As a reminder, the Erdős–Straus conjecture is: .
Let , we can see if is even, then and so the conjecture holds for all even . In fact this holds for also.
For odds it’s not so simple, though an expansion does exist for the odd numbers of the form
- I bought a book (cartesianproduct.wordpress.com)
- The Erdős – Straus conjecture (cartesianproduct.wordpress.com)