The fast-growing hierarchy (FGH) is a mathematical framework used to classify and generate functions that grow at nearly incomprehensible speeds. A fast-growing hierarchy calculator allows researchers and math enthusiasts (known as googologists) to compute or estimate the massive outputs of these functions by inputting specific ordinal numbers and natural numbers. What is the Fast-Growing Hierarchy? The FGH is a family of functions is an ordinal number and
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| Function | Formula | Calculator Input | Result | | --- | --- | --- | --- | | F1 | n + 1 | n = 5 | 6 | | F2 | 2n | n = 5 | 10 | | F3 | 2^n | n = 5 | 32 | | F4 | 2^(2^n) | n = 5 | 2^(2^5) = 2^32 = 4,294,967,296 | fast growing hierarchy calculator
Show small numeric checks (calculator can output exact for these small α,n). The fast-growing hierarchy (FGH) is a mathematical framework
To give you a sense:
( f_\omega^\omega(3) ) is a number so large that writing it down in standard notation would require more digits than there are particles in the observable universe—by an absurd margin. The FGH is a family of functions is