If an even number is the sum of two odd prime numbers, can you assume that, that even number is the sum of three prime numbers? and if an even number is the sum of three prime numbers, can you assume that it is the sum of two prime numbers?
obviously this is true up to a known even number 2e, if and only if every even number before it is the sum of two prime numbers, but what about 2e+2? obviously, it's the sum of three prime numbers. I know that this is true when one of the prime numbers that represent 2e is a lower twin prime, or if e+1 is prime itself.
2007-04-13
14:56:54
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5 answers
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asked by
Nick S
2
in
Mathematics