Limit points of the sequence of normalized prime gaps
Document Type
Lecture
Publication Date
4-28-2014
Abstract
Let pn denote the nth smallest prime number, and let L denote the set of limit points of the sequence of normalized differences between consecutive primes. We show that for k = 50 and for any sequence of k nonnegative real numbers β1 < β2 < … < βk, at least one of the numbers βj – βi belongs to L. It follows that more than 2% of all nonnegative real numbers belong to L.
Relational Format
presentation
Recommended Citation
Freiberg, Tristan, "Limit points of the sequence of normalized prime gaps" (2014). Algebra/Number Theory Seminar. 38.
https://egrove.olemiss.edu/math_algebra_number_theory/38
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