The sum of the squares of the first ten natural numbers is,
1² + 2² + … + 10² = 385
The square of the sum of the first ten natural numbers is,
(1 + 2 + … + 10)² = 55² = 3025
Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 - 385 = 2640.
Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
Continue reading ‘Project Euler - problem 006′
2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.
What is the smallest number that is evenly divisible by all of the numbers from 1 to 20?
Continue reading ‘Project Euler - problem 005′
A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 * 99.
Find the largest palindrome made from the product of two 3-digit numbers.
Continue reading ‘Project Euler - problem 004′
The prime factors of 13195 are 5, 7, 13 and 29.
What is the largest prime factor of the number 317584931803?
Continue reading ‘Project Euler - Problem 003′
Each new term in the Fibonacci sequence
is generated by adding the previous two terms.
By starting with 1 and 2, the first 10 terms will be:
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …
Find the sum of all the even-valued
terms in the sequence which do not exceed one million.
Continue reading ‘Project Euler - Problem 002′
If we list all the natural numbers below
10 that are multiples of 3 or 5, we get 3, 5,
6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
Continue reading ‘Project Euler - Problem 001′
Opprinnelig skrevet 03.05.2007:
Ja, da var endelig javaspillet vårt ferdig. Etter mye jobbing er det morsomt å se et resultat i hvert fall jeg er fornøyd med.
Continue reading ‘To tankser som har brutt sammen, og det eneste som fungerer er kanonene’