4
p
2
+
4
p
has exactly
30
30
30
positive divisors ?
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