Is the Goldbach Conjecture Finally Proven?

In summary, the conversation discusses the Goldbach's Conjecture, which states that every even integer can be written as the sum of two primes. There is currently no proof for this conjecture, but it is believed to be true. Some mathematicians have suggested using the ternary Goldbach conjecture (every number can be written as the sum of three primes) to prove the binary version, but this has not been successful. One person suggests using a function involving prime numbers to prove the conjecture, but others believe a more formal proof is needed. Another person presents a construction method using twin primes to generate all even numbers up to 372, but this is not a full proof. The conversation ends with a discussion on whether this line
  • #36
Sievert said:
Goldbach Conjecture is 2n = Prime (a+n)+ Prime (a-n), 1 is here prime


2 = (0+1)+(1-0)

4 = (1+2)+(2-1)

6 = (2+3)+(3-2)

8 = (3+4)+(4-3)

10= (2+5)+(5-2)

12= (1+6)+(6-1)

14 =(4+7)+(7-4)

16 =(3+8)+(8-3)

18 =(4+9)+(9-4)

20=(3+10)+(10-3)

22=(6+11)+(11-6)
.
.
.
2n=(a+n)+(n-a)
Yes, there exist many numbers "a" that will fit here. What about "prime"?

Proof:

(a+n) = 2n+(a-n)=2n-(n-a)

q.e.d.[/QUOTE]
So, essentially, you are telling us that you do not know what a "proof" is.
 
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  • #37
After this silliness, I'm locking the thread.
 
<h2>1. What is the Goldbach Conjecture?</h2><p>The Goldbach Conjecture is a famous unsolved problem in mathematics that states every even number greater than 2 can be expressed as the sum of two prime numbers.</p><h2>2. How long has the Goldbach Conjecture been unsolved?</h2><p>The Goldbach Conjecture was first proposed by Christian Goldbach in 1742 and has been unsolved for over 270 years.</p><h2>3. What progress has been made towards proving the Goldbach Conjecture?</h2><p>Many mathematicians have attempted to prove the Goldbach Conjecture, but so far no one has been able to provide a complete proof. However, there have been some partial results and numerical verifications that support the conjecture.</p><h2>4. Why is the Goldbach Conjecture important?</h2><p>The Goldbach Conjecture is important because it is a fundamental problem in number theory and has connections to other areas of mathematics, such as prime numbers and additive number theory. It also has practical applications in cryptography and computer science.</p><h2>5. Has there been any recent progress towards proving the Goldbach Conjecture?</h2><p>As of now, there has not been any significant progress towards proving the Goldbach Conjecture. However, there are ongoing efforts by mathematicians to find a proof or disproof of the conjecture, and new techniques and technologies may aid in this pursuit.</p>

1. What is the Goldbach Conjecture?

The Goldbach Conjecture is a famous unsolved problem in mathematics that states every even number greater than 2 can be expressed as the sum of two prime numbers.

2. How long has the Goldbach Conjecture been unsolved?

The Goldbach Conjecture was first proposed by Christian Goldbach in 1742 and has been unsolved for over 270 years.

3. What progress has been made towards proving the Goldbach Conjecture?

Many mathematicians have attempted to prove the Goldbach Conjecture, but so far no one has been able to provide a complete proof. However, there have been some partial results and numerical verifications that support the conjecture.

4. Why is the Goldbach Conjecture important?

The Goldbach Conjecture is important because it is a fundamental problem in number theory and has connections to other areas of mathematics, such as prime numbers and additive number theory. It also has practical applications in cryptography and computer science.

5. Has there been any recent progress towards proving the Goldbach Conjecture?

As of now, there has not been any significant progress towards proving the Goldbach Conjecture. However, there are ongoing efforts by mathematicians to find a proof or disproof of the conjecture, and new techniques and technologies may aid in this pursuit.

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