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India Pre-Regional Mathematical Olympiad
2014 India PRMO
1
2014 preRMO p1, largest prime factor of k if k^2 < 2014 < (k +1)^2,
2014 preRMO p1, largest prime factor of k if k^2 < 2014 < (k +1)^2,
Source:
August 9, 2019
number theory
prime
factor
maximum
Problem Statement
A natural number
k
k
k
is such that
k
2
<
2014
<
(
k
+
1
)
2
k^2 < 2014 < (k +1)^2
k
2
<
2014
<
(
k
+
1
)
2
. What is the largest prime factor of
k
k
k
?
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