Questions tagged [primes]

For challenges about identifying and manipulating prime numbers

91 questions
43k views

Is this number a prime?

Believe it or not, we do not yet have a code golf challenge for a simple primality test. While it may not be the most interesting challenge, particularly for "usual" languages, it can be nontrivial in ...
11k views

List of primes under a million

This is my first code golf question, and a very simple one at that, so I apologise in advance if I may have broken any community guidelines. The task is to print out, in ascending order, all of the ...
12k views

Find the Smoothest Number

Your challenge is to find the smoothest number over a given range. In other words, find the number whose greatest prime factor is the smallest. A smooth number is one whose largest prime factor is ...
3k views

Find the prime factors

In this task, you have to write a program, that computes the prime factors of a number. The input is a natural number 1 < n < 2^32. The output is a list of the prime factors of the number in the ...
32k views

List of first n prime numbers most efficiently and in shortest code [closed]

Rules are simple: First n primes (not primes below n), should be printed to standard output separated by newlines (primes should be generated within the code) primes cannot be generated by an inbuilt ...
2k views

Calculate the prime factors

We had a prime factorization challenge a while ago, but that challenge is nearly six years old and barely meets our current requirements, so I believe it's time for a new one. Challenge Write a ...
5k views

Coprimes up to N

Given a number n >= 2, output all the positive integers less than n where gcd(n, k) == 1 (...
3k views

Sum of primes between given range

Write the shortest code for finding the sum of primes between a and b (inclusive). Input a ...
1k views

Prime factors buddies

Given an integer N > 1, output all other numbers which prime decompositions have the same digits as the prime decomposition of ...
2k views

What is the average of n, the closest prime to n, the square of n and the closest Fibonacci number to n?

This is a math problem which takes quite many things into question, making it rather challenging, and as you might have guessed, it's a code golf, so it should be as short as possible as well. The ...
2k views

Encode an integer

Given positive integer n > 2. We convert it to an array as follows: If it is equal to 2 return an empty array Otherwise ...
9k views

List Prime Numbers [duplicate]

Introduction Prime numbers are simple, right? Well, now you get your chance to find out! Challenge You must write a program or function that takes an input n and ...
2k views

Find largest prime which is still a prime after digit deletion

Over at https://math.stackexchange.com/questions/33094/deleting-any-digit-yields-a-prime-is-there-a-name-for-this the following question is asked. How many primes are there that remain prime after you ...
13k views

Fastest semiprime factorization

Write a program to factorize a semi-prime number in the shortest amount of time. For testing purposes, use this: 38!+1 (523022617466601111760007224100074291200000001) It is equal to: ...
6k views

Calculate Phi (not Pi)

No, I don't mean ϕ = 1.618... and π = 3.14159.... I mean the functions. φ(x) is the number of integers less than or equal to <...
2k views

Is it a prime? w/o math [closed]

Write a program or function in any language that tells if the input is a prime number. The input is a string representing a natural number in base-10. The output is one of the two strings "Prime" or "...
3k views

Closest 7-Distinct-Prime Product

(via chat) The OEIS entry A123321 lists the sequence of numbers that are the product of seven distinct primes. For brevity, we'll call this a 7DP number. The first few numbers and their corresponding ...
1k views

Find prime factors [duplicate]

A whole program to find the prime factors of a given number. The number will be given on standard input.
1k views

Square-free semiprime counting

Definition A square-free semiprime is a natural number that is the product of two distinct prime numbers. The task Given a natural number n, count all square-...
1k views

Show Ulam's spiral

Similar to this but in this one you need to write spiral starting from the center where: space means composite number .(dot) means prime number. Size of the ...
1k views

Find the smallest prime from a substring

In 1946 Erdos and Copeland proved that a certain number is a normal number, i.e. the digits in its decimal expansion are uniformly distributed. Users will input a sequence of digits and you will find ...
2k views

Prime Factoral Roots

Inspired by digital roots, the prime factoral root of a number is the number that emerges when you take the prime factors of a number, add them together, and repeat the process on the resulting number,...
1k views

Return the first N primes

With a twist; your algorithm has to be less complex than O(X2) where X is the Nth prime. Your solution post should include the character count and the theoretical complexity in terms of X (or N, which ...
9k views

Calculate the number of primes up to n

π(n) is the number of primes less than or equal to n. Input: a natural number, n. Output: π(n). Scoring: This is a fastest-code challenge. Score will be the sum of times for the score cases. I ...
5k views

