Carl Friedrich Gauss's Timeline: Life, Photos, and Key Events
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in 1796
regular polygon can be constructed by compass and straightedge if and only if the number of sides is the product of distinct Fermat primes and a power of 2
on 5/31/1796
which gave a good understanding of how the prime numbers are distributed among the integers.
on 7/10/1796
that every positive integer is representable as a sum of at most three triangular numbers
on 10/1/1796
a result on the number of solutions of polynomials with coefficients in finite fields, which 150 years later led to the Weil conjectures
in 1799
which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root
in 1799
that every integral rational algebraic function of one variable can be resolved into real factors of the first or second degree
in 1801
This work was fundamental in consolidating number theory as a discipline and has shaped the field to the present day.
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