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My Favorite “Conjecture” By: none other than THE GREAT Ben Carroll “Goldbach’s Conjecture”

My Favorite “Conjecture” By: none other than THE GREAT Ben Carroll “Goldbach’s Conjecture”

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Page 1: My Favorite “Conjecture” By: none other than THE GREAT Ben Carroll “Goldbach’s Conjecture”

My Favorite “Conjecture”

By: none other than THE GREAT Ben Carroll

“Goldbach’s Conjecture”

Page 2: My Favorite “Conjecture” By: none other than THE GREAT Ben Carroll “Goldbach’s Conjecture”

- Unsolved?!! In number theory??!!! In ALL of Mathematics???!!!!

-It States:

“Every even integer greater than 2 can be written as the sum of two primes.”

Goldbach first stated on 7 June 1742, in a letter to Euler, that

“Every ineterger greater than 2 can be written as the sum of three primes.”

This was abandoned (as he considered 1 a prime number), and the modern version of his conjecture states,

“Every integer greater than 5 can be written as the sum of three primes.”

Page 3: My Favorite “Conjecture” By: none other than THE GREAT Ben Carroll “Goldbach’s Conjecture”

Euler became interested and replied with an equivalent conjecture:

“Every even integer greater than 2 can be written as the sum of two primes.”

Euler added that he regarded this an entirely certain theorem, despite being unable to prove it.

“Strong” Goldbach Conjecture

“Weak” Goldbach Conjecture

Page 4: My Favorite “Conjecture” By: none other than THE GREAT Ben Carroll “Goldbach’s Conjecture”

So why is in my favorite “theorem?”

IT’S SIMPLE ADDING!!!!!!

And YET it still hasn’t been proven!!!

Page 5: My Favorite “Conjecture” By: none other than THE GREAT Ben Carroll “Goldbach’s Conjecture”

GO NAVY!!!!