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It is proved that there are infinitely many primes in the form of 6K + 5 Write specific process, hope to list different ways to prove. The best way to prove the contrary!
First of all, except 2 and 3, prime numbers can only be of type 6K + 1 or 6K + 5. Suppose that there are only a finite number of prime numbers of type 6K + 5, and let them be P1, P2,..., PN. Consider n = 6. P1. P2 ·... · PN + 5, we know that n is not divisible by P1, P2,..., PN, that is, n is not divisible by prime numbers of type 6K + 5
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