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+1 vote
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in Algebra by (1.7k points)
reopened by
Can every even integer greater than 2 be written as the sum of two primes?

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2 Answers

+1 vote
by (63.1k points)

Yes, Goldbach's conjecture states that - Every even integer greater than 2 can be expressed as the sum of two primes.

Goldbach’s conjecture is one of the oldest and best-known unsolved problems in number theory of mathematics.

A prime is a whole number which is only divisible by 1 and itself. 

Examples:

  • 4 = 2 + 2 and 2 is a prime, so the answer to the question is "yes" for the number 4.
  • 6 = 3 + 3 and 3 is prime, so it's "yes" for 6 also.
  • 8 = 3 + 5, 5 is a prime too, so it's another "yes".
  • 13 = (3 + 5 + 5) or (3 + 3 + 7)
  • 15 = (3 + 5 + 7)
by (1.7k points)
It's good but not a complete answer.
by (63.1k points)
+1
Yes, there is a lot of discussion on it. So just to summarize the answer  I have given the straight answer.
I can also explain in detail.
0 votes
by (15 points)
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