Carl Pomerance (born in 1944 in Joplin, Missouri) is a well known number theorist. Joplin is a city in southern Jasper County and northern Newton County in the southwestern corner of the U Missouri ( or) is a state in the Midwestern region of the United States bordered by Iowa, Illinois, Kentucky, Tennessee Number theory is the branch of Pure mathematics concerned with the properties of Numbers in general and Integers in particular as well as the wider classes 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 N has at least 7 distinct prime factors. Brown University is a highly esteemed private University located in Providence, Rhode Island and is a member of the Ivy League. "PhD" redirects here for other uses see PhD (disambiguation. In mathematics a perfect number is defined as a positive integer which is the sum of its proper positive Divisors that is the sum of the positive divisors excluding In Number theory, the prime factors of a positive Integer are the Prime numbers that divide into that integer exactly without leaving a remainder [1] He immediately joined the faculty at the University of Georgia, becoming full professor in 1982. The University of Georgia ( UGA) is a public research University located in Athens, Georgia, the oldest and largest of the He subsequently worked at Lucent Technologies for a number of years, and then became a Distinguished Professor at Dartmouth College. Lucent Technologies was a technology company composed of what was formerly AT&T Technologies, which included Western Electric and Bell Labs. Distinguished Professor is an Honorary title at many universities for faculty who are recognized by colleagues throughout the world as leaders in their fields Dartmouth College ( is a private, Coeducational University located in Hanover, New Hampshire, U
He has won many teaching and research awards, including the Chauvenet Prize in 1985, MAA's distinguished university teaching award in 1997, and the Conant Prize in 2001. The Chauvenet Prize is the highest award for mathematical Expository writing. He has over 120 publications to his credit, including co-authorship with Richard Crandall of Prime numbers: a computational perspective, Springer-Verlag, 2001, 2005. Richard E Crandall is an American Computer scientist and physicist who has made contributions to Computational number theory, most notably the development Springer Science+Business Media or Springer (ˈʃpʁɪŋɐ is a worldwide Publishing company based in Germany, which publishes textbooks academic He is the inventor of one of the most important factorisation methods, the quadratic sieve algorithm, which was used in 1994 for the factorisation of RSA-129. The quadratic sieve Algorithm ( QS) is a modern Integer factorization algorithm and in practice the second fastest method known (after the General In Mathematics, the RSA numbers are a set of large Semiprimes (numbers with exactly two Prime factors that are part of the RSA Factoring Challenge He is also one of the discoverers of the Adleman-Pomerance-Rumely primality test. The Adleman–Pomerance–Rumely primality test ( APR) is a Deterministic algorithm that tests if a positive integer is prime.
His Erdős number is 1. The Erdős number (ɛrdøːʃ honoring the late Hungarian mathematician Paul Erdős, is a way of describing the "collaborative distance" between a person [2]
See also
References
External links
- Home page
- 2001 Conant Prize, an article in the Bulletin of the AMS, vol 48:4 (2001), 418-419. In Number theory, a Carmichael number is a composite positive Integer n which satisfies the Congruence b^{n-1}~\equiv 1 \pmod{n} The Mathematics Genealogy Project is a web-based Database that gives an Academic genealogy based on Dissertation supervision relations Bulletin of the American Mathematical Society (often abbreviated as Bull
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