{ "info": { "author": "", "author_email": "", "bugtrack_url": null, "classifiers": [ "Programming Language :: Python :: 2", "Programming Language :: Python :: 2.7", "Programming Language :: Python :: 3", "Programming Language :: Python :: 3.4", "Programming Language :: Python :: 3.5", "Programming Language :: Python :: 3.6", "Programming Language :: Python :: 3.7" ], "description": "# primesieve-python\r\n\r\n[![Build Status](https://travis-ci.org/hickford/primesieve-python.svg?branch=master)](https://travis-ci.org/hickford/primesieve-python) [![Build status](https://ci.appveyor.com/api/projects/status/4chekgdj7bqx4ivt/branch/master?svg=true)](https://ci.appveyor.com/project/hickford/primesieve-python/branch/master) [![PyPI](https://img.shields.io/pypi/v/primesieve.svg)](https://pypi.python.org/pypi/primesieve) [![GitHub license](https://img.shields.io/badge/license-MIT-blue.svg)](https://github.com/hickford/primesieve-python/blob/master/LICENSE)\r\n\r\nPython bindings for the [primesieve](https://primesieve.org) C++\r\nlibrary.\r\n\r\nGenerates primes orders of magnitude faster than any pure Python code!\r\n\r\n**Features:**\r\n\r\n* Get a list of primes\r\n* Iterate over primes using little memory\r\n* Find the nth prime\r\n* Count/print primes and [prime k-tuplets](https://en.wikipedia.org/wiki/Prime_k-tuple)\r\n* Multi-threaded for counting primes and finding the nth prime\r\n* NumPy support\r\n\r\n# Prerequisites\r\n\r\nYou need to have installed a C++ compiler on all OSes except Windows.\r\n\r\n```bash\r\n# Ubuntu/Debian\r\nsudo apt install g++ python-dev\r\n\r\n# Fedora\r\nsudo dnf install gcc-c++ python-devel\r\n\r\n# macOS\r\nxcode-select --install\r\n```\r\n\r\n# Installation\r\n\r\n```\r\npip install primesieve\r\n````\r\n\r\n# Usage examples\r\n\r\n```Python\r\n>>> from primesieve import *\r\n\r\n# Get a list of the primes <= 40\r\n>>> primes(40)\r\n[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]\r\n\r\n# Get a list of the primes between 100 and 120\r\n>>> primes(100, 120)\r\n[101, 103, 107, 109, 113]\r\n\r\n# Get a list of the first 10 primes\r\n>>> n_primes(10)\r\n[2, 3, 5, 7, 11, 13, 17, 19, 23, 29]\r\n\r\n# Get a list of the first 10 primes >= 1000\r\n>>> n_primes(10, 1000)\r\n[1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061]\r\n\r\n# Get the 10th prime\r\n>>> nth_prime(10)\r\n29\r\n\r\n# Count the primes below 10**9\r\n>>> count_primes(10**9)\r\n50847534\r\n```\r\n\r\nHere is a [list of all available functions](primesieve/_primesieve.pyx).\r\n\r\n# Iterating over primes\r\n\r\nInstead of generating a large list of primes and then do something\r\nwith the primes it is also possible to simply iterate over the primes\r\nwhich uses less memory.\r\n\r\n```Python\r\n>>> import primesieve\r\n\r\nit = primesieve.Iterator()\r\nprime = it.next_prime()\r\n\r\n# Iterate over the primes below 10000\r\nwhile prime < 10000:\r\n print prime\r\n prime = it.next_prime()\r\n\r\n# Set iterator start number to 100\r\nit.skipto(100)\r\nprime = it.prev_prime()\r\n\r\n# Iterate backwards over the primes below 100\r\nwhile prime > 0:\r\n print prime\r\n prime = it.prev_prime()\r\n```\r\n\r\n# NumPy support\r\n\r\nUsing the ```primesieve.numpy``` module you can generate an array of\r\nprimes using **native C++ performance!**\r\n\r\nIn comparison the ```primesieve``` module generates a list of primes\r\nabout 7 times slower mostly because the conversion of the C++ primes\r\narray into a python list is very slow.\r\n\r\n```Python\r\n>>> from primesieve.numpy import *\r\n\r\n# Generate a numpy array with the primes below 100\r\n>>> primes(100)\r\narray([ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59,\r\n 61, 67, 71, 73, 79, 83, 89, 97])\r\n\r\n# Generate a numpy array with the first 100 primes\r\n>>> n_primes(100)\r\narray([ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,\r\n 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101,\r\n 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 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