MathDB

[*]Is there a non-linear integer-coefficient polynomial

P(x)

and an integer

N{}

such that all integers greater than

N{}

may be written as the greatest common divisor of

P(a){}

and

P(b){}

for positive integers

a>b

? [*]Is there a non-linear integer-coefficient polynomial

Q(x)

and an integer

M{}

such that all integers greater than

M{}

may be written as

Q(a) - Q(b)

for positive integers

a>b

? Proposed by Dylan Toh

Problem Statement