5
votes
4answers
536 views

Erdös-Straus conjecture

I'm reading a lot about the Erdös-Straus Conjecture (ESC), a conjecture that states that for every natural number $p \geq 2$, there exists a set of natural numbers $a, b, c$ , such that the following ...
1
vote
1answer
174 views

On expressing a square as a sum of two cubes

Given $a,b,c \in \mathbb{N}$ which satisfy the following conditions: $a^3 + b^3 = c^2$ $ a \neq b$ =-=-=-=-=-=-=-=-=-=-=-=-=-= EDIT, Will Jagy: The conjecture is that, for a given $c,$ there are ...
8
votes
3answers
632 views

Branches of mathematics not having a general method to solve

I studied applied math, so each course (except abstract algebra) was dedicated to solution of a similar problems. After those courses it seems that every branch of mathematics has a developed theory ...