Skip to main content

Iterating the first 10 million digits of pi

Image
By

Continuing from my last blog post : Did you know that the 100-trillionth decimal place of π (pi) is 0? That is according to work done by Google in 2022. It took them 157 days to calculate 100 trillion digits of pi. It would be cool to know the 10 digits before and the 10 digits after. Numbers and patterns and coincidences and serendipity fascinates me. It was the usual quiet morning for me. I found that I could download the first 10 million digits of pi and I set out with the help of Bard and my curiousity to see what unusual, interesting or outstandish things I could find. Like how many times my birthday 2305 occurs or the the next 2 digits after the sequence formed with the last 3 play whe numbers. You can get pretty creative with what you look for in pi like in this youtubes - I found Amongi in the digits of pi

Ha! I found the last 10 of the first 100 trillion digits of pi when I saw another video by the same guy. They are 3095295560. First glance and nothing stands out except that 5 occurs the most and 3 times. It is nice that they have tools to calculate and verify the results with an extremely small chance of error.


I tried to download directly from Chrome mobile but it kept crashing. I used the following code to download from python instead.

import requests

url = "http://www.cs.princeton.edu/introcs/data/pi-10million.txt"

try:
    response = requests.get(url)
    response.raise_for_status()  # Raise an exception for error status codes

    text_content = response.text

    with open("pi10million.txt", "w") as file:  # Customize filename if needed
        file.write(text_content)

    print("Text file saved successfully!")

except requests.exceptions.RequestException as e:
    print("An error occurred:", e)

This is an example of the type of probing I have done so far. The code runs reasonably fast on my 5 year old budget android phone.

with open("pi10million.txt", "r") as file:
    pi_string = file.read()  # Read the entire file as a string

# Find all starting positions of "230580"
occurrences = [i for i in range(len(pi_string)) if pi_string.startswith("230580", i)]

# Calculate and print the number of digits between occurrences
if len(occurrences) > 1:
    for i in range(1, len(occurrences)):
        distance = occurrences[i] - occurrences[i-1] - 6  # Subtract the length of "230580" (6 digits)
        print(f"Number of digits between occurrences {i} and {i+1}: {distance}")
else:
    print("No consecutive occurrences of '230580' found in the file.")
Labels:

Comments

Post a Comment

Popular posts from this blog

Hobby project - Store and view exchange rates

By
The next step in my project was to test out being able store and display the rates in a database. I decided to use nodejs and supabase for this. Everything worked beautifully. Only hickup was the following error due to my package.json not being correct. SyntaxError: Cannot use import statement outside a module Added this to package.json   "type": "module" This works beautifully. Right now I am just testing fragments of what could be part of a bigger system to see what is possible and what works and how easy to code on a mobile. There is no fully functioning integrated end to end system just yet. This is also what I tested. A serverless append-only database using GitHub + Actions + Pages. That’s basically a lightweight backend system. This was the ChatGPT prompt I used. Guide me through each step. This is what I want. A manually run github actions that adds to docs/data.json with the current date and time. docs/index.html displays all the entries in data.json. Make s...
Post a Comment
Read more

What is important

By
Every now and again, I get reminded of the why. Why I have handed my life over to God. It is 3:08 p.m. and I have decided to write. Honestly, I feel like I could end this blog post right here. What more is there to say? God above all else. God is our compass on this journey called life. Everything else can become a distraction. Maybe not everything, but certainly many things. You get the point. What is important? What do we prioritise? What do we make time for? The answers look different for everyone. Our lives are different. We are tested differently. We are all products of our circumstances, and those circumstances vary from person to person. Yet God is the common thread across humanity and throughout time. God always was and always will be. One day, we will answer to God. We will give account to God. We cannot live without food, water, and oxygen, but all of those things come from God. So how can we live without God? How timely. I just received a notification from the Quranly app: S...
Post a Comment
Read more

Hobby coding project - Queries for play whe data

By
I have an interest in open data and being able to query that data and gain beautiful insights. One data set that would be interesting is the play whe results data. Our open data is lacking in Trinidad and I will try to contact NLCB to see if they can provide and maintain the data online. But in the meanwhile I will use randomised data to create the website and do my testing. First thing I did was install sqlite on termux pkg update && pkg upgrade pkg install sqlite sqlite3 --version Create my database in my project folder sqlite3 results.db Useful commands .exit .quit Exit from multiline prompt ; SQL to create my table (create_tbl_results.sql) CREATE TABLE DrawResults (     DrawNo INTEGER PRIMARY KEY,                           DrawDate DATE,     ResultNo INTEGER CHECK (ResultNo BETWEEN 1 AND 36),     DrawTime INTEGER CHECK (DrawTime BETWEEN 1 AND 4) ); SQL to create the random dat...
Post a Comment
Read more