Question: pls use c++ Design a program that finds all numbers from 2 to 1000 whose prime factors, when added together, sum up to a prime

pls use c++

Design a program that finds all numbers from 2 to 1000 whose prime factors, when added together, sum up to a prime number (for example, 12 has prime factors of 2, 2, and 3, which sum to 7, which is prime; 13 has prime factors of 13, which sum to 13, which is prime). Implement the code for that algorithm.

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