2014年4月23日水曜日

Goldbach's conjecture

Every even integer greater than 2 can be expressed as the sum of two primes. This is called Goldbach's conjecture.


2a=P1+P2



when a is 2, 4=2+2.

In the case of a>2, P1 and P2 must be odd numbers.


P is prime numbers. O is odd numbers.

∴ P1+P2⊂O1+O2⊂2a


I have found the pattern of prime numbers which is based on odd numbers.

P1+P2⊂O1+O2⊂2a is never broken.
It is quite natural that you can keep finding P1.
P2=2a-P1



Therefore, Goldbach's conjecture must be correct.

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