Paul Trevier Bateman is an American number theorist, known for formulating the Bateman–Horn conjecture on the density of prime number

Prime number

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...

 values generated by systems of polynomial

Polynomial

In mathematics, a polynomial is an expression of finite length constructed from variables and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents...

s and the New Mersenne conjecture relating the occurrences of Mersenne prime

Mersenne prime

In mathematics, a Mersenne number, named after Marin Mersenne , is a positive integer that is one less than a power of two: M_p=2^p-1.\,...

s and Wagstaff primes.

Bateman received his Ph.D. from the University of Pennsylvania

University of Pennsylvania

The University of Pennsylvania is a private, Ivy League university located in Philadelphia, Pennsylvania, United States. Penn is the fourth-oldest institution of higher education in the United States,Penn is the fourth-oldest using the founding dates claimed by each institution...

 in 1946, under the supervision of Hans Rademacher

Hans Rademacher

Hans Adolph Rademacher was a German mathematician, known for work in mathematical analysis and number theory.-Biography:...

. After temporary positions at Yale University

Yale University

Yale University is a private, Ivy League university located in New Haven, Connecticut, United States. Founded in 1701 in the Colony of Connecticut, the university is the third-oldest institution of higher education in the United States...

 and the Institute for Advanced Study

Institute for Advanced Study

The Institute for Advanced Study, located in Princeton, New Jersey, United States, is an independent postgraduate center for theoretical research and intellectual inquiry. It was founded in 1930 by Abraham Flexner...

, he joined in 1950 the mathematics department at the University of Illinois at Urbana-Champaign

University of Illinois at Urbana-Champaign

The University of Illinois at Urbana–Champaign is a large public research-intensive university in the state of Illinois, United States. It is the flagship campus of the University of Illinois system...

, where he was department chair for 15 years and is now an emeritus professor. He was the doctoral advisor

Doctoral advisor

A doctoral advisor is an advanced member of a university faculty whose role is to guide a graduate student who is a candidate for a doctorate degree, helping them select coursework, as well as shaping, refining and directing the students' choice of sub-discipline...

 of 20 students, including George B. Purdy

George B. Purdy

George Barry Purdy is a mathematician and computer scientist who specializes in combinatorial geometry and number theory. He is the namesake of the Purdy polynomial used in operating systems to hash user passwords....

.

Textbooks

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

Edmund Landau

Edmund Georg Hermann Landau was a German Jewish mathematician who worked in the fields of number theory and complex analysis.-Biography:...

's German language

German language

German is a West Germanic language, related to and classified alongside English and Dutch. With an estimated 90 – 98 million native speakers, German is one of the world's major languages and is the most widely-spoken first language in the European Union....

 text Elementary Zahlentheorie.

Trivia

Bateman attended Upper Moreland High School

Upper Moreland High School

Upper Moreland High School is a comprehensive public high school, serving grades 9–12, located in Willow Grove, Pennsylvania, about fifteen miles outside of Philadelphia. It is the only high school in the Upper Moreland School District, which includes part of Huntingdon Valley, Hatboro, and Willow...

, which recognized his accomplishments by inducting him into its Hall of Fame in 1999.