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# Even numbers expressed as the sum of two primes

Can we prove that the even number greater than 2 can be expressed as the sum of two prime numbers....

Note by Prabhav Bansal
2 years, 4 months ago

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This is Goldbach conjecture. No one has proved this conjecture till now. It is million-dollar conjecture.This is the best-known unsolved conjecture. If a person has a correct proof of it, he will be prized 1 million dollars. The proof would be judged by a panel of 6 mathematicians. ( As per the article given in Koshy's book) . Also this is the strong Goldbach conjecture. Go ahead if you know the proof:-)

- 2 years, 4 months ago

As we know after 2 all prime numbers are only odd. & We also know that sum of 2 odd numbers will always be even. Then what what do u want to know exactly???

- 2 years, 4 months ago

But this is the converse. Please don't prove the converse.

- 2 years, 4 months ago

yes

- 2 years, 4 months ago

Can you prove this? I am asking for the proof.

- 2 years, 4 months ago

What have you tried? What are your thoughts?

Staff - 2 years, 4 months ago

I want to ask that can we prove that the even numbers >2 can be expressed as the sum of prime numbers. Eg: 6=3+3 22=17+5

- 2 years, 4 months ago

That is an interesting question. What have you tried? What are your thoughts? Do you think this is always possible? If yes, why? If no, why not?

Staff - 2 years, 4 months ago