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India Contests
India Pre-Regional Mathematical Olympiad
2017 India PRMO
23
Algebra equation
Algebra equation
Source: PRMO 2017
September 15, 2017
algebra
number theory
prime numbers
Problem Statement
Suppose an integer
x
x
x
, a natural number
n
n
n
and a prime number
p
p
p
satisfy the equation
7
x
2
ā
44
x
+
12
=
p
n
7x^2-44x+12=p^n
7
x
2
ā
44
x
+
12
=
p
n
. Find the largest value of
p
p
p
.
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