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maths: add Keith number algorithm - #15536

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cclauss merged 1 commit into
TheAlgorithms:masterfrom
shad0w0P:add-keith-number
Oct 12, 2026
Merged

cclauss merged 1 commit into
TheAlgorithms:masterfrom
shad0w0P:add-keith-number

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@shad0w0P

@shad0w0P shad0w0P commented Oct 6, 2026

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  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
  • Documentation change?
    Add Keith number (also known as a repfigit number) detection and search under maths/.
  • Implement is_keith_number(number: int) -> bool using an $O(1)$ rolling sum sliding window approach.
  • Implement find_keith_numbers(limit: int) -> list[int] to find all Keith numbers up to a specified limit.
  • Include Wikipedia and OEIS reference links.
  • Include 28 comprehensive doctests covering known numbers, non-Keith numbers, edge cases, and type errors.

Checklist

  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
  • If this pull request resolves one or more open issues, then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".

- Implement is_keith_number(number: int) -> bool with rolling sum optimization
- Implement find_keith_numbers(limit: int) -> list[int]
- Add Wikipedia and OEIS reference links
- Comprehensive doctests covering normal, edge, and error cases
@algorithms-keeper algorithms-keeper Bot added the awaiting reviews This PR is ready to be reviewed label Oct 6, 2026
@algorithms-keeper algorithms-keeper Bot removed the awaiting reviews This PR is ready to be reviewed label Oct 12, 2026
@cclauss
cclauss merged commit 6b70b83 into TheAlgorithms:master Oct 12, 2026
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2 participants