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Is 19 a Twin Prime?

Published in Prime Numbers 1 min read

Yes, 19 is a twin prime.

A twin prime is a prime number that is either 2 less or 2 more than another prime number. In other words, a twin prime exists as part of a "twin prime pair," which are two prime numbers that differ by 2.

  • Definition of Prime Number: A prime number is a whole number greater than 1 that has only two divisors: 1 and itself. Examples include 2, 3, 5, 7, 11, 13, 17, 19, 23, etc.

  • Definition of Twin Primes: Twin primes are pairs of prime numbers that differ by 2. Examples include (3, 5), (5, 7), (11, 13), and (17, 19).

To determine if 19 is a twin prime, we need to check if either 19-2 or 19+2 is also a prime number.

  • 19 - 2 = 17. 17 is a prime number.
  • 19 + 2 = 21. 21 is not a prime number (21 = 3 x 7).

Since 17 is a prime number and differs from 19 by 2, (17, 19) forms a twin prime pair. Therefore, 19 is a twin prime.

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