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Taery
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Collatz_conjecture_100m

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1
5.03k
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End of preview. Expand in Data Studio
5

Collatz_conjecture_100m

Hello, this is the Collatz conjecture dataset.

The Collatz conjecture

  • n is even number, Divide by 2.
  • n is odd number, multiply by 3 and add 1.
  • repeat, See if it goes to 1.
  • Does it apply to all natural numbers?

This concise problem has not yet been proven. This problem is also famous for its beautiful graphs. The dataset contains the paths from 1 to 100 million natural numbers leading to 1. The path where a single digit in a row becomes 1 is displayed, separated by commas. Due to the file size, there is also a 10k-line sample (txt file). The file is in Parquet format, with 100 rows per bundle. Each bundle contains paths to one million numbers.

example(original data, Take long time..) 

from datasets import load_dataset
dataset = load_dataset("Taery/Collatz_conjecture_100m")

import pandas as pd
row=pq_file.read_row_group(1) #1m rows
df=row.to_pandas()
df

use sample file(recommed) 

from datasets import load_dataset

ds = load_dataset("Taery/Collatz_conjecture_100m", data_files="collatz_10k_sample.txt")
coll_data=list(ds['train']['text'])
coll_data

Draw beautiful graphs using the dataset and get ideas for difficult problems.
https://github.com/TaeKyungg2/Collatz-Conjecture
This is the GitHub repository for the code used to generate the data.
https://book.taery.blog/collatz-conjecture
project story 4 5 1 2 2 6 3

Experience the beauty of mathematics.

Downloads last month
440
Size of the auto-converted Parquet files (First 5GB):
1.39 GB
Number of rows (First 5GB):
5,999,998
Estimated number of rows:
87,309,740