At the academy Gauss independently discovered Bode's law, the binomial theorem and the arithmetic- geometric mean, as well as the law of quadratic reciprocity and the prime number theorem.
Sa academy gauss malaya natuklasan mensahero ng batas, ang may dalawang pangalan teorama at ang arithmetic-geometriko ibig sabihin, pati na rin ang batas ng parisukat katumbasan at ang kasikatan bilang teorama.