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On Prime Generation Through Primitive Divisors Of Recurrence Sequences
Abstract
dc:description.abstractWe examine results concerning the generation of primes in certain types of integer sequences. The sequences discussed all have a connection in that each satisfies a recurrence relation. Mathematicians have speculated over many centuries that these sequences contain an infinite number of prime terms, however no proof has been given as such. We examine a less direct method of showing an infinitude of primes in each sequence by showing that the sequences contain an infinite number of terms with primitive divisors.
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Russell, Richard
- Contributors dc:contributor
-
- Mohapatra, Ram N.
Subjects
dc:subject × 6Rights
- Language dc:language
- English
Identifiers
dc:identifier.*- Identifier
- CFE0001013
- OAI identifier oai:identifier
- oai:stars.library.ucf.edu:etd-1878