Monthly Archives: May 2013

Largest prime factor: Project Euler Problem 3

Problem link: http://projecteuler.net/problem=3

Problem Statement:
The prime factors of 13195 are 5, 7, 13 and 29.

What is the largest prime factor of the number 600851475143 ?
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Even Fibonacci numbers: Project Euler Problem 2

Problem link: http://projecteuler.net/problem=2

Problem Statement:
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, …

By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.
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Multiples of 3 and 5: Project Euler Problem 1

Problem link: http://projecteuler.net/problem=1

Problem Statement:
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.
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