Skip to main content

This library can be used in cryptoanalysis and some compatitive exams. It cover many different types of prime number and three factorization algorithems. Using this library any one generate random spacific prime number. To use this library you mast have python 3.x

Project description

Python Prime Library

This official documentation of python prime library.

  • Generate Specific type of Prime numbers between given range

  • Generate Random Prime number

  • Factorization of given number

Installation!

  1. If you don’t have pip then follow below procedure else go to step 2.

  • For window Users

    • Download get-pip to a folder on your computer.

    • Put that file on Desktop

    • Open cmd and run the following commands: sh $ cd Desktop $ python get-pip.py

  • For Mac Users

    • Install python

      sh $ brew install python

    • Run the following command:

      sh $ python get-pip.py

  • For Linux Users

    • Run the following commands for python(version > 2.0): sh $ sudo apt-get install python-pip $ sudo pacman -S python2-pip $ sudo yum upgrade python-setuptools $ sudo yum install python-pip python-wheel $ sudo dnf upgrade python-setuptools $ sudo dnf install python-pip python-wheel $ sudo zypper install python-pip python-setupt ools python-wheel

    • Run the following commands for python(version > 3.0): sh $ sudo apt-get install python3-pip $ sudo pacman -S python-pip $ sudo yum install python3 python3-wheel $ sudo dnf install python3 python3-wheel $ sudo zypper install python3-pip python3-setu ptools python3-wheel

  • For Raspberry Users

    • Run the following commands for python(version > 2.0): sh $ sudo apt-get install python-pip

    • Run the following commands for python(version > 2.0): sh $ sudo apt-get install python3-pip

  1. Import gmpy2 file

    • This package is require to install primelibpy library

    • Run following command

      sh $ pip install gmpy2==2.1.0a2

  2. Now, install prime python library using below command.

    • Run following command

      sh $ pip install primelibpy

  3. How to use Library

    • Inside of your python IDE sh from primelibpy import Prime as p

    • Now, using p all function can be used in code e.g. sh balancedNumberList = p.getBalancedPrime(2,100,2)

Functions Description

  • Prime Functions

    In all the prime numbers Start_Limit and End_Limit are the range of prime number user wants to print inclusively. #### Balanced Prime Syntex: sh getBalancedPrime(startLimit,endLimit,balancedMode) Return Type: list Description: Balanced_Mode is how number which decide balanced limit for prime.

Circular Prime

Syntex: getCircularPrime(startLimit,endLimit) Return Type: list

Cousin Prime

Syntex: getCousinPrime(startLimit,endLimit) Return Type: list Description: Cousin prime are in pair so return list is have list inside it e.g.[ [1,2], [2,3] ]

Double Mersenne Prime

Syntex: getDoubleMersennePrime(startLimit,endLimit) Return Type:list

Factorial Prime

Syntex: getFactorialPrime(startLimit,endLimit) Return Type:list

Good Prime

Syntex: getGoodPrime(startLimit,endLimit) Return Type: list

Mersenne Prime

Syntex: getMersennePrime(startLimit,endLimit) Return Type:list

Palindromic Prime

Syntex: getPalindromicPrime(startLimit,endLimit) Return Type:list

Permutable Prime

Syntex: getPermutablePrime(startLimit,endLimit) Return Type:list

Primorial Prime

Syntex: getPrimorialPrime(startLimit,endLimit) Return Type:list

Fermat Pseudo Prime

Syntex: getFermatPseudoPrime(baseNumber,noPsedoPrime) Return Type: list Description: Base_number is halp to generate composite number ,and second argument is Total number of Pseudo primes

Pythagorean Prime

Syntex: getPythagoreanPrime(startLimit,endLimit) Return Type:list

Reversible Prime

Syntex: getReversiblePrime(startLimit,endLimit) Return Type:list

Semi Prime

Syntex: getSemiPrime(startLimit,endLimit) Return Type: list

Sophie Germain Prime

Syntex: getSophieGermainPrime(startLimit,endLimit) Return Type:list

Twin Prime

Syntex: getTwinPrime(startLimit,endLimit) Return Type: list Description: Twin prime are in pair so return list is have list inside it e.g.[ [1,2], [2,3] ]

Wagstaff Prime

Syntex: getWagstaffPrime(startLimit,endLimit) Return Type:list

Wieferich Prime

Syntex: getWieferichPrime(startLimit,endLimit) Return Type:list

Wilson Prime

Syntex:getWilsonPrime(startLimit,endLimit) Return Type:list

Left Truncatable Prime

Syntex: getLeftTruncatablePrime(startLimit,endLimit) Return Type:list

Right Truncatable Prime

Syntex: getRightTruncatablePrime(startLimit,endLimit) Return Type: list

Truncatable Prime

Syntex: getTruncatablePrime(startLimit,endLimit) Return Type:list

Gaussian Prime

Syntex: getGaussianPrime(startLimit,endLimit) Return Type:None

  • Factorization

Traditional Way for Factorization

Syntex: getFactorTraditional(compositeNumber) Return Type:list

Fermat Theorem for Factorization

Syntex: getFactorFermatTheorem(compositeNumber) Return Type:tuple Note: This is only for composite number who have only two prime factors except number itself e.g. 33 have two prime factors 3 and 11.

Pollard Rho for Factorization

Syntex: getFactorPollardRho(compositeNumber) Return Type:integer Note: This will return any one factor of given number because this algorithem works on random numbers.

License

MIT

Free Software, Hell Yeah!

Project details


Download files

Download the file for your platform. If you're not sure which to choose, learn more about installing packages.

Source Distribution

primelibpy-1.3.tar.gz (8.0 kB view hashes)

Uploaded Source

Supported by

AWS AWS Cloud computing and Security Sponsor Datadog Datadog Monitoring Fastly Fastly CDN Google Google Download Analytics Microsoft Microsoft PSF Sponsor Pingdom Pingdom Monitoring Sentry Sentry Error logging StatusPage StatusPage Status page