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Goldbach’s conjecture On 7 June 1742, the German mathematician Christian Goldbach wrote a letter to Leonhard Euler, in which he proposed the following conjecture. Goldbach’s conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. Every even integer greater than 2 can be expressed as the sum of two primes What is a conjecture ?😕😕😕 A Conjecture is a conclusion or proposition based on incomplete information, for which no proof or disproof has yet been found. Goldbach number A Goldbach number is a positive even integer that can be expressed as the sum of two odd primes. Since 4 is the only even number greater than 2 that requires the even prime 2 in order to be written as the sum of two primes, another form of the statement of Goldbach’s conjecture is that all even integers greater than 4 are goldbach numbers. The conjecture has been shown to hold for all integers less than 4⨯〖10〗^18, but remains unproven considera...
Consider the following sentence: “ This statement is false ” Is that true? 😧 If so, that would make this statement false. But if it’s false, then the statement is true. By referring to itself directly, this statement creates an unresolvable paradox. So if it’s not true and it’s not false—what is it?
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