Questions tagged [primes]

Primes or prime numbers are numbers which are divisible only by themselves and one, starting with 2, 3, 5, 7, 11.... They are commonly used in encryption and hashing algorithms.

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Optimizing SymPy Implementation of prime factorization in form of QUBO

I'm trying to reproduce a paper on Prime Factorization. This paper converts the problem into a QUBO form, which then we can map it to an Ising Minimizer. I've basically done everything and I've ...
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Count how many numbers in a range have exactly three divisors

The challenge Given array a of n numbers, I need to count how many positive numbers less than each aᵢ have exactly 3 divisors. Constraints 1 <= aᵢ <= 2.5 * 10¹³ In other words, the minimum ...
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Optimal Solution for the Four Divisors Problem on LeetCode

I recently encountered the Four Divisors problem on LeetCode and managed to achieve a 100% beat rate with my solution. I'd like to share it with you all and gather feedback on its effectiveness and ...
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Miller-Rabin implementation is very slow

I implemented the Miller-Rabin-Primetest in python3. But I have the feeling it is very slow. I know that there are faster version in gmpy2 package, but I want to compare it with another code I have in ...
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1 vote
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Miller-Rabin prime test

I have an implementation of the Miller-Rabin prime test, coded in Python 3. I want to use that as a comparison to a prime test which I coded myself. Unfortunately I have no idea how "fast" ...
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Construct a performant sieve of Atkin in Rust

I have implemented the sieve of Atkin in Rust. It can find all primes till 1,000,000,000 in 4.5 s using 34.4 MiB on my 1.4 GHz machine. This is a direct implementation (with some optimisations made ...
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C code for finding prime numbers

I have created a program to find prime numbers up to the 32nd power of 2. It uses the sieve of Eratosthenes. I would appreciate it if you could let me know any bugs or improvements I can make. ...
1 vote
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Project Euler 10(Python) | Summation of Primes

This is my Python3 code which solved the 10th problem of Project Euler. I haven't passed the last 2 time limit test cases. ...
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Project Euler 60: Prime Pair Sets

Project Euler Prime Pair Sets: The primes 3, 7, 109, and 673 are quite remarkable. By taking any two primes and concatenating them in any order the result will always be prime. For example, taking 7 ...
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Find perfect and amicable numbers

I've been playing with perfect, amicable and social numbers lately, and created a class for investigating these. At present, it has functions to return the perfect and amicable numbers in a specified ...
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Miller-Rabin Primality Test in Python

I have the following implementation of the Miller-Rabin test in Python: ...
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I have this code, which is a pseudo-Sieve of Eratosthenes for generating primes: ...
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Hunting for the 100,001st prime in Rust

Most of my programming experience is in Python, but my first language was C, and I was intrigued by the combination which Rust offers: a streamlined syntax and no manual memory management, but with ...
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generate prime factors via wheel factorization

I want to factor random values of n that range from uint.MinValue to uint.MaxValue as ...
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Prime sieve in Rust

Using Sieve of Eratosthenes, I created a function that returns a vector of primes up to given limit. ...
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Make an image where pixels are colored if they are prime

This code creates a black-and-white image of variable size where the n-th pixel is white if n is a prime number and black if it isn't. It works, but I wonder if it is well written or if it could be ...
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Find factor pairs of an integer in Rust

I'm trying to efficiently generate all pairs of factors of a number n. For example, when n=27, the factor pairs are (1, 27), (3, 9), (9, 3), (27, 1) The order in which the pairs are found is not ...
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Strong Goldbach Conjecture with set implementation

I have devised my own version for a Goldbach verification project which uses sets to compare already sieved primes. My implementation also uses generators to "sieve a segment" since storing ...
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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. ...
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1 vote
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Numpy segmented Sieve Of Eratosthenes

For the segmented Sieve Of Eratosthenes, I have devised the following code provided. And I understand that it is not the best implementation; However, it should be much quicker than what it is now. ...
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Find primes using Wilson's Theorem

The following code is an instantiation of wilson's theorem. It uses a simple factorial and division theorem to check for primality. My issue is with the performance of the code, and there are two most ...
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Möbius function using iterators for prime factors

While working on Project Euler, I have come across a few questions involving usage of the little omega function, big omega function, and Möbius function. My prior code wrote factors into an array and ...
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I am fairly new to Rust and thought a good way to practice would be to write a multithreaded segmented Sieve of Eratosthenes. It performs ok (searches ten-billion numbers in about 11 seconds on my ...
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1 vote
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Euler's totient function for large numbers

