Carl Pomerance

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Carl Bernard Pomerance (born 1944 in Joplin, Missouri) is an American number theorist. He attended college at Brown University and later received his Ph.D. from Harvard University in 1972 with a dissertation proving that any odd perfect number has at least seven distinct prime factors.[1] He joined the faculty at the University of Georgia, becoming full professor in 1982. He subsequently worked at Lucent Technologies for a number of years, and then became a distinguished Professor at Dartmouth College.


He has over 120 publications, including co-authorship with Richard Crandall of Prime numbers: a computational perspective (Springer-Verlag, first edition 2001, second edition 2005[2]), and with Paul Erdős.[3] He is the inventor of one of the integer factorization methods, the quadratic sieve algorithm, which was used in 1994 for the factorization of RSA-129. He is also one of the discoverers of the Adleman–Pomerance–Rumely primality test.

Awards and honors[edit]

He has won many teaching and research awards, including the Chauvenet Prize in 1985,[4] MAA's Deborah and Franklin Haimo Distinguished Teaching Award in 1997, and the Levi L. Conant Prize in 2001 for "A Tale of Two Sieves".[5]

In 2012 he became a fellow of the American Mathematical Society.[6] He also became the John G. Kemeny Parents Professor of Mathematics in the same year.[7][8]

See also[edit]


  1. ^ Carl Pomerance at the Mathematics Genealogy Project
  2. ^ Crandall, R.; Pomerance, C. (2005). Prime numbers: a computational perspective (second ed.). Springer-Verlag, New York. doi:10.1007/0-387-28979-8. ISBN 978-0-387-25282-7.
  3. ^ Canfield, E.R; Erdös, Paul; Pomerance, Carl (1983). "On a problem of Oppenheim concerning "factorisatio numerorum"". Journal of Number Theory. Elsevier BV. 17 (1): 1–28. doi:10.1016/0022-314x(83)90002-1. ISSN 0022-314X.
  4. ^ Pomerance, Carl (1981). "Recent developments in primality testing". The Mathematical Intelligencer. Springer Science and Business Media LLC. 3 (3): 97–105. doi:10.1007/bf03022861. ISSN 0343-6993. S2CID 121750836.
  5. ^ Pomerance, Carl (December 1996). "A Tale of Two Sieves". Notices of the AMS. 43 (12): 1473–1485.
  6. ^ "List of Fellows of the American Mathematical Society". 2017. Retrieved 2017-06-30.
  7. ^ Blumberg, Joseph (2012-11-08). "Dartmouth Mathematicians Honored by Preeminent Professional Society | Dartmouth News". Dartmouth News. Retrieved 2017-06-30.
  8. ^ Pomerance, Carl. "Curriculum Vitae" (PDF). Retrieved 30 June 2017.

External links[edit]