Advances in International Applied Mathematics

In this paper, in order to prove that the twin primes are infinite, thep1 , p2 ,…, pn equal-order prime numbers, from which on both sides of their infinite common multiples∓1.Sieve the infinite twin odd numbers shown in formula A, which proves that it is not less than, [5 and 7] The only infinite source of twin primes also proves that there will be no "continuous infinite twin unison" in the sequence of natural numbers, that is, it proves that there is no "maximum twin prime" in the sequence of natural numbers, thus proving that the twin primes are infinite.

Twin odd number; "Continuous infinite twin number"; "Maximum twin prime"