Hans Carl Friedrich von Mangoldt (1854 in Weimar– 1925 in Danzig) was a German mathematician who contributed to the solution of the prime number theorem. Biography Mangoldt completed his Doctorate of Philosophy (Ph.D) in 1878 at the University of Berlin, where his supervisors were Ernst Kummer and Karl Weierstrass. He contributed to the solution of the prime number theorem by providing rigorous proofs of two statements in Bernhard Riemann's seminal paper "On the Number of Primes Less Than a Given Magnitude". Riemann himself had only given partial proofs of these statements. Mangoldt worked as professor at the RWTH Aachen and was succeeded by Otto Blumenthal. See also Prime-counting function Cartan–Hadamard theorem Riemann–von Mangoldt formula Von Mangoldt function Notes 1854 births 1925 deaths 19th-century German mathematicians 20th-century German mathematicians Number theorists Academic staff of RWTH Aachen University Scientists from Weimar