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.

Mangoldt completed his Doctorate of Philosophy (Ph.D) in 1878 at the University of Berlin, where his supervisors were Ernst Kummer and Karl Weierstrass.^[1] 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.

• Prime-counting function
• Cartan–Hadamard theorem
• Riemann–von Mangoldt formula
• Von Mangoldt function