The Harvard-MIT riddle at HMMT 2025 involves solving a complex mathematical problem.To find the sum of the prime factors of (9⁹ - 8⁸)/1001 without a calculator, clever manipulations are required.The key is to factorize the expression and then add up the prime factors to solve the riddle.By breaking down the numerator and denominator into prime factors, the problem can be approached systematically for a solution.