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Carl Friedrich Gauss's Timeline: Life, Photos, and Key Events

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1792

in 1792
. now Braunschweig University of Technology

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750819


1795


1796

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

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750823

. the construction of the heptadecagon

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750824

. which gave a good understanding of how the prime numbers are distributed among the integers.

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750826

. that every positive integer is representable as a sum of at most three triangular numbers

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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

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750829


1798


1799

in 1799
. which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root

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750830

in 1799
. that every integral rational algebraic function of one variable can be resolved into real factors of the first or second degree

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750831


1801

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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750818

in 1801
" regular heptadecagon (17-sided polygon) can be constructed with straightedge and compass"
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750834


1803


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