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If it turns out that a problem is equivalent to a known open problem, then the open-problem tag is added. After that, the question essentially becomes, "What is known about this problem? What are some possible ways to approach this problem? What are some ways that people have tried to attack it before, and with what results?"
60
votes
Polynomial representing all nonnegative integers
The search turned up a 1981 paper by John S.Lew (in the Unsolved problems section)
Polynomials in Two Variables Taking Distinct Integer Values at Lattice-Points
which discusses related problems, and …
4
votes
Can $N^2$ have only digits 0 and 1, other than $N=10^k$?
If that's of interest to anyone, here are the results of my Python program that was trying to find a possible prefix starting from 1:
(number of digits) (prefixes found) (random prefix's square)
1 1 …