1. For the first even number 12 = 3+3+3+3.
We allow justice for the previous N> 5: p1 + p2 + p3 + p4 =2N [3] We will add to both parts on 1 p1 + p2 + p3 + p4 +1 =2N +1 [4] where on the right the odd number also agrees [1] p1 + p2 + p3 + p4 +1= p5 + p6 + p7 [5]
Having added to both parts still on 1
p1 + p2 + p3 + p4 + 2= p5 + p6 + p7 +1 [6] We will unite p6 + p7 +1 again we have some odd number,
which according to [1] we replace with the sum of three simple and as a result we receive: p1 + p2 + p3 + p4 + 2= p5 + p6 + p7 + p8 [7] at the left the following even number is relative [3], and on the right the sum
four prime numbers. p1 + p2 + p3 + p4 = 2N [8]
Thus obvious performance of an inductive mathematical method. As was to be shown.
This is item 1. Previous 12 next14, previous 14 next 16 i mat. induction.