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PEN Q Problems
2
2
Part of
PEN Q Problems
Problems
(1)
Q 2
Source:
5/25/2007
Prove that there is no nonconstant polynomial
f
(
x
)
f(x)
f
(
x
)
with integral coefficients such that
f
(
n
)
f(n)
f
(
n
)
is prime for all
n
ā
N
n \in \mathbb{N}
n
ā
N
.
algebra
polynomial
calculus
integration
pigeonhole principle
Polynomials