This shows that the statement is true for these examples, but to prove that it is true all the time we can use algebra. Write the first of the two even numbers as \(2n\), where \(n\) is an integer.

Professors Amir Ali Ahmadi and Pravesh Kothari are pioneering the use of artificial intelligence to enhance complex mathematical proof systems, with applications in robotics, optimization, and ...

Proof Mining: A technique in mathematical logic that systematically extracts effective bounds and constructive information from proofs that are originally non-constructive.

IT is unfortunate that F. P. Wolfkehl's legacy of a prize for settling the vexed question of “Fermat's Last Theorem” should have stimulated such a large erroneous mathematical literature. Most ...