# Fast response to: how many digits does Graham’s number have?

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The exact number of digits in Graham’s number is unknown, but it is an extremely large number, far beyond the scope of human comprehension.

Graham’s number is an extremely large number used in the study of Ramsey theory and represented by the following mathematical notation: G = g^{g^{g^{g^{…}}}}. It was named after Ronald Graham, the mathematician who first proposed it as an upper bound solution to an unsolved mathematical problem in 1971.

The exact number of digits in Graham’s number is impossible to determine as it is so large that it exceeds the maximum number of particles in the observable universe. As astronomer and science communicator Carl Sagan famously put it, “The

Mathematicians Tony Padilla and Matt Parker discuss arrow notation, used to represent very large numbers and particularly in combinatorics problems. They discuss the concept of Graham’s number and its development as the maximum possible number of people needed to be in committees with certain conditions on connections, using arrow notation to show how the number increases and its scale, which lies between 6 and Graham’s number. Despite being smaller than infinity, which is currently used in mathematical proofs, Graham’s number is shockingly large, with only its last 500 digits known and its first digit unknown. The video ends with an interesting anecdote about Graham, who was a mathematician and circus performer.

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## There are other opinions

Answer: about 9 × 10 184 . That’s bigger than a googol, but a lot smaller than a googolplex, and so just two applications of a log would cut it to size.

Graham’s number can be described as 1 followed by one hundred 0s, so it has 101 digits. While we might never be able to find out the first digit of Graham’s number, we know that its last digit is 7. In fact, Graham’s number has been calculated backwards, and we know around 400 to 500 of its last digits. Graham’s number is still a zero to infinity, no matter how seemingly big or mind-boggling it seems to be.

It can be described as 1 followed by one hundred 0s. So, it has 101 digits.

We might never be able to find out the first digit of Graham’s number, but we know that its last digit is 7. In fact, Graham’s number has been calculated backwards, we know around 400 to 500 of its last digits. While no matter how seemingly big or mind-boggling this number seems to be, it is still a zero to infinity.

### What is the last digit of Graham’s number?

The reply will be: Graham’s number ends in a 7. It is a massive number, in theory requiring more information to store than the size of the universe itself.

### What is the first digit of Graham’s number?

Rightmost decimal digits

Number of digits (d) 3↑x 3↑3↑x
1 4 (1,3,9,7) 2 (3,7)
2 20 (01,03,…,87,…,67) 4 (03,27,83,87)
3 100 (001,003,…,387,…,667) 20 (003,027,…387,…,587)

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### Is Graham’s number the biggest number?

In reply to that: Graham’s Number is so huge that it cannot be written down – the universe is simply not big enough. In fact, even specifying this number defies what’s possible using common mathematical notation.

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### What is Graham’s number symbol?

Answer will be: Graham’s number (G) is a very big natural number that was defined by a man named Ronald Graham. Graham was solving a problem in an area of mathematics called Ramsey theory.

### Is Graham’s number a base 10 number?

The response is: And Graham’s number is large enough such that its number of digits is itself not a number that can be efficiently written down in base 10 either.

### How big is Graham’s number?

Graham’s number is much larger than any other number you can imagine. It is so large that the observable universe is far too small to contain an ordinary digital representation of Graham’s number, assuming that each digit occupies one Planck volume which equals to about 4.2217\times 10^ {-105}\text { m}^ {3} 4.2217× 10−105 m3.

### Is Graham’s number a recursive number?

As a response to this: As there is a recursive formula to define it, it is much smaller than typical busy beaver numbers. Though too large to be computed in full, the sequence of digits of Graham’s number can be computed explicitly via simple algorithms; the last 13 digits are7262464195387.

### What is Ronald Graham’s number?

Answer to this: Nobody knows what the first digit of Graham’s number is, but the last digit is 7, in case it ever comes up in dinner conversation. Why would anyone need a number like this you ask? Mathematician Ronald Graham came up with it when talking to another mathematician named Martin Gardner.

### How big is Graham’s number?

Response: Graham’s number is much larger than any other number you can imagine. It is so large that the observable universe is far too small to contain an ordinary digital representation of Graham’s number, assuming that each digit occupies one Planck volume which equals to about 4.2217\imes 10^ {-105}\ext { m}^ {3} 4.2217× 10−105 m3.

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### Is Graham’s number a base 10 number?

And Graham’s number is large enough such that its number of digits is itself not a number that can be efficiently written down in base 10 either.

### What is Ronald Graham’s number?

As an answer to this: Nobody knows what the first digit of Graham’s number is, but the last digit is 7, in case it ever comes up in dinner conversation. Why would anyone need a number like this you ask? Mathematician Ronald Graham came up with it when talking to another mathematician named Martin Gardner.

### Is Graham’s number a recursive number?

As a response to this: As there is a recursive formula to define it, it is much smaller than typical busy beaver numbers. Though too large to be computed in full, the sequence of digits of Graham’s number can be computed explicitly via simple algorithms; the last 13 digits are7262464195387.

## Fascinating Facts

Topic fact: Graham number was first invented by Benjamin Graham so that people can know the actual value of a stock; he also gave some formulas & ranges. Therefore, you can directly use the calculator to find the book value per share & earnings per share value before using them.
And did you know: The Graham number quickly weeds out overpriced businesses. You won’t invest in the Facebooks (FB), Googles (GOOG), or Amazons (AMZN) of the investing world by using the Graham number. The S&P 500 is currently trading for a price-to-earnings multiple of around 25. Applying the Graham Number to the S&P 500 yields interesting results. Clearly, Buffett is heavily influenced by Graham.
Fact: Benjamin Graham developed the Graham number concept when interest rates were higher; thus, stock valuations were tighter. At that time, it was easier to find companies with PE and PB ratios below 15 and 1.5, respectively.
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