Question

$\huge{\textbf{\textsf{{☆ QUE}}{\purple{ST}}{\pink{ION ☆} \: {{}{:}}}}}$

What is ''Goldbach's Conjecture''


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Answer 1

Answer:

$\huge{\textbf{\textsf{{☆Goldbach’s conjecture is one of the best-known unsolved problems in mathematics. It is a simple matter to check the conjecture for a few cases:}}{\purple{8 = 5+3, 16 = 13+3, 36 = 29+7. It has been confirmed for numbers up to more than a million million million. But there is an infinite number of possibilities, so this approach can never prove the conjecture}}{\pink{Many brilliant mathematicians have tried and failed to prove it. If a proof is found, it will likely involve some radically new idea or approach.☆} \: {{}{:}}}}}</p><p>$

Answer 2

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$\tt \underline \blue{simple}$

• → Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even whole number greater than 2 is the sum of two prime numbers.

$\tt \underline \orange{importance}$

• → The GRH is one of the most important unsolved problems in mathematics. If solved, it would help us understand the distribution of prime numbers much better than we do. In fact, if the GRH were proved, the ternary Goldbach conjecture would be a corollary.

$\tt \underline \pink{numbers}$

• → Goldbach number is a positive integer that is the sum of two odd primes (Li 1999). Let (the "exceptional set of Goldbach numbers") denote the number of even numbers not exceeding which cannot be written as a sum of two odd primes. Then the Goldbach conjecture is equivalent to proving that for every .

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