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Archive for May, 2009

Project Euler 135 Solution

Determining the number of solutions of the equation x2 − y2 − z2 = n.

Common Functions and Routines for Project Euler

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 […]

Project Euler 121 Solution

Investigate the game of chance involving colored discs.

Project Euler 1 Solution

Find the sum of all the natural numbers that are multiples of 3 or 5 using the inclusion-exclusion principal.

Project Euler 2 Solution

Find the sum of all the even-valued terms in the Fibonacci sequence which do not exceed 4 million.

Project Euler 3 Solution

Find the largest prime factor of a composite number.

Project Euler 4 Solution

Find the largest palindrome made from the product of two 3-digit numbers.

Project Euler 5 Solution

Find the smallest number divisible by each of the numbers 1 to 20.

Project Euler 6 Solution

Find the difference between the sum of the squares and the square of the sum.

Project Euler 7 Solution

Find the 10001st prime.