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primesieve-python

Summary

Python bindings for the primesieve C++ library.

Generates primes orders of magnitude faster than any pure Python code!

Features:

Get an array of primes
Iterate over primes using little memory
Find the nth prime
Count/print primes and prime k-tuplets
Multi-threaded for counting primes and finding the nth prime
NumPy support

Prerequisites

We provide primesieve wheels (distribution packages) for Windows, macOS and Linux for x86 and x64 CPUs. For other operating systems and/or CPUs you need to have installed a C++ compiler.

# Ubuntu/Debian
sudo apt install g++ python-dev

# Fedora
sudo dnf install gcc-c++ python-devel

# macOS
xcode-select --install

Installation

# Python 3.5 or later
pip install primesieve

# For Python 2.7 use:
pip install "primesieve<=1.4.4"

Conda Installation

You don't need to install a C++ compiler when installing python-primesieve using Conda.

conda install -c conda-forge python-primesieve

Usage examples

>>> from primesieve import *

# Get an array of the primes <= 40
>>>  primes(40)
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]

# Get an array of the primes between 100 and 120
>>>  primes(100, 120)
[101, 103, 107, 109, 113]

# Get an array of the first 10 primes
>>>  n_primes(10)
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29]

# Get an array of the first 10 primes >= 1000
>>>  n_primes(10, 1000)
[1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061]

# Get the 10th prime
>>> nth_prime(10)
29

# Count the primes below 10**9
>>> count_primes(10**9)
50847534

Here is a list of all available functions.

Iterating over primes

Instead of generating a large array of primes and then do something with the primes it is also possible to simply iterate over the primes which uses less memory.

>>> import primesieve

it = primesieve.Iterator()
prime = it.next_prime()

# Iterate over the primes below 10000
while prime < 10000:
    print prime
    prime = it.next_prime()

# Set iterator start number to 100
it.skipto(100)
prime = it.prev_prime()

# Iterate backwards over the primes below 100
while prime > 0:
    print prime
    prime = it.prev_prime()

NumPy support

Using the primesieve.numpy module you can generate an array of primes using native C++ performance!

In comparison the primesieve module generates an array of primes about 3 times slower mostly because the conversion of the C primes array into a python array is quite slow.

>>> from primesieve.numpy import *

# Generate a numpy array with the primes below 100
>>>  primes(100)
array([ 2,  3,  5,  7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59,
       61, 67, 71, 73, 79, 83, 89, 97])

# Generate a numpy array with the first 100 primes
>>>  n_primes(100)
array([  2,   3,   5,   7,  11,  13,  17,  19,  23,  29,  31,  37,  41,
        43,  47,  53,  59,  61,  67,  71,  73,  79,  83,  89,  97, 101,
       103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167,
       173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239,
       241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313,
       317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397,
       401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467,
       479, 487, 491, 499, 503, 509, 521, 523, 541])

Development

You need to have installed a C++ compiler, see Prerequisites.

# Install prerequisites
pip install cython pytest numpy

# Clone repository
git clone --recursive https://github.com/kimwalisch/primesieve-python

cd primesieve-python

# Build and install primesieve-python
pip install . --upgrade

# Run tests
pytest

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2.3.4

Sep 30, 2024

2.3.3

Jun 12, 2024

2.3.2

Jan 1, 2023

2.3.1

Dec 31, 2022

2.3.0

Nov 25, 2020

This version

2.2.0

Jan 5, 2020

2.1.0

Dec 21, 2019

2.0.0

Nov 23, 2019

1.4.4

Aug 20, 2018

1.4.3

Jun 23, 2018

1.4.1

Jun 23, 2018

1.4.0

Jun 23, 2018

1.3.0

Mar 22, 2017

1.2.0

Jan 7, 2017

1.1.0

Oct 18, 2016

1.0.0

Dec 9, 2015

0.1.2

Sep 27, 2015

0.1.0

Jul 11, 2015

0.0.2

Jul 7, 2015

0.0.1

Jul 6, 2015

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primesieve 2.2.0

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primesieve-python

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