SCP-1941 is an entry on the SCP Foundation website. The SCP Foundation is a creative writing wiki centered around the fictional namesake organization that catalogs, studies and contains objects that violate natural law.
Description
SCP-1941 is an alien von Neumann probe that landed on the Moon and began constructing a network of black web-like structures on the far side of the Moon. The probe will stop the replication of itself once a signal has been recieved from humanity as concerns the factors of the following integer:
\(2^{2^{79}}+3^{2^{83}}+5^{2^{89}}+7^{2^{97}}\)[1]
The first two prime factors of this number are 3 and 487811, and there are no other prime factors underneath \(2 \times 10^9\) according to a Japanese Googology Wiki user LPer NATTO. [2] The magnitude of this number is approximately \(10^{10^{29.126}}\), or a googol squared repeatedly just over 94 times.
Approximations
| Notation | Lower bound | Upper bound |
|---|---|---|
| Arrow notation | \(7\uparrow2\uparrow97\) | \(946\uparrow14\uparrow25\) |
| Down-arrow notation | \(736\downarrow\downarrow11\) | \(737\downarrow\downarrow11\) |
| Steinhaus-Moser Notation | 20[3][3] | 21[3][3] |
| Copy notation | 1[1[30]] | 2[2[30]] |
| H* function | H(44H(8)) | H(45H(8)) |
| Taro's multivariable Ackermann function | A(3,A(3,95)) | A(3,A(3,96)) |
| Pound-Star Notation | #*((1))*(5)*18 | #*((1))*(0,2,2)*5 |
| BEAF | {7,{2,97}} | {946,{14,25}} |
| Hyper-E notation | E29#2 | E(2E29) |
| Bashicu matrix system | (0)(1)[9] | (0)(1)[10] |
| Hyperfactorial array notation | (26!)! | (27!)! |
| Fast-growing hierarchy | \(f_2(f_2(91))\) | \(f_2(f_2(92))\) |
| Hardy hierarchy | \(H_{\omega^22}(91)\) | \(H_{\omega^22}(92)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega2+9}}}(10)\) | \(g_{\omega^{\omega^{\omega2+9}2}}(10)\) |
External links
Sources
- ↑ scp-wiki.net/scp-1941
- ↑ LPer NATTO, LPerNATTO/SCP1941, GitHub. (The source code to compute prime factors.)
