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ISI B.Math Entrance Exam
2006 ISI B.Math Entrance Exam
2
B.Math - prime
B.Math - prime
Source:
June 17, 2012
algebra
polynomial
algebra proposed
Problem Statement
Prove that there is no non-constant polynomial
P
(
x
)
P(x)
P
(
x
)
with integer coefficients such that
P
(
n
)
P(n)
P
(
n
)
is a prime number for all positive integers
n
n
n
.
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