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Carl Friedrich Gauss

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in 1792
now Braunschweig University of Technology
...
750819
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
...
750823
the construction of the heptadecagon
...
750824
which gave a good understanding of how the prime numbers are distributed among the integers.
...
750826
that every positive integer is representable as a sum of at most three triangular numbers
...
750827

" ΕΥΡΗΚΑ! num = Δ + Δ’ + Δ"

...
750828
a result on the number of solutions of polynomials with coefficients in finite fields, which 150 years later led to the Weil conjectures
...
750829
in 1799
which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root
...
750830
in 1799
that every integral rational algebraic function of one variable can be resolved into real factors of the first or second degree
...
750831
in 1801
This work was fundamental in consolidating number theory as a discipline and has shaped the field to the present day.
...
750818

in 1801
" regular heptadecagon (17-sided polygon) can be constructed with straightedge and compass"

...
750834
in 1809
(Theory of motion of the celestial bodies moving in conic sections around the Sun)
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750835
in 1818
an instrument that uses a mirror to reflect sunlight over great distances, to measure positions.
...
750837

in 1832
to
" To praise it would amount to praising myself. For the entire content of the work ... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years."

...
750838
in 1833
which connected the observatory with the institute for physics in Göttingen
...
750842
in 1840
in which he gave the first systematic analysis on the formation of images under a paraxial approximation (Gaussian optics)
...
750843
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750832