Tool to search for numbers in decimals of the constant Pi = 3.14159. Pi contains (until proven otherwise) an infinite number of decimals among which, maybe, all numbers or sequences of digits.

Pi Digits 3.14159… - dCode

Tag(s) : Mathematics, Fun/Miscellaneous

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To find a pattern of digits among the decimals of Pi, calculate the decimals and browse through them in order. It is not possible to predict the position of a number in the constant circle π.

__Example:__ `1` is in position `1` and `3` in `3.14159…`

For dCode the first decimal `1` in 3.**1**4159 is in position `1`. Some programs take the position 0 (some computers count from 0), others take the position 2 (counting the number `3` before the decimal point/dot as the position 1).

There are an infinite number of decimal places in the number Pi. Computers calculate new ones daily. dCode knows the pi decimals until 1000000 (one million digits of pi).

A number in which all other numbers can be found is called a rich number. Today it is not mathematically proven that Pi is a rich/disjunctive number. If dCode does not find a number or a date, it is probably that it is beyond the first 1 million decimals.

Records are constantly improving, but the latest results are:

2009 | 2700 billions |
---|---|

2010 | 5000 billions |

2011 | 10 trillions |

2013 | 12.1 trillions |

2014 | 13.3 trillions |

2016 | 22.459 trillions |

2020 | 50 trillions |

2021 | 62.8 trillions |

World records use the formula of the Chudnovsky brothers $$ \frac{1}{\pi} = 12 \sum^\infty_{k=0} \frac{(-1)^k (6k)! (13591409 + 545140134k)}{(3k)!(k!)^3 640320^{3k + 3/2}} $$

The 50,000 billion first decimal places of pi are available on a Google server here (link) but for information, in order to download them, provide a hard drive of 40 Tb (40,000 Giga-bytes)

The number Pi has an infinite number of digits after the decimal point. Talking about Pi's latest digits is a mathematician's joke.

However, for information, the last 96 digits of Pi calculated (2021 record) are: 6, 8, 4, 5, 7, 1, 1, 1, 6, 3, 0, 0, 5, 6, 6, 5, 1, 6, 4, 3, 5, 0, 1, 1, 9, 3, 9, 2, 7, 3, 3, 3, 1, 7, 9, 3, 1, 3, 3, 8, 5, 1, 7, 5, 2, 5, 1, 4, 4, 6, 0, 6, 6, 6, 1, 6, 4, 5, 9, 6, 1, 7, 6, 6, 6, 1, 2, 7, 5, 4, 8, 6, 8, 1, 0, 2, 4, 4, 9, 3, 0, 1, 6, 4, 9, 7, 7, 8, 1, 7, 9, 2, 4, 2, 6, 4

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