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It is known that any odd number greater than 7 can be expressed as the sum of three odd prime, not necessarily distinct.  Find the smallest odd number that can be expressed as the usm of three odd primes in three different ways.

 Dec 24, 2019
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I'm not sure if this is the smallest prime, but here are 3 different ways of summing it up. 
43 = 3 + 17 + 23
43 = 7 + 5 + 31
43 =11 + 13 + 19

 Dec 25, 2019

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