The Sieve of Atkin is an advanced algorithm used for finding all prime numbers up to a specified integer, which operates in a more efficient manner than the traditional Sieve of Eratosthenes. Unlike earlier sieves that eliminate multiples of each prime, the Sieve of Atkin uses a mathematical approach based on modular arithmetic to reduce the number of candidate primes significantly. This makes it particularly interesting in the study of additive combinatorics and sieve methods.
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