A Goldbach number is a positive integer that can be expressed as the sum of two odd primes. Since four is the only even number greater than two 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. Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and in all of mathematics. It states: Every even integer greater than 2 can be expressed as the sum of two primes. The conjecture has been shown to hold up through 4 × and is generally assumed to be true, but remains unproven despite considerable. Jul 19, · // This program demonstrates Goldbach's Conjecture // that every even number greater than 2 is the sum // of two prime numbers. The user is asked to input // an upper and lower bound and the program shows each even number // and shows two prime numbers that sum up to the even number.
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