He gave simple proofs of the prime number theorem and the Hardy–Ramanujan partition formula.
He excelled on multiple occasions at the annual Putnam competition while studying at City College of New York and New York University, and later received his PhD from Harvard University in 1953.
[6] He also gave a simplified proof of the Hardy-Ramanujans partition formula.
[9] Newman's love of problem solving comes through in his writing; his published output as a mathematician includes 150 papers and five books.
He taught numerous students over the years, including Robert Feinerman, Jonah Mann, Eli Passow, Louis Raymon, Joseph Bak, Shmuel Weinberger, and Gerald Weinstein at Yeshiva University, and Bo Gao, Don Kellman, Jonathan Knappenberger, and Yuan Xu at Temple University.