1
vote
4answers
1k views

Sieve of Eratosthenes: making it quicker

I was thinking about doing problem 23 of Project Euler. It includes the difficulty where you have to factorize primes. I had already done that in problems I solved earlier, but it was only necessary ...
27
votes
7answers
4k views

Project Euler problem 1 in python

I'd like suggestions for optimizing this brute force solution to problem 1. The algorithm currently checks every integer between 3 and 1000. I'd like to cut as many unnecessary calls to ...
5
votes
4answers
624 views

Any better way to solve Project Euler Problem #5?

Here's my attempt at Project Euler Problem #5, which is looking quite clumsy when seen the first time. Is there any better way to solve this? Or any built-in library that already does some part of the ...
4
votes
1answer
712 views

Project Euler Problem 12 - Highly Divisible Triangular Number - Python Solution Optimization

Project Euler Problem 12 asks (paraphrased): Considering triangular numbers Tn = 1 + 2 + 3 + … + n, what is the first Tn with over 500 divisors? (For example, T7 = 28 has six divisors: 1, 2, 4, ...
4
votes
2answers
412 views

Project Euler problem 92 - square digit chains

Link to problem. A number chain is created by continuously adding the square of the digits in a number to form a new number until it has been seen before. For example, 44 -> 32 -> 13 ...
17
votes
5answers
852 views

Count distinct primes, discarding palindromes, in under 2 seconds

Problem Statement Generate as many distinct primes P such that reverse (P) is also prime and is not equal to P. Output: Print per line one integer( ≤ 1015 ). Don't print more than ...
6
votes
4answers
727 views

Finding the Pythagorean triplet that sums to 1000

Project Euler problem 9 says: A Pythagorean triplet is a set of three natural numbers, a < b < c, for which, a2 + b2 = c2 For example, 32 + 42 = 9 + 16 = 25 = 52. There ...
4
votes
2answers
284 views

Improving runtime of prime generation

I just answered the question on project euler about finding circular primes below 1 million using python. My solution is below. I was able to reduce the running time of the solution from 9 seconds to ...