A library of number theory related functions inspired by Project Euler.
Project Description
eulerlib is a library of recreational mathematics and number theory related functions inspired by Project Euler. Available functions include:
 Prime number generation
 Divisor functions (sigma functions)
 Euler’s totient function
 Greatest Common Divisor (GCD) using Euclid’s algorithm
 Least Common Multiple (LCM)
 Integer square root
 Fibonacci numbers
 Pandigital numbers
 Palindrome numbers
 Pythagorean triples
Functions from this library can be used to solve recreational mathematics and programming problems such as problems in Project Euler.
Installation
eulerlib is avalaible through Python Package Index (PyPI) using pip.
>>> pip install upgrade eulerlib
To uninstall using pip.
>>> pip uninstall eulerlib
Usage
In Python console you can import functions/classes from eulerlib as needed.
>>> from eulerlib import primes >>> p10 = primes(10) >>> print(p10) [2, 3, 5, 7]
The Divisors class implements functions related to prime factorization, sigma functions etc.
>>> from eulerlib import Divisors >>> mydiv = Divisors(10000) >>> div84 = mydiv.divisors(84) #divisors of 84 >>> print(div84) [1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84] >>> pf840 = mydiv.prime_factors(840) # prime factors of 840 >>> print(pf840) [(2, 3), (3, 1), (5, 1), (7, 1)]
Example: Solved Project Euler problem 3.
from eulerlib import is_square, primes #get approximate square root of number since #largest prime factor < sq. root (is_sq, sqroot) = is_square(600851475143L) #get a list of primes less than the approx. square root. test_primes = primes(sqroot + 1L) #test the primes from the list to find the largest factor len_p = len(test_primes) for i in range(1,len_p+1): j = 0  i test_fact = test_primes[j] if 600851475143L%test_fact == 0: break answer = test_fact #Set the answer
See complete documentation.
Modules
prime_numbers.py  Functions to generate lists of primes. 
numtheory.py 

fibonacci.py  Functions related to the Fibonacci sequence. 
pythagoras.py  Functions related to Pythagorean triples. 
etc.py  Miscellaneous functions:

Development
Source code repositories (GitHub, BitBucket) are available. Bug reports and suggestions are most welcome.
License
eulerlib is licensed under Apache License 2.0.
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