All Questions
25 questions
4
votes
1
answer
564
views
Prime factorization algorithm by using the multiprocessing module of Python
I may introduce a Python code of prime factorization which is from my personal project that I'm working on.
...
9
votes
6
answers
4k
views
Goldbach’s Conjecture in Python
Input Format
Input starts with an integer n (1 ≤ n ≤ 100) indicating the number of cases. The following n lines each contain a test case of a single even number x (4 ≤ x ≤ 32000).
Output Format
For ...
12
votes
3
answers
5k
views
Python π = 1 + (1/2) + (1/3) + (1/4) - (1/5) + (1/6) + (1/7) + (1/8) + (1/9) - (1/10) ...1748 Euler
I wrote this code to show that my reddit post is correct.
After the first two terms, the signs are determined as follows: If the denominator is a prime of the form 4m − 1, the sign is positive; if ...
4
votes
4
answers
221
views
My prime number generation program in Python
So I did my own take (I wrote my own algorithm) for generating prime numbers from 1 to 1000.
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6
votes
1
answer
921
views
Decompose any number to its prime factors raised to their respective powers
A simple code which takes the given number as input and gives all of its prime factors raised to their respective powers. It works well up to 10⁶; after that it slows down greatly for some numbers. ...
2
votes
2
answers
348
views
Finding the nth ugly number
I'm trying to optimize my solution to this LeetCode problem:
Write a program to find the nth super ugly number.
Super ugly numbers are positive numbers whose all prime factors are in
the ...
14
votes
4
answers
2k
views
Codechef: Prime Number Generator
Peter wants to generate some prime numbers for his cryptosystem. Help
him! Your task is to generate all prime numbers between two given
numbers!
Input
The input begins with the number t of test cases ...
8
votes
1
answer
3k
views
Project Euler 407: Is there any more optimal way to solve this idempotent equation (modulo n ring)?
Project Euler problem 407:
If we calculate a2 mod 6 for 0 ≤ a ≤ 5 we get: 0, 1, 4, 3, 4, 1.
The largest value of a such that a2 mod 6 = a is 4.
Let's call M(n) the largest value of a < n ...
6
votes
2
answers
104
views
Finding consecutive primes matching p, p + 4, p + 6, p + 10, p + 12, p + 16
Someone asked about this question on the main StackOverflow. The full question is:
Given a value N, find p such that all of ...
1
vote
1
answer
54
views
Python Prime Search Slower Optimization
I have these 2 version of code. Both are looking for all primes under a certain ceiling value.
The first is testing against the set of all odd numbers.
The second in testing against the set of all 6k-...
14
votes
3
answers
8k
views
Tonelli-Shanks algorithm implementation of prime modular square root
I did an implementation of the Tonelli-Shanks algorithm as defined on Wikipedia. I put it here for review and sharing purpose.
Legendre Symbol implementation:
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5
votes
2
answers
1k
views
Prime Number Generator (6n + 1 or 6n - 1)
This generator is like most where it brute forces an integer: it see whether the integer is divisible by any of the primes; if so, then it's not a prime and vice versa. This though only compares ...
5
votes
1
answer
1k
views
Sieve of Atkin in Python
I recently implemented the Sieve of Atkin prime generating algorithm in Python. Though I know the term "pythonic" isn't exactly set in stone, I can tell that my program doesn't quite take advantage of ...
7
votes
4
answers
1k
views
Python Prime Testing
This code seems surprisingly fast at checking if a number is prime.
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3
votes
4
answers
3k
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 ...