Prime Number Coding Problems Last Updated : 23 Jul, 2025 Suggest changes Share 6 Likes Like Report Prime Numbers are natural numbers greater than 1 and can be divided by itself and 1 only. For instance, numbers 2, 3, 5, 7, and 11 are the prime numbers since they can only be divided by 1 and themselves, there is no other number that can fully divide them Since it is manually very difficult to check if a number is prime (no direct formula) and find prime factors, problems related to prime become really interesting coding problems.Here is a list of example problems based on prime.Check for Prime NumberAll Prime FactorsLargest Prime FactorCheck for Co-PrimePrimes in an ArrayPrimes with Given SumPair of Primes with Given Sum and Min DiffPrime Number GapFind the next prime Check for Strong PrimeClosest Prime N Digit Numbers with Prime DigitsSieve of EratosthenesNth Prime NumberProgram to print prime numbers from 1 to N.Segmented SieveRecommended LinksInteresting Facts About PrimePrime Number Tutorial K kartik Follow 6 Article Tags : Mathematical DSA prime-factor Prime Number Explore DSA FundamentalsLogic Building Problems 2 min read Analysis of Algorithms 1 min read Data StructuresArray Data Structure 3 min read String in Data Structure 2 min read Hashing in Data Structure 2 min read Linked List Data Structure 2 min read Stack Data Structure 2 min read Queue Data Structure 2 min read Tree Data Structure 2 min read Graph Data Structure 3 min read Trie Data Structure 15+ min read AlgorithmsSearching Algorithms 2 min read Sorting Algorithms 3 min read Introduction to Recursion 14 min read Greedy Algorithms 3 min read Graph Algorithms 3 min read Dynamic Programming or DP 3 min read Bitwise Algorithms 4 min read AdvancedSegment Tree 2 min read Binary Indexed Tree or Fenwick Tree 15 min read Square Root (Sqrt) Decomposition Algorithm 15+ min read Binary Lifting 15+ min read Geometry 2 min read Interview PreparationInterview Corner 3 min read GfG160 3 min read Practice ProblemGeeksforGeeks Practice - Leading Online Coding Platform 6 min read Problem of The Day - Develop the Habit of Coding 5 min read My Profile ${profileImgHtml} My Profile Edit Profile My Courses Join Community Transactions Logout Like