Subjects number theory

Largest Prime

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Largest Prime


1. Let's analyze each statement about the largest prime number. 2. Statement 1: "The largest prime number can be found using quantum computers." This is false because there is no largest prime number; primes are infinite. 3. Statement 2: "The largest prime number exists such that all other prime numbers are less than that number but it has not been found yet." This is false because by the fundamental theorem of arithmetic and Euclid's proof, there is no largest prime number. 4. Statement 3: "None of these." This is true if all other statements are false. 5. Statement 4: "Newton found a method for discovering the largest prime number but failed to use it as there were no computers." This is false; Newton did not find such a method, and the concept of a largest prime number does not exist. Final answer: The correct choice is "None of these."