Department of Mathematics
Mathematics Colloquium - Spring 2011
Tuesday, March 22nd, 2011
3:30pm - 4:30pm, in Science 2-SSC SSC Conference Room
3:30pm - 4:30pm, in Science 2-SSC SSC Conference Room
David Feldman
University of New HampshireDickson's conjecture and infinite multidimensional sum-sets within the primes
Abstract:
The famous Twin Prime Conjecture admits a variety of generalizations that vary according to their ambition and precision. We show that a comparatively modest one of these, namely Dickson's conjecture, has the following consequence: For any n>0 there exists a prime p and infinite sets of even numbers E_1,...,E_n such that the sumset {p}+E_1+...+E_n consists entirely of primes.
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Department of Mathematics University of Massachusetts Boston Phone: 617-287-6460; Fax: 617-287-6433 Information: math@umb.edu |
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