Guido Hoheisel

Guido Kark Heinrich Hoheisel (14 July 1894 – 11 October 1968) was a German mathematician, a professor of mathematics at the University of Cologne. He did his PhD in 1920 from the University of Berlin under the supervision of Erhard Schmidt.

Hoheisel is known for a result on gaps between prime numbers. He proved that if π(x) denotes the prime-counting function, then there exists a constant θ < 1 such that

as x tends to infinity, implying that if p_n denotes the n-th prime number then

for all sufficiently large n. In fact he showed that one may take θ = 32999/33000.

Hoheisel contributed to the journal Deutsche Mathematik.

During World War II Hoheisel was required to teach classes simultaneously at three universities, in Cologne, Bonn, and Münster. His doctoral students include Arnold Schönhage.