Authors: Michael Grützmann
every prime number can be a sum of p=3+...+3+2 or q=3+...+3+4, the number of '3's in both equatons always being odd. there are the for two primes p+q the combinations 'p+q', 'p+p' and 'q+q'. we consider case 1: p+q=3k+2+3l+4 3k must be odd, as the product of two odd numbers, 3l must be odd, for the same reason. but the sum of two odd numbers is an even number always. also, if you add more even numbers, like 2 and 4, the result will always be even also. So this results in an even number. cases 'p+p' and 'q+q' analogue.
Comments: 2 Pages.
[v1] 2019-01-19 22:35:49
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