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Search in Decimals

Tool to search digits or digits patterns (id number, birth date, etc.) in the decimals of some numbers (Pi, e, square root of 2 etc.)

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Search in Decimals -

Tag(s) : Mathematics, Fun/Miscellaneous

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# Search in Decimals

## Search in Digits of Number N

 Number N to use π pi: 3.1415926… e: 2.7182818… ϕ phi (golden ratio): 1.6180339… γ euler gamma: 0.57721566… C10 Champernowne: 0.1234567891011… √2 square root of 2: 1.4142135623… √3 square root of 3: 1.7320508075… √5 square root of 5: 2.236067977… √7 square root of 7: 2.645751311…

### What are decimal places of a number? (Definition)

A rational or irrational number, can have a decimal representation with an infinite number of digits after the decimal point.

Usual numbers generally have periodic decimal expansion (a series of digits that repeats), but there are an infinity of numbers with an infinity of digits after the decimal point.

### How to find a pattern in decimal places of a number?

Generally, if the number is a relatively random universe number (like π or e or phi, even if it is a conjecture) then it is not possible to predict the position of a number or pattern of digits, the only mean is to browse them in the order.

Example: Search birth date '18/08/1998 'in pi, found in position 794769.

For dCode, the first decimal 1 in pi = 3.14159 is in position 1. Other programs use position 0, or position 2 (the digit 3 before the decimal point/dot is then considered as position 1).

dCode knows the decimals up to 1000000 (one million) digits.

### What is a disjuctive number?

A disjuctive number (rich number or universe number) is defined as a real number whose representation contains any combination of numbers.

Mathematicians believe that irrational constants such as $\pi$ or $\sqrt{2}$ are universe numbers but this has not yet been proven.

## Source code

dCode retains ownership of the online "Search in Decimals" source code. Except explicit open source licence (indicated CC / Creative Commons / free), the "Search in Decimals" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Search in Decimals" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, copy-paste, or API access for "Search in Decimals" are not public, same for offline use on PC, tablet, iPhone or Android ! Remainder : dCode is free to use.

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