Fading Coder

One Final Commit for the Last Sprint

Integer Factorization Algorithms: Prime, Divisor, and Factorial Decomposition

Prime FactorizationDecomposing an integer into its prime components operates with a time complexity of O(√n). The following implementation accepts an integer val and a boolean flag uniqueOnly. If uniqueOnly is true, the result contains distinct primes only; otherwise, all prime factors includi...

Using a Modified Sieve to Count Composite Numbers Built from Exactly 12 Prime Factors

A specialized variant of the Sieve of Eratosthenes can simultaneously tag integer primality and record the count of prime factors for each composite. This technique is particularly effective when searching for numbers within a range whose total number of prime factors (with multiplicity) equals a gi...