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As a professor Stern taught Bernhard Riemann along with Gauss. Stern was also very helpful to Ferdinand Eisenstein in formulating a proof of the quadratic reciprocity theorem. Stern was interested in primes that cannot be expressed as the sum of a prime and twice a square (now known as Stern primes).

He is known for formulating Stern's diatomic series

- 1, 1, 2, 1, 3, 2, 3, 1, 4, …

He is also known for the Stern–Brocot tree which he wrote about in 1858 and which Brocot independently discovered in 1861.

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