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Googology Wiki

Primofaxul (which is inspired by Lawrence Hollom's Faxul) was coined by SuperJedi224.[1]

It is defined as 200#, that is, the product of all primes less than 200. Much smaller than the Faxul (it is in fact comparable to 60!), it is equal to 7,799,922,041,683,461,553,249,199,106,329,813,876,687,996,789,903,550,945,093,032,474,868,511,536,164,700,810.

The prime factorization of this number is: 2×3×5×7×11×13×17×19×23×29×31×37×41×43×47×53×59×61×67×71×73×79×83×89×97×101×103×107×109×113×127×131×137×139×149×151×157×163×167×173×179×181×191×193×197×199


Notation Lower bound Upper bound
Scientific notation \(7.799\times10^{81}\) \(7.8\times10^{81}\)
Arrow notation \(22\uparrow61\) \(29\uparrow56\)
Steinhaus-Moser Notation 48[3] 49[3]
Copy notation 7[82] 8[82]
Taro's multivariable Ackermann function A(3,269) A(3,270)
Pound-Star Notation #*(3,7,1,6,1,3,2)*7 #*(4,7,1,6,1,3,2)*7
BEAF {22,61} {29,56}
Hyper-E notation 7E81 8E81
Bashicu matrix system (0)(0)(0)(0)(0)[362] (0)(0)(0)(0)(0)[363]
Hyperfactorial array notation 59! 60!
Fast-growing hierarchy \(f_2(263)\) \(f_2(264)\)
Hardy hierarchy \(H_{\omega^2}(263)\) \(H_{\omega^2}(264)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+4}6}(9)\) \(g_{\omega^{\omega6+3}9}(12)\)


See also

Numbers By SuperJedi224

Fibonacci Numbers

Pound-Star Notation

Based on the Faxul

Primofaxul · Minor Faxul

Googovipleccix family

Graham Sequence Numbers

-Illion numbers