Here's an algorithm that uses the Fibonacci sequence to generate random numbers between 1-69 and 1-26 in C++: #include <iostream> #include <cmath> using namespace std; // Helper function to check if a number is prime bool is_prime(int n) { if (n <= 1) return false; if (n == 2) return true; if (n % 2 == 0) return false; for (int i = 3; i <= sqrt(n); i += 2) { if (n % i == 0) return false; } return true; } int main() { int fib1 = 0, fib2 = 1, fib3; int nums[5], powerball; // Generate 5 numbers between 1-69 for (int i = 0; i < 5; i++) { do { fib3 = fib1 + fib2; fib1 = fib2; fib2 = fib3 % 69; } while (fib2 < 1); nums[i] = fib2; } // Generate 1 number between 1-26 do { fib3 = fib1 + fib2; fib1 = fib2; fib2 = fib3 % 26; } while (fib2 < 1 || is_prime(fib2)); powerball = fib2; // Output the generated numbers cout << "Numbers: "; for (int i = 0; i < 5; i++) { cout << nums[i] << " "; } cout << endl; cout << "Powerball: " << powerball << endl; return 0; }