Lychrel
Lychrel numbers and other number-theory curiosities for Python, written in Rust with PyO3. Every function accepts Python integers of any size.
pip install lychrel
import lychrel
lychrel.find_lychrel_palindrome(89) # (8813200023188, 24)
lychrel.is_lychrel_candidate(196) # True
lychrel.fibonacci(10) # 55
lychrel.lucas(10) # 123
lychrel.horadam(10, p=2, q=-1) # 2378 (Pell numbers)
lychrel.look_and_say(1211) # 111221
lychrel.kaprekar(3524) # 6174
lychrel.collatz(5) # [5, 16, 8, 4, 2, 1]
| Function | What it computes |
|---|---|
find_lychrel_palindrome |
First palindrome of the reverse-and-add process |
is_lychrel_candidate |
Whether reverse-and-add fails to reach a palindrome |
fibonacci |
Fibonacci numbers |
lucas |
Lucas numbers |
horadam |
Any recurrence W(n) = p·W(n-1) - q·W(n-2), such as Pell or Jacobsthal |
look_and_say |
Next term of the look-and-say sequence |
kaprekar |
Fixed point of Kaprekar's routine |
collatz |
Collatz (3n + 1) sequence |
Defaults, limits, and errors are covered in the documentation.
Upgrading to 0.9
fibonacci now takes only number and returns the Fibonacci numbers. For
other values of p and q, use horadam:
lychrel.fibonacci(n, p, q) # before 0.9
lychrel.horadam(n, p=p, q=q) # 0.9 and later
See the changelog for everything else.
Development
You need uv and a Rust toolchain.
uv venv -p 3.14
uv sync --frozen
uv run maturin develop --uv
uv run --no-sync pytest
See the development guide for benchmarks, linting, and releases.
License
1 maintainer
Metadata
1 maintainer
Release files for lychrel 0.9.0
For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.
Source distribution (sdist)
| File | Size | Uploaded | |
|---|---|---|---|
| lychrel-0.9.0.tar.gz | 120.0 kB | Details |
Built distributions (wheels)
Total release size: 8.5 MB
Release files / lychrel-0.9.0.tar.gz
| Download URL | lychrel-0.9.0.tar.gz |
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| Size | 120.0 kB |
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Release files / lychrel-0.9.0-cp314-cp314t-win_arm64.whl
| Download URL | lychrel-0.9.0-cp314-cp314t-win_arm64.whl |
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| Size | 154.9 kB |
| Tags | CPython 3.14 CPython 3.14 free-threading Windows ARM64 |
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Release files / lychrel-0.9.0-cp314-cp314t-win_amd64.whl
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Release files / lychrel-0.9.0-cp314-cp314t-musllinux_1_2_x86_64.whl
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Release files / lychrel-0.9.0-cp38-abi3-musllinux_1_2_armv7l.whl
| Download URL | lychrel-0.9.0-cp38-abi3-musllinux_1_2_armv7l.whl |
|---|---|
| Size | 518.8 kB |
| Tags | CPython 3.8 Linux musl 1.2+ ARMv7l abi3 |
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uv/0.12.17 {"installer":{"name":"uv","version":"0.12.17","subcommand":["publish"]},"python":null,"implementation":{"name":null,"version":null},"distro":{"name":"Ubuntu","version":"24.04","id":"noble","libc":null},"system":{"name":null,"release":null},"cpu":null,"openssl_version":null,"setuptools_version":null,"rustc_version":null,"ci":true}
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Release files / lychrel-0.9.0-cp38-abi3-musllinux_1_2_aarch64.whl
| Download URL | lychrel-0.9.0-cp38-abi3-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 414.9 kB |
| Tags | CPython 3.8 Linux musl 1.2+ ARM64 abi3 |
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SHA-256 checksum How to use checksums |
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Yes |
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uv/0.12.17 {"installer":{"name":"uv","version":"0.12.17","subcommand":["publish"]},"python":null,"implementation":{"name":null,"version":null},"distro":{"name":"Ubuntu","version":"24.04","id":"noble","libc":null},"system":{"name":null,"release":null},"cpu":null,"openssl_version":null,"setuptools_version":null,"rustc_version":null,"ci":true}
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Release files / lychrel-0.9.0-cp38-abi3-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
| Download URL | lychrel-0.9.0-cp38-abi3-manylinux_2_17_x86_64.manylinux2014_x86_64.whl |
|---|---|
| Size | 243.6 kB |
| Tags | CPython 3.8 Linux glibc 2.17+ x86-64 abi3 |
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SHA-256 checksum How to use checksums |
