robert1986 said:can this be done with 11?
Robert1986 said:Do you mean prime or relatively prime?
DbL said:(7+5)-1
Curious3141 said:1 is not a prime.
DbL said:That is correct.
The number 1 is not considered a prime, although it is a unique integer. The definition of a "prime" number is one that has exactly TWO factors: itself and 1. So the number 1, having only ONE factor, itself, does not meet the definition.
The statement is also known as Goldbach's conjecture and has been a topic of mathematical research for over 270 years. It suggests that every even number greater than 2 can be written as the sum of two prime numbers. This has implications in number theory and cryptography.
No, Goldbach's conjecture is still an unsolved problem in mathematics. While it has been verified for many numbers, there is no formal proof that it holds true for all even numbers.
There are no known counterexamples to Goldbach's conjecture. All even numbers tested so far have been found to be the sum of two primes. However, this does not serve as a proof for the conjecture.
Many mathematicians have attempted to prove Goldbach's conjecture, but it remains an open problem. Some progress has been made, such as the proof of weaker versions of the conjecture and the verification of the conjecture for larger numbers. However, a complete proof is yet to be found.
If Goldbach's conjecture is proven to be true, it could potentially have far-reaching implications in number theory and cryptography. On the other hand, if it is proven to be false, it could lead to new insights and advancements in the field of mathematics.