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A twin prime is a pair of prime numbers, where one prime is two bigger than the other. The smallest pair of twin primes is 3 and 5. Next comes 5 and 7. Then comes 11 and 13, and then 17 and 19.
An isolated prime is a prime number p where neither p - 2 nor p + 2 is prime. In other words, p is not part of a twin prime pair. For example, 23 is an isolated prime since 21 and 25 are both not prime numbers.
The first few isolated primes are