5777

This number is a composite.

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In 1752, Goldbach conjectured in a letter to Euler that every odd integer can be written in the form p + 2a2, where p is unity or a prime and a is allowed to be zero. This is not the conjecture Goldbach is famous for because it is false--in 1856, M. A. Stern and his students found the only two known exceptions, 5777 being the smallest. Can you find the other?

Submitted: 1999-09-02 23:40:00;   Last Modified: 2008-04-09 02:58:08.
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