- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Undergraduate Research /
- Prime generating Lucas sequences
Open Collections
UBC Undergraduate Research
Prime generating Lucas sequences Liu, Paul; Estrin, Ron
Abstract
The distribution of prime numbers in Lucas sequences was investigated by independently changing the initial values and the multiplicative constants in the recursive definition of the sequence. The prime distribution was obtained by counting the number of primes in the first 1000 terms of various Lucas sequences. It was found that both smaller seeds and smaller multipliers produced more primes on average than if the seeds and multipliers were large. It was also determined that changing the initial seeds produced more primes and more variation in prime counts than changing the multipliers.
Item Metadata
Title |
Prime generating Lucas sequences
|
Creator | |
Date Issued |
2011-04
|
Description |
The distribution of prime numbers in Lucas sequences was investigated by independently changing the initial values and the multiplicative constants in the recursive definition of the sequence. The prime
distribution was obtained by counting the number of primes in the first 1000 terms of various Lucas sequences. It was found that both smaller seeds and smaller multipliers produced more primes on average
than if the seeds and multipliers were large. It was also determined that changing the initial seeds produced
more primes and more variation in prime counts than changing the multipliers.
|
Genre | |
Type | |
Language |
eng
|
Series | |
Date Available |
2011-06-07
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0107231
|
URI | |
Affiliation | |
Campus | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Undergraduate
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International