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National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2015 India PRMO
15
PRMO 2015. p15.
PRMO 2015. p15.
Source:
April 9, 2024
number theory
Digits
prime numbers
Problem Statement
15.
15.
15.
Let
n
n
n
be the largest integer that is the product of exactly
3
3
3
distinct prime numbers,
x
,
y
,
x,y,
x
,
y
,
and
10
x
+
y
,
10x+y,
10
x
+
y
,
where
x
x
x
and
y
y
y
are digits. What is the sum of digits of
n
?
n ?
n
?
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