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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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There could be many answers for this question. One of them is 30 which is a sum of 15 and 15, both non-prime.

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10y ago
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Q: What composite numbers are not the sum of two prime numbers?
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