How close can the two prime numbers be if they are both greater than 5?why can they not be closer?
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Every integer that can be written as the sum of two primes can also be written as the sum of as many primes as one wishes, until all terms are units. Goldbach was following the now-abandoned convention of considering 1 to be a prime number, so that a sum of units would indeed be a sum of primes.
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