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Contradict Goldbach (Posted on 2015-03-03) Difficulty: 3 of 5
In 1752 Goldbach conjectured that every odd integer can be written in the form p + 2a^2, where p is unity or a prime and a is allowed to be zero.
This conjecture is found to be false - there are only two known composite exceptions, 5777 (=53*109) being one of them.

Please find the other, it is below 99,999.

No Solution Yet Submitted by Ady TZIDON    
Rating: 1.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Spoiler | Comment 1 of 3
The link below gives the answer as well as some history and interesting math.
  Posted by xdog on 2015-03-03 11:38:24
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