The penteicosillion is equal to \(10^{3\times 10^{75}+3}\) or \(10^{3\text{ quattuorvigintillion }3}\).[1]
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Arrow notation | \(1000\uparrow(1+10\uparrow75)\) | |
Down-arrow notation | \(1000\downarrow\downarrow26\) | \(479\downarrow\downarrow29\) |
Steinhaus-Moser Notation | 44[3][3] | 45[3][3] |
Copy notation | 2[2[76]] | 3[3[76]] |
H* function | H(H(24)) | |
Taro's multivariable Ackermann function | A(3,A(3,249)) | A(3,A(3,250)) |
Pound-Star Notation | #*((1))*(3,7,3,2)*8 | #*((1))*(0,6,3,3,5)*5 |
BEAF | {1000,1+{10,75}} | |
Hyper-E notation | E(3+3E75) | |
Bashicu matrix system | (0)(1)[15] | (0)(1)[16] |
Hyperfactorial array notation | (55!)! | (56!)! |
Fast-growing hierarchy | \(f_2(f_2(244))\) | \(f_2(f_2(245))\) |
Hardy hierarchy | \(H_{\omega^22}(244)\) | \(H_{\omega^22}(245)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega7+5}3+3}}(10)\) |