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Unconfirmed proof of Goldbach conjecture(only for reference)

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by Wiki user User:Roviury

  • Please dont unreasonably delete! Even it is unconfirmed
  • It just for everybody to think and verify

Unconfirmed proof of weak Goldbach conjecture

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ps.ALL primes must be formed "2k+1"(k>=1,where k is an integer)
(
2k
2k+1
2k+2=2(k+1)
2k+3=2(k+1)+1
...
)

pf:
Let a and b are the 2 primes, p and q are >=1
a=2p+1>=3
b=2q+1>=3
a+b=2p+2q+2
a+b=2(p+q+1)
i.e. a+b=2n,where n is an integer
(a+b>=6)

however,it cannot use in "a+b=4"
but 4 also can be formed 2+2
i.e. a+b>=4

Unconfirmed proof of strong Goldbach conjecture

[edit]

ps.ALL primes must be formed "2k+1"(k>=1,where k is an integer)
(
2k
2k+1
2k+2=2(k+1)
2k+3=2(k+1)+1
...
)

pf:
Let a, b and c are the 3 primes, p, q and r are >=1
a=2p+1>=3
b=2q+1>=3
c=2r+1>=3
a+b+c=2p+2q+2r+3
a+b+c=2(p+q+r+1)+1
i.e. a+b+c=2n+1,where n is an integer
(a+b+c>=9)