Number of repeating digits in base b expansion of fractions

online resource

posted on 2025-04-11, 04:18 authored by Noel Patson

In base 10 the fraction 1/3 has 1 repeating digit, 3, while 1/7 has 6 repeating digits: {}. This plot shows the number of repeating digits in the base representation of a fraction with a specified numerator and with denominators from 1 up to a specified size for bases to a specified size.

Funding

Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

History

Publisher

Wolfram Mathematica

Full Text URL

https://demonstrations.wolfram.com/NumberOfRepeatingDigitsInBaseBExpansionOfFractions/

Open Access

Yes

Era Eligible

Yes

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Categories

Keywords

Number bases Number theory Patterns Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter Algebra and Number Theory

Licence

CC BY-NC-SA 3.0

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