# Category Archives: Computer Science

## Project Euler Problem 3 – Largest prime factor

Project Euler Problem 3 is the first problem in which I realized that the brute-force computation is not the best way to achieving the results. Here is the problem description: The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number 600851475143 ? Continue reading

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## Project Euler Problem 2 – Fibonacci sequence

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 four million. Continue reading

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## Project Euler Problem 1 – Multiples of 3 and 5

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

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