The Solution of Fermat’s Two Squares Equation and Its Generalization In Lucas Sequences
Baghdad Science Journal, ISSN: 2411-7986, Vol: 21, Issue: 6, Page: 2079-2092
2024
- 1Citations
- 7Usage
Metric Options: Counts1 Year3 YearSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Citations1
- Citation Indexes1
- CrossRef1
- Usage7
- Downloads5
- Abstract Views2
Article Description
As it is well known, there are an infinite number of primes in special forms such as Fermat's two squares form, p=x^2+y^2 or its generalization, p=x^2+y^4, where the unknowns x, y, and p represent integers. The main goal of this paper is to see if these forms still have an infinite number of solutions when the unknowns are derived from sequences with an infinite number of prime numbers in their terms. This paper focuses on the solutions to these forms where the unknowns represent terms in certain binary linear recurrence sequences known as the Lucas sequences of the first and second types.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85196079027&origin=inward; http://dx.doi.org/10.21123/bsj.2023.8786; https://bsj.uobaghdad.edu.iq/home/vol21/iss6/21; https://bsj.uobaghdad.edu.iq/cgi/viewcontent.cgi?article=1909&context=home; https://bsj.researchcommons.org/home/vol21/iss6/21; https://bsj.researchcommons.org/cgi/viewcontent.cgi?article=1909&context=home; https://dx.doi.org/10.21123/bsj.2023.8786; https://www.bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8786
College of Science for Women, University of Baghdad
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know