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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
2
votes
Can we color Z^+ with n colors such that a, 2a, ..., na all have different colors for all a?
I suggested in a comment, to look for colorings that are the same for each a, except for a fixed permutation.
Suppose the colors are given by function c(x), for x ≥ 1. And a permutation function p(i, …
10
votes
Undecidable easy arithmetical statement
To talk about undecidability, you have to specify the system.
I consider the simplest system in which you can do real mathematics a system with proof strength $I\Sigma_1$ (feel free to disagree).
In …