Find the largest prime whose length, sum and product is prime

The number 113 is the first prime whose length 3 is prime, digital sum 5 = 1 + 1 + 3 is ...
3k views

The Möbius Function

The Möbius Function The Möbius function is an important number theoretic function. Your submission should accept a positive integer n and return the value of the ...
2k views

Fond Memories of Past Primes

Consider a prime number p, written in base 10. The memory of p is defined as the number of distinct primes strictly less than p that are contained as substrings of p. Challenge Given a non-negative ...
2k views

Triangular Ulam spiral

We've had a couple of challenges about the Ulam spiral. But that's not enough. In this challenge we will plot a triangular Ulam spiral (as opposed to the usual, square Ulam spiral). Here's a sketch ...
3k views

Find the largest fragile prime

Consider the function Remove(n, startIndex, count) that removes count digits from the number ...
3k views

Is it a Mersenne Prime?

A number is a Mersenne Prime if it is both prime and can be written in the form 2n-1, where n is a positive integer. Your task is to, given any positive integer, determine whether or not it is a ...
3k views

Print the nth prime that contains n

This question will be a twist on finding the nth prime number. Challenge You must write a program that will take one input n, ...
2k views

Is it a weak prime?

A prime is weak if the closest other prime is smaller than it. If there is a tie the prime is not weak. For example 73 is a weak prime because 71 is prime but 75 is composite. Task Write some ...
4k views

The program that will find the next prime number

Intro: You accidentally corrupted the flow of time with a device you made for fun, that turned out to be a time machine. As a result, you got pushed to the far future. You realized that computing, ...
924 views

Am I a Sophie Germain prime? [duplicate]

A Sophie Germain Prime is a prime number P such that 2P+1 is prime as well. Given a prime number as input, your task is to determine whether it is a Sophie Germain Prime. Standard Input/Output rules ...
364 views

Encode Factor Trees [duplicate]

I once saw on the xkcd fora a format for expressing numbers in an odd way. In this "factor tree" format: The empty string is 1. Concatenation represents multiplication. A number n enclosed in ...
691 views

Divisor sum from prime-power factorisation

The task is to compute the divisor sum of a number given its prime factorisation. Input Two arrays (or something equivalent) of length n, one containing the prime factor and the other containing the ...
2k views

Shortest code to find next prime palindrome

I was trying to find the shortest code possible that given a number n, returns the next prime palindrome number (limited to below 100000). If the number itself is a prime palindrome, the code should ...
1k views

Evaluate the primorial of a number [duplicate]

The primorial of a number is the product of all the primes until that number, itself included. Take a number from STDIN as the input and evaluate its primorial, ...
3k views

Output the PPCG Prime

This is the PPCG Prime 624 digits long ...
14k views

Fastest code to find the next prime

The problem is as follows. Input: An integer n Output: The smallest prime bigger than n. The challenge is to give the ...
1k views

Stuffing primes in a box

Your task is write a program or function that can fill a given rectangle with prime numbers. The width and height of the ...
4k views

Return the Closest Prime Number

Challenge This is a simple one: Given a positive integer up to 1,000,000, return the closest prime number. If the number itself is prime, then you should return that number; if there are two primes ...
2k views

Prime counting function

Introduction The Prime Counting Function, also known as the Pi function $\pi(x)$, returns the amount of primes less than or equal to x. Challenge Your program will take an integer x which you ...
3k views

Is it a Sphenic Number?

A Sphenic Number is a number that is the product of exactly three distinct primes. The first few Sphenic numbers are 30, 42, 66, 70, 78, 102, 105, 110, 114. This is ...
2k views

Find the largest gap between good primes

Following the fine tradition of questions such as Find the largest prime whose length, sum and product is prime , this is a variant on a largest prime challenge. Input Your code should not take any ...
3k views

Output the Trinity Hall Prime

Based on this Math.SE question; number copied from this answer. Number originally from a Numberphile video, of course. Your task is to output the following 1350-digit prime number: ...
3k views

Smallest Prime with a Twist (A068103)

The task at hand is, given a number n, find the smallest prime that starts with AT LEAST n of the number ...
2k views

Concatenating Primes

Challenge: You are given a string containing only digits. Your task is to output the minimum number of primes which must be concatenated to form the string. If this is impossible, output ...