Archive Page 2

Project Euler - problem 006

August 1st, 2007 by Daniel

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′

Project Euler - problem 005

August 1st, 2007 by Daniel

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′

Project Euler - problem 004

August 1st, 2007 by Daniel

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′

Project Euler - Problem 003

August 1st, 2007 by Daniel

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′

Project Euler - Problem 002

August 1st, 2007 by Daniel

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′

Project Euler - Problem 001

August 1st, 2007 by Daniel

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′

To tankser som har brutt sammen, og det eneste som fungerer er kanonene

August 1st, 2007 by Daniel

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’