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Explore a custom prime sieve algorithm designed to find prime numbers up to one trillion, then witness a performance comparison between the legendary PDP-11 and modern Threadripper processors. Dive into the intricacies of prime number calculation and computer architecture as the video demonstrates the capabilities of both vintage and contemporary hardware. Learn about the Primes Project and access the sieve code through provided GitHub links. Gain insights into the evolution of computing power and efficiency in handling complex mathematical operations.