Every even integer greater than 2 can be expressed as the sum of two prime numbers. Prove or disprove this conjecture.
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Answer (1)
Answer:This conjecture is known as Goldbach's Conjecture. It has been tested for incredibly large numbers, and no counterexamples have been found. However, it remains unproven. Here's why it's so difficult to prove: - Prime Numbers are Irregular: Prime numbers don't follow a predictable pattern. They become increasingly sparse as you go higher, making it hard to find a general rule for representing even numbers as sums of two primes.- Complexity of the Problem: There's no known method to systematically check all even numbers and guarantee that they can be expressed as the sum of two primes. In summary: Goldbach's Conjecture is a famous unsolved problem in mathematics. While it's widely believed to be true, a rigorous mathematical proof is still elusive.
