There are an infinite number of twin primes.
This is true, but as yet there has not been published a valid proof of it.
Perhaps soon someone will publish a valid proof.
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A famous conjecture is the Twin prime conjecture, which states that there are infinitely many "twin primes" - primes which are 2 apart (for example, 11 and 13, or 17 and 19, are twin primes)
Yes, there are an infinite number of twin primes.
A twin prime pair are two primes separated by 2. For example, 3 and 5 are twin primes. It is conjectured that there are an infinite number of twin primes.
There are four pairs of twin primes between 2 and 35: (5,7) (11,13) (17,19) (29,31).
twin primes are 2 prime numbers with a difference of 2 the prime numbers 5 and 3 are twin primes because 5 minus 3 equals 2 so 109 and 111 are not twin primes