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Does there exist a polynomial $f(x)\in\mathbb{Z}[x]$ such that all the sums $f(a)+f(b)$ with $a<b$ nonnegative integers are distinct?
#324
:
[ErGr80]
number theory
,
powers
Erdős and Graham describe this problem as 'very annoying'. Probably $f(x)=x^5$ should work.
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