Is the Euler–Mascheroni constant an algebraic number or a transcendental number?

“We must know. We will know!”

“The conviction of the solvability of every mathematical problem is a powerful incentive to the worker. We hear within us the perpetual call: There is the problem. Seek its solution. You can find it by pure reason, for in mathematics there is no ignorabimus.” — David Hilbert.

A Brief Analysis of the Collatz Conjecture

Algorithm for the Collatz Conjecture. Remark: If n = 1, the algorithm terminates all computations. Crucial Idea: R+ is a dense set. Remark: R+ is the set of all positive real numbers. We claim over the Collatz sequence of positive odd integers, from to where the index, t, is the number of trials it takesContinue reading “A Brief Analysis of the Collatz Conjecture”