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The 3N+1 problem, also known as the Collatz conjecture, is a famous unsolved mathematical puzzle which proposes that starting with any positive integer and repeatedly applying two simple arithmetic rules will always eventually reduce that number to. Despite its simplicity, some of the world's most brilliant minds have failed to prove it. The legendary mathematician Paul Erdős even remarked that "mathematics may not be ready for such problems." The Two Simple Rules To run the process, pick any positive whole number n and follow these steps: If the number is even: Divide it by 2. If the number is odd: Multiply it by 3 and add 1 Repeat the process over and over with the resulting numbers.