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No such proof can exist within consistent axioms - to add 1 to Graham's number would generate a larger number, and so, by this counterexample, Graham's number cannot be the largest.

It is the largest used in a mathematical proof, because all proofs have been noted in a proof 'by exhaustion', in which all cases (in this case, proofs) have been verified to have smaller constants .

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13y ago
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12y ago

It is so big that it literally cannot be written down, if each digit of graham's number were written down so small that each digit took up 1 plank volume, the written number would take up a space larger than the observable universe.

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Q: Proof that grahams number is the largest number?
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Related questions

What is Graham's largest number?

grahams largest number is 92


What is the highest number that people know?

The largest defined number is a Graham's number.


What is grahams number used for?

There is virtually no use of grahams number.


Why are there an unknown amount of digits in graham's number?

You can never get to grahams number. Grahams number can never be specified. It is the biggest number ever counted.


Is there a number bigger than graham's number?

Yes, there is, but it has no name, for grahams number was and is still the largest number with a name. To make a number larger than grahams number, you just need to make grahams number 1, but it would not have a name because it is not official, and if you try to write it down, you could not, because all matter in the universe transformed into pen ink could not write it down. And if you tried to type it, your computer or whatever you where typing it on would fail.


What is the largest number in natural number?

Numbers can go on and on forever, but most people use ∞ to show infinity, which also means endless.They are endless, but the biggest number is 9 that goes forever.the largest known natural number is a killilionDefinition- million^googolseptplex^G6!^Grahams number=Killilionand the largest useful known number with -illion at the end that is used is a NovemcentillionDefinition- thousand^112 or the 109tg number the the system


Would you have of heard of grahams number?

If you are a mathematician then you almost certainly would have.


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Odd - the last ten digits of Graham's number are ...2464195387.


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Golden Grahams of course! Golden Grahams of course!


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Teddy Grahams was created in 1988.


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What is the name of the highest number named?

The largest number known so far is called Grahams number. I don't know exactly how big it is, I just know it's bigger than a googleplex. A "google" is a 1 followed by 100 zeros, and a googleplex is a 1 followed by a google of zeros.