Investigating the density of “bouncy” numbers.
Determining the number of solutions of the equation x2 − y2 − z2 = n.
Find Fibonacci numbers for which the first and last nine digits are pandigital.
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 […]
Investigate the game of chance involving colored discs.
Find the sum of all the natural numbers that are multiples of 3 or 5 using the inclusion-exclusion principal.
Find the sum of all the even-valued terms in the Fibonacci sequence which do not exceed 4 million.
Find the largest prime factor of a composite number.
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.