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uv/0.12.17 {"installer":{"name":"uv","version":"0.12.17","subcommand":["publish"]},"python":null,"implementation":{"name":null,"version":null},"distro":{"name":"Ubuntu","version":"24.04","id":"noble","libc":null},"system":{"name":null,"release":null},"cpu":null,"openssl_version":null,"setuptools_version":null,"rustc_version":null,"ci":true}
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Release files / lychrel-0.9.0-cp38-abi3-manylinux_2_17_s390x.manylinux2014_s390x.whl
| Download URL | lychrel-0.9.0-cp38-abi3-manylinux_2_17_s390x.manylinux2014_s390x.whl |
|---|---|
| Size | 287.4 kB |
| Tags | CPython 3.8 Linux glibc 2.17+ IBM System/390x abi3 |
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SHA-256 checksum How to use checksums |
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Release files / lychrel-0.9.0-cp38-abi3-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl
| Download URL | lychrel-0.9.0-cp38-abi3-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl |
|---|---|
| Size | 278.2 kB |
| Tags | CPython 3.8 Linux glibc 2.17+ PowerPC 64-le abi3 |
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SHA-256 checksum How to use checksums |
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uv/0.12.17 {"installer":{"name":"uv","version":"0.12.17","subcommand":["publish"]},"python":null,"implementation":{"name":null,"version":null},"distro":{"name":"Ubuntu","version":"24.04","id":"noble","libc":null},"system":{"name":null,"release":null},"cpu":null,"openssl_version":null,"setuptools_version":null,"rustc_version":null,"ci":true}
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Release files / lychrel-0.9.0-cp38-abi3-manylinux_2_17_armv7l.manylinux2014_armv7l.whl
| Download URL | lychrel-0.9.0-cp38-abi3-manylinux_2_17_armv7l.manylinux2014_armv7l.whl |
|---|---|
| Size | 240.2 kB |
| Tags | CPython 3.8 Linux glibc 2.17+ ARMv7l abi3 |
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SHA-256 checksum How to use checksums |
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Release files / lychrel-0.9.0-cp38-abi3-manylinux_2_17_aarch64.manylinux2014_aarch64.whl
| Download URL | lychrel-0.9.0-cp38-abi3-manylinux_2_17_aarch64.manylinux2014_aarch64.whl |
|---|---|
| Size | 236.2 kB |
| Tags | CPython 3.8 Linux glibc 2.17+ ARM64 abi3 |
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SHA-256 checksum How to use checksums |
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uv/0.12.17 {"installer":{"name":"uv","version":"0.12.17","subcommand":["publish"]},"python":null,"implementation":{"name":null,"version":null},"distro":{"name":"Ubuntu","version":"24.04","id":"noble","libc":null},"system":{"name":null,"release":null},"cpu":null,"openssl_version":null,"setuptools_version":null,"rustc_version":null,"ci":true}
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Release files / lychrel-0.9.0-cp38-abi3-manylinux_2_5_i686.manylinux1_i686.whl
| Download URL | lychrel-0.9.0-cp38-abi3-manylinux_2_5_i686.manylinux1_i686.whl |
|---|---|
| Size | 260.6 kB |
| Tags | CPython 3.8 Linux glibc 2.5+ x86-32 abi3 |
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SHA-256 checksum How to use checksums |
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Release files / lychrel-0.9.0-cp38-abi3-macosx_11_0_arm64.whl
| Download URL | lychrel-0.9.0-cp38-abi3-macosx_11_0_arm64.whl |
|---|---|
| Size | 228.5 kB |
| Tags | CPython 3.8 abi3 macOS 11.0+ ARM64 |
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Release files / lychrel-0.9.0-cp38-abi3-macosx_10_12_x86_64.whl
| Download URL | lychrel-0.9.0-cp38-abi3-macosx_10_12_x86_64.whl |
|---|---|
| Size | 235.6 kB |
| Tags | CPython 3.8 abi3 macOS 10.12+ x86-64 |
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SHA-256 checksum How to use checksums |
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| Uploaded via |
uv/0.12.17 {"installer":{"name":"uv","version":"0.12.17","subcommand":["publish"]},"python":null,"implementation":{"name":null,"version":null},"distro":{"name":"Ubuntu","version":"24.04","id":"noble","libc":null},"system":{"name":null,"release":null},"cpu":null,"openssl_version":null,"setuptools_version":null,"rustc_version":null,"ci":true}
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