twin prime numbers

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July 14, 2026

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Twin primes are pairs of prime numbers that differ by two. Examples include (3, 5), (5, 7), (11, 13), and (17, 19). The twin prime conjecture, first proposed by Alphonse de Polignac in 1846, asserts that there are infinitely many such pairs. While primes become less frequent as numbers increase, twin primes become even rarer.12

Mathematicians have made progress in understanding gaps between primes. In 2013, Yitang Zhang proved that there are infinitely many prime pairs with a difference of 70 million, a bound later improved to 246. These advancements may contribute to solving the Riemann hypothesis.2

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twin prime conjecture
…that there are infinitely many twin primes, or pairs of primes that differ by 2. For example, 3 and 5, 5 and 7, 11 and 13, and 17 and 19 are twin primes. As numbers get larger, primes become less frequent and twin primes rarer still.
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…that there are infinitely many twin primes, or pairs of primes that differ by 2. For example, 3 and 5, 5 and 7, 11 and 13, and 17 and 19 are twin primes. As numbers get larger, primes become less frequent and twin primes rarer still.
Read More