Post History
How many digits of $\pi$ can you fit into a square root? Rules Your answer is a non-negative integer $N$. Highest score wins. Your score is the number of initial digits after the decimal poin...
#2: Post edited
by
trichoplax
·
2026-03-17T23:35:10Z (6 months ago)
Use MathJax more
- How many digits of $\pi$ can you fit into a square root?
- ## Rules
- - Your answer is a non-negative integer $N$.
- - Highest score wins.
- - Your score is the number of initial digits after the decimal point of $\sqrt{N}$ that match the initial digits of $\pi$.
- - No rounding is permitted of the digits of either $\pi$ or the square root.
- - For this challenge, the digits of $\pi$ include the initial `3`:
- ```txt
- 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067
- ```
- ## Examples
- ### Zero matches
- The integer 2 has square root 1.4...- The digits after the decimal point are 4...- There are 0 digits of $\pi$ matching so its score is 0.- ### Two matches
- The integer 11 has square root 3.316...- The digits after the decimal point are 316...- There are 2 digits of $\pi$ matching so its score is 2.- ### No rounding
- The integer 128 has square root 11.3137...- The digits after the decimal point are 3137...- There are 2 digits of $\pi$ matching so its score is 2.- Note that 11.3137... cannot be rounded to 11.314 to match 3 digits. No rounding is permitted.- ## Answer format
- The automated leaderboard will include your answer provided you use the correct answer format:
- ````text
- ## Language name, 3 matching digits
- Optional arbitrary text.
- ```txt
- Your competing integer in a code block
- ```
- Optional arbitrary text.
- ```
- The code you used to find your competing integer
- ```
- Optional arbitrary text.
- ````
- Putting your competing integer in a code block makes it easy for people to copy it for verification.
- The leaderboard shows the last score present in the heading of your answer. This allows for including previous scores if you make improvements.
- ## Verification
- You can check the score of your own integer, or the integer from another answer, using the [root to digits of pi validator](https://trichoplax.github.io/root-to-digits-of-pi-validator/).
- > Explanations in answers are optional, but I'm more likely to upvote answers that have one.
- How many digits of $\pi$ can you fit into a square root?
- ## Rules
- - Your answer is a non-negative integer $N$.
- - Highest score wins.
- - Your score is the number of initial digits after the decimal point of $\sqrt{N}$ that match the initial digits of $\pi$.
- - No rounding is permitted of the digits of either $\pi$ or the square root.
- - For this challenge, the digits of $\pi$ include the initial `3`:
- ```txt
- 3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067
- ```
- ## Examples
- ### Zero matches
- - The integer $2$ has square root $1.4\ldots$
- - The digits after the decimal point are $4\ldots$
- - There are $0$ digits of $\pi$ matching so its score is $0$.
- ### Two matches
- - The integer $11$ has square root $3.316\ldots$
- - The digits after the decimal point are $316\ldots$
- - There are $2$ digits of $\pi$ matching so its score is $2$.
- ### No rounding
- - The integer $128$ has square root $11.3137\ldots$
- - The digits after the decimal point are $3137\ldots$
- - There are $2$ digits of $\pi$ matching so its score is $2$.
- - Note that $11.3137\ldots$ cannot be rounded to $11.314$ to match $3$ digits. No rounding is permitted.
- ## Answer format
- The automated leaderboard will include your answer provided you use the correct answer format:
- ````text
- ## Language name, 3 matching digits
- Optional arbitrary text.
- ```txt
- Your competing integer in a code block
- ```
- Optional arbitrary text.
- ```
- The code you used to find your competing integer
- ```
- Optional arbitrary text.
- ````
- Putting your competing integer in a code block makes it easy for people to copy it for verification.
- The leaderboard shows the last score present in the heading of your answer. This allows for including previous scores if you make improvements.
- ## Verification
- You can check the score of your own integer, or the integer from another answer, using the [root to digits of pi validator](https://trichoplax.github.io/root-to-digits-of-pi-validator/).
- > Explanations in answers are optional, but I'm more likely to upvote answers that have one.
#1: Initial revision
by
trichoplax
·
2026-03-17T22:12:56Z (6 months ago)
Root to digits of π
How many digits of $\pi$ can you fit into a square root?
## Rules
- Your answer is a non-negative integer $N$.
- Highest score wins.
- Your score is the number of initial digits after the decimal point of $\sqrt{N}$ that match the initial digits of $\pi$.
- No rounding is permitted of the digits of either $\pi$ or the square root.
- For this challenge, the digits of $\pi$ include the initial `3`:
```txt
3141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067
```
## Examples
### Zero matches
- The integer 2 has square root 1.4...
- The digits after the decimal point are 4...
- There are 0 digits of $\pi$ matching so its score is 0.
### Two matches
- The integer 11 has square root 3.316...
- The digits after the decimal point are 316...
- There are 2 digits of $\pi$ matching so its score is 2.
### No rounding
- The integer 128 has square root 11.3137...
- The digits after the decimal point are 3137...
- There are 2 digits of $\pi$ matching so its score is 2.
- Note that 11.3137... cannot be rounded to 11.314 to match 3 digits. No rounding is permitted.
## Answer format
The automated leaderboard will include your answer provided you use the correct answer format:
````text
## Language name, 3 matching digits
Optional arbitrary text.
```txt
Your competing integer in a code block
```
Optional arbitrary text.
```
The code you used to find your competing integer
```
Optional arbitrary text.
````
Putting your competing integer in a code block makes it easy for people to copy it for verification.
The leaderboard shows the last score present in the heading of your answer. This allows for including previous scores if you make improvements.
## Verification
You can check the score of your own integer, or the integer from another answer, using the [root to digits of pi validator](https://trichoplax.github.io/root-to-digits-of-pi-validator/).
> Explanations in answers are optional, but I'm more likely to upvote answers that have one.