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Twin prime

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Twin primes are pairs of prime numbers of the form p and p+2. The first few pairs of twin primes are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), and so on. Just as with the primes themselves, twin primes become more and more sparse as one looks at larger and larger numbers.

Twin Prime Conjecture

Main article: Twin Prime Conjecture

The Twin Prime Conjecture asserts that there are infinitely many pairs of twin primes. It is not known whether this statement is true.

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Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
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