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The Biggest Numbers Our Brains Can Fathom
Graham's Number, Explained By Ronald Graham
Hear about math's biggest number from the man who came up with it.
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Key Facts In This Video

If you tried to picture Graham's number, your head would collapse into a black hole because your head cannot store the information required to imagine it. 00:30

Three to the power of three to the power of three would be written as 3^(3^3), and the sum exceeds 7 trillion. 01:52
The Largest Number Before Graham
Hear about the math problem that led to this enormous number.
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Key Facts In This Video

Before Graham's number, the largest number to be used in a mathematical proof was Skewes's number. 00:30

Skewes' Number is trillions and trillions and trillions of digits long. A googol is only 100 digits long. 00:47

Here's the problem the mathematicians were solving with this number. 02:10
What's The Difference Between a Googol and a Googolplex?
They're not the biggest numbers in the universe, but they are impressively massive.
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Key Facts In This Video

A googol is 10 raised to the power of 100—in other words, a 1 with 100 zeroes after it. 00:33

A googolplex is 10 raised to the power of googol. 02:53

A universe that was a googolplex meters across would likely contain repeated versions of yourself. 03:56
The Story of Math's Biggest Numbers
There's a strange coincidence hiding in one large number.
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Key Facts In This Video

Avogadro's number tells us how many atoms are in a lump of material. 01:32

10^40, or just N, corresponds to two important principles in physics. 03:15

Here's how Robert Dicke sorted out the strange coincidence of 10^40 corresponding to both of these principles. 06:23