Project Euler: About the Solution Series
Solving Project Euler Problems using Javascript!

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Solving Project Euler Problems using Javascript!

In this series, I will be discussing Project Euler Solutions. 'Project Euler' helps in improving problem-solving and programming skills. Remember, there is always a better solution to the problem. 💯
Problem 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. Problem Description This is a more straightforward prob...
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Problem If the numbers 1 to 5 are written out in words: one, two, three, four, five, then there are 3 + 3 + 5 + 4 + 4 = 19 letters used in total. If all the numbers from 1 to 1000 (one thousand) inclusive were written out in words, how many letters w...

Problem 215 = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26. What is the sum of the digits of the number 21000? Problem Description The problem is pretty self-explanatory. 215 is 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26....

Problem Starting in the top left corner of a 2*2 grid, and only being able to move to the right and down, there are exactly 6 routes to the bottom right corner. How many such routes are there through a 20*20 grid? Problem Description We are given a...

Problem The following iterative sequence is defined for the set of positive integers: n → n/2 (n is even) n → 3n + 1 (n is odd) Using the rule above and starting with 13, we generate the following sequence: 13 → 40 → 20 → 10 → 5 → 16 → 8 → 4 → 2 → ...

In this series, I will be discussing the solution to the 'Project Euler' Problems.
The 'Project Euler' is a series of challenges that will need more than mathematical insights to solve. It helps in improving problem-solving and programming skills.
We can use any programming language to solve problems. In a way, it improves our data structure skills.
Usually, I try to solve the original project euler version of the problem. Then move on to the modified version of it in Hackerrank.
Hackerrank offers a heavily modified version of the problem with more test cases. It also has time and space constraints. So your code should be efficient to pass all the test cases. Most of the time, the brute force approach will time out in hackerrank.
Remember, there is no best solution for any problem.
Some problems involve many ways of solving them. I will be using Javascript to solve the problems.
If you guys find a better solution, please add it to the comment.
I have added all the solutions to GitHub. You can find the repository project-euler-solutions-javascript.
Note:
Please note that the solution provided is only for learning purposes. Once you understand the problem, please try it on your own before referring to the solutions.
I am a software engineer and have limited knowledge of mathematics. So while solving some problems, I would refer and link to math-related forums to understand the formula used.
| Problem | Title | PE Solved | HR Solved |
| 1 | Multiples of 3 or 5 | ✅ | ✅ |
| 2 | Even Fibonacci numbers | ✅ | ✅ |
| 3 | Largest prime factor | ✅ | ✅ |
| 4 | Largest palindrome product | ✅ | ✅ |
| 5 | Smallest multiple | ✅ | ✅ |
| 6 | Sum square difference | ✅ | ✅ |
| 7 | 10001st prime | ✅ | ✅ |
| 8 | Largest product in a series | ✅ | ✅ |
| 9 | Special Pythagorean triplet | ✅ | ✅ |
| 10 | Summation of primes | ✅ | ✅ |
| 11 | Largest product in a grid | ✅ | ✅ |
| 12 | Highly divisible triangular number | ✅ | ✅ |
| 13 | Large sum | ✅ | ✅ |
| 14 | Longest Collatz sequence | ✅ | ✅ |