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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.

## DescriptionEdit

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:

$$2^{2^{79}}+3^{2^{83}}+5^{2^{89}}+7^{2^{97}}$$

The first two prime factors of this number are 3 and 487811; there are no other prime factors underneath ten million. The magnitude of this number is approximately $$10^{10^{29.126}}$$, or a googol squared repeatedly just over 94 times.

## ApproximationsEdit

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)[94] (0)(1)[95]
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 $$g_{\omega^{\omega^{\omega2+9}}}(10)$$ $$g_{\omega^{\omega^{\omega2+9}2}}(10)$$