Paul T. Bateman

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Paul Trevier Bateman (June 6, 1919 – December 26, 2012[1]) was an American number theorist, known for formulating the Bateman–Horn conjecture on the density of prime number values generated by systems of polynomials[2] and the New Mersenne conjecture relating the occurrences of Mersenne primes and Wagstaff primes.[3]

Born in Philadelphia,[4] Bateman received his Ph.D. from the University of Pennsylvania in 1946, under the supervision of Hans Rademacher.[5] After temporary positions at Yale University and the Institute for Advanced Study,[6] 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.[7] He was the doctoral advisor of 20 students, including Marvin Knopp, Kevin McCurley, and George B. Purdy.[5][7]

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.[8]


Bateman was a coauthor of Analytic Number Theory: An Introductory Course.[9] 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.[10]


Bateman attended Upper Moreland High School, which recognized his accomplishments by inducting him into its Hall of Fame in 1999.


  1. ^ Paul Bateman (obituary), News-Gazette, 12-27-2012.
  2. ^ Bateman, Paul T.; Horn, Roger A. (1962), "A heuristic asymptotic formula concerning the distribution of prime numbers", Mathematics of Computation 16: 363–367, doi:10.2307/2004056, MR 148632 .
  3. ^ Bateman, Paul T.; Selfridge, John L.; Wagstaff, Samuel S., Jr. (1987), "The new Mersenne conjecture", American Mathematical Monthly 96: 125–128, doi:10.2307/2323195, MR 0992073 .
  4. ^ [1]
  5. ^ a b Paul Trevier Bateman at the Mathematics Genealogy Project.
  6. ^ Institute for Advanced Study: A Community of Scholars
  7. ^ a b Faculty research, UIUC Mathematics Department, retrieved 2010-03-21.
  8. ^ American Mathematical Society Lists of Past Officers
  9. ^ Bateman, Paul T.; Diamond, Harold G. (2004). Analytic Number Theory: An Introductory Course. World Scientific Publishing Company. ISBN 978-981-256-080-3. 
  10. ^ Elementary Number Theory. Edmund Landau; translated by Jacob E. Goodman, with exercises by Paul T. Bateman and Eugene E. Kohlbecker. Chelsea Publishing, 1966, reprinted by the American Mathematical Society, 1999. ISBN 978-0-8218-2004-9.