A Prime-Representing Constant
- Published in 2020
- Added on
In the collections
We present a constant and a recursive relation to define a sequence fn such that the floor of fn is the nth prime. Therefore, this constant generates the complete sequence of primes. We also show this constant is irrational and consider other sequences that can be generated using the same method.
Links
Other information
- key
- APrimeRepresentingConstant
- type
- article
- date_added
- 2020-11-06
- date_published
- 2020-03-26
BibTeX entry
@article{APrimeRepresentingConstant, key = {APrimeRepresentingConstant}, type = {article}, title = {A Prime-Representing Constant}, author = {Dylan Fridman and Juli Garbulsky and Bruno Glecer and James Grime and Massi Tron Florentin}, abstract = {We present a constant and a recursive relation to define a sequence {\$}f{\_}n{\$} such that the floor of {\$}f{\_}n{\$} is the {\$}n{\$}th prime. Therefore, this constant generates the complete sequence of primes. We also show this constant is irrational and consider other sequences that can be generated using the same method.}, comment = {}, date_added = {2020-11-06}, date_published = {2020-03-26}, urls = {http://arxiv.org/abs/2010.15882v1,http://arxiv.org/pdf/2010.15882v1}, collections = {easily-explained,fun-maths-facts,integerology}, url = {http://arxiv.org/abs/2010.15882v1 http://arxiv.org/pdf/2010.15882v1}, year = 2020, urldate = {2020-11-06}, archivePrefix = {arXiv}, eprint = {2010.15882}, primaryClass = {math.NT} }