Goldbach’s conjec u e p o en
By me Wadï Mami
Email : wma[email p o ec ed]m. n / did[email p o ec ed]m
Da e : 30/10/2025
Goldbach's conjec u e is one o he oldes and bes -known unsol ed
p oblems in numbe heo y and all o ma hema ics. I s a es ha
e e y e en na u al numbe g ea e han 2 is he sum o wo p ime
numbe s.
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A p ime numbe mus be an odd numbe
The sum o 2 odd numbe s is an e en numbe
Then
The sum o wo p ime numbe s is an e en numbe (A).
E dös Theo em : Fo e e y in ege n > 1, i exis s always a p ime
numbe be ween n and 2n
(Sou ce : Le Beau li e des Ma hs De Py hago e à la 57 dimension
DUNOD edi ion, au ho Cli o d A.Picko e )
By écu ence o E dös Theo em men ioned abo e and (A)
The e is always k e en numbe which is he sum o wo p ime
numbe s p and q. (B)
p o k k <= p < =2k (i)
q o k/2 k / 2<= q <= k (j)
(i) + (j) k + k /2 <= p+q <= 3k ie
3k/2 <= p+q <= 3k wich implies
(B) sum p+q is an e en numbe because p+q = 3k o p+q = 2k and k
is e en hen by co ela ion
We can s a e as we ha e (A) and (B) : e e y e en na u al numbe
g ea e han 2 is he sum o 2 p ime numbe s.
(wha needed o be demons a ed) Goldbach’s conjec u e p o en.
