Finding Nim positions consisting of heap sizes n, 2n and 3n for n ≤ 230 that result in a losing game.
The prime factorisation of binomial coefficients
Determining the first forty prime factors of a very large repunit.
Investigating which primes will never divide a repunit containing 10**n digits.
Count how many numbers below a googol (10**100) are not “bouncy”
Common functions and helpful tools used to solve problems in Project Euler: Downloadable source: Euler.py source A set of routines used to help solve math problems. Euler.py is included as needed. The example below shows typical Python usage: from Euler import is_prime, is_perm Here is the contents of Euler.py from math import sqrt, ceil import […]
Find the largest palindrome made from the product of two 3-digit numbers.
Find the smallest number divisible by each of the numbers 1 to 20.
Find the 10001st prime.
Calculate the sum of all the primes below two million.