Paul Trevier Bateman (June 6, 1919 - December 26, 2012) was an American number theorist, known for formulating the Bateman-Horn conjecture on the density of prime number values generated by systems of polynomials and the New Mersenne conjecture relating the occurrences of Mersenne primes and Wagstaff primes.
Born in Philadelphia, Bateman received his Ph.D. from the University of Pennsylvania in 1946, under the supervision of Hans Rademacher. After temporary positions at Yale University and the Institute for Advanced Study, he joined in 1950 the mathematics department at the University of Illinois at Urbana-Champaign, where he was department chair for 15 years and was subsequently an emeritus professor. He was the doctoral advisor of 20 students, including Marvin Knopp, Kevin McCurley, and George B. Purdy.
Bateman was a member of the American Mathematical Society for 71 years. He served as an Associate Secretary for 16 years, a member of the Board of Trustees for 4 years, and a member of the Mathematical Reviews Committee for 5 years.
Bateman was a coauthor of Analytic Number Theory: An Introductory Course. He was also a contributor to the second edition of the textbook Elementary Number Theory, a translation into English of Edmund Landau's German language text Elementare Zahlentheorie.
Bateman attended Upper Moreland High School, which recognized his accomplishments by inducting him into its Hall of Fame in 1999.