I made this algorithm to compute Euler's totient function for large numbers. A sieve is used. ...
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Benchmarking an improved wheel sieve

I followed your answers for my last questions (1st 2nd) and I came up with these new versions of my codes but I face some difficulties to measure the efficiency of my code, I use chrono library to ...
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Prime sieve for large numbers

I state that I am not an expert and that certainly the code can be improved. I made this prime number sieve to be able to handle large numbers. The basic idea is to write a number p=r+bW*k where r is ...
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Find factors of a Mersenne number

On RosettaCode I found this C++ version of modPow (compute 2ᵖ mod n) to find the factors of a Mersenne number. ...
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Next level Improved Sieve of Eratosthenes

This is the next development for the Sieve of Eratosthenes algorithm, where all the multiples of 2,3 and 5 are eliminated, which will not take any memory or time. As my last question Improved Sieve of ...
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Improved Sieve of Eratosthenes

How can I get to a perfect coding for this algorithm? I made the mathematical theorem, which is a development of the Sieve of Eratosthenes algorithm. I might use some help in coding. You can find the ...
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Project Euler #51: "Prime digit replacements" in Rust

Problem: https://projecteuler.net/problem=51 "Find the smallest prime which, by replacing part of the number (not necessarily adjacent digits) with the same digit, is part of an eight prime ...
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Fast way to compute a^d mod n

For a Miller-Rabin primality test I need a fast way to compute a^d mod n. Where a is one of 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...
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Calculate the first largest factor of 600851475143

ٍProblem description: The prime factors of 13195 are 5, 7, 13 and 29. Largest prime factor 13195 is 29. What is the largest prime factor of the number 600851475143 ? Prime Factor: any of the prime ...
1 vote
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I'm trying to solve the following exercise from codility: A prime is a positive integer X that has exactly two distinct divisors: 1 and X. The first few prime integers are 2, 3, 5, 7, 11 and 13. A ...
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Clojure Prime Numbers from 1 to 1000

I am a beginner to Clojure and I made a little script that prints out every prime number from 1 to 1000. Let me know if there are any improvements that I can make: ...
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A simple JavaScript function that does prime factorization

This is a simple JavaScript function that does prime factorization. I wrote it on an Android phone with online editor (I don't have access to computers in night time): Code: ...
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Find prime numbers

I wanted to create a program that lists all prime numbers to a given upper bound and that will also provide the amount of primes in the set. After many hours of trial and error I was able to solve it. ...
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Prime number generator in lisp

My implementation is based on the incremental prime sieve described on Wikipedia. I'm relatively new to lisp so I would appreciate any comments on my coding style or on the algorithm. The below code ...
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C code for discovering numbers with interesting/beautiful/symmetric properties

Below is a C code that generates 1000 random positive integers, for each number we check primality, palindromic property, and the square root of the sum of the digits. The purpose is to find/discover ...
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Factor 999999 numbers as fast as possible

My code finds the prime factorization of numbers, ordering the prime numbers from least to greatest. It prints a list of 999999 prime factorizations (which can be changed if you edit the function call ...
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Sieve of Eratosthenes in F#

after looking at the pseudocode for the Sieve of Eratosthenes on wikipedia I tried implementing a similar version using F#. The code runs just fine, that is, it returns all prime numbers up until a ...
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Prime numbers iterator

I am not familiar with iterators. I am confused with the traits approach and the traditional one. I don't know which one I should use in 2021. I wrote a minimal ...
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Average prime number from array- Javascript

My mission is to solve this: Write a function that will take an array of numbers, and will return the average of all numbers in the array that are prime number. So far I wrote this: ...
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Generating prime numbers quickly in rust

I am attempting to re-implement a postponed sieve algorithm for generating prime numbers in Rust. I am able to make a solution that works, but I have to use a couple of ...
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Improving Project Euler code problem #10

So, I just finished Problem 10 on Project Euler, but it took about 3 to 4 minutes for my output to come out, due to bad coding, I guess, any suggestions on how could I optimize my code? Question The ...
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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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A function to find all the primes between two numbers whose reverse is also a prime and doesn't include palindrome, in JS

I am trying to solve a challenge in which I have to write a function that takes in two numbers as arguments and returns an array containing numbers between them which are prime and their reverse is ...
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Sieve of Eratosthenes in Vyxal

I'm trying to learn the golfing language Vyxal because I occasionally contribute to it, and I'm slightly ashamed I can't even use it. To do this, I started with implementing the Sieve of Eratosthenes ...
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