I know that AI/AGI and mathematics are intertwined but are there open problems in AI/AGI which can be stated in explicit and exact mathematical terms - in the sense that ideally a mathematician can solve them with zero knowledge of AI/AGI concepts like neural networks, machine learning and so on,...
I want to prove that, given this equation:
$$
\prod_{i=1}^N \left(3+\frac{1}{y_i}\right) = 2^k
$$
any power of 2 can be reached by at most one unique multiset of positive integers $y_i$ (being all congruent to 1 or 5 (mod 6)). How do you approach this problem?
I want to prove that, given this equation:
$$
\prod_{i=1}^N \left(3+\frac{1}{y_i}\right) = 2^k
$$
any power of 2 can be reached by at most one unique multiset of positive integers $y_i$ (being all congruent to 1 or 5 (mod 6)). How do you approach this problem?
