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In 1741 Christian Goldbach conjectured that every even number could be written as a sum of two primes. [At the time 1 was considered a prime and so 2 = 1 + 1.] The conjecture has not been proven so there may be even numbers which cannot be so written. Also every number which is greater than 5 and is one fewer than a multiple of 6 cannot be so written.
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What are two composite numbers that each have prime factors with the sum of 10?
21 and 32
What are two composite numbers whose prime factors have a sum of 18?
65 and 77
What numbers are prime numbers and what numbers are composite?
Prime numbers have two factors, composite numbers have more than two.
What does prime composite mean?
Prime numbers have two factors; composite numbers have more than two.
Does the sum of two prime numbers equal a prime number?
If one of the two numbers is 2, the sum of two prime numbers may sometimes be a prime number. Examples of this are 2 + 11 = 13, 2 + 521 = 523, 2 + 281 = 283. There are an infinite number of similar examples where the sum of 2 plus a prime is another prime. However if neither number is 2, then the sum of two prime numbers is always an even number greater than 2 and therefore composite.
