Fast Growing Hierarchy Calculator _hot_ Jun 2026

Let’s trace a tiny example to appreciate the explosion:

If you did compute ( f_\omega+1(4) ) as an integer, you’d need more than ( 10^100 ) bits of memory—physically impossible. Hence any honest FGH calculator never expands to a full integer; it stays in a compressed symbolic form unless the result is tiny. fast growing hierarchy calculator

GitHub repository contains Python code for various FGH notations and a helper function to view calculations step-by-step. JavaScript : Most browser-based calculators mentioned above use ExpantaNum.js Let’s trace a tiny example to appreciate the

But what exactly is an FGH calculator? Can a machine truly compute the uncomputable? How do you use one? And why would anybody want to? fast growing hierarchy calculator