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Prime Product Finder Determine three distinct prime numbers between 1 and 100 whose product lies within a given range [l, r]. If no valid triplet exists, output -1. #include <vector> #include <iostream> #include <cmath> using namespace std; bool check_prime(int num) { if (num < 2) return false; for (int i = 2; i * ...

The Ternary Goldbach Conjecture asserts that any odd integer greater than 7 can be represented as the sum of three prime numbers. While proven for sufficiently large numbers, verifying this for smaller integers requires an effiicent computational approach. Given an odd integer n (9 < n < 20,000), our objective is to find a triplet of prim ...