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Legion's Numbers


Legion's number of the first kind is defined as

L_1=666^(666)
(1)
=27154..._()_(1871 digits)98016,
(2)

where 666 is the beast number. It has 1881 decimal digits.

Legion's number of the second kind is defined as

L_2=666!^(666!)
(3)
=40732541..._()_(many digits)17871093760...0_()_(165·666!).
(4)

It has approximately 1.609941×10^(1596) digits, and ends with 165·666! trailing zeros.


See also

Apocalyptic Number, Beast Number, Evil Number, Factorial, Leviathan Number

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References

Pickover, C. A. "Legion's Number." Ch. 28 in The Mathematics of Oz: Mental Gymnastics from Beyond the Edge. New York: Cambridge University Press, pp. 64-65 and 269-274, 2002.

Referenced on Wolfram|Alpha

Legion's Numbers

Cite this as:

Weisstein, Eric W. "Legion's Numbers." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LegionsNumbers.html

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