What are prime numbers differing by 2 called?

The study of twin prime numbers has captivated mathematicians for centuries, as they seek to uncover the secrets of their distribution and abundance within the broader realm of prime numbers. While many conjectures and theories have been proposed, the mystery surrounding twin primes continues to intrigue researchers.

Twin prime numbers are a fascinating concept in mathematics, referring to two consecutive prime numbers that are separated by a mere difference of 2. This unique property makes them stand out amidst the vast expanse of prime numbers, which are themselves defined as natural numbers greater than 1 that have no divisors other than 1 and themselves.

Examples of twin prime pairs abound, with {3,5} and {5,7} serving as the most basic illustrations. These pairs exhibit the essence of twin primes, where two primes follow each other closely, yet remain distinct in their individual prime status.

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The search for twin prime pairs often involves intricate algorithms and computational methods, as the numbers quickly become large and unwieldy. Despite these challenges, mathematicians persist in their quest to uncover new insights into the nature of twin primes.