Statistical Analysis and Distribution of Fermat Pseudoprimes Within the Given Interval
Journal Title: International Journal of Experimental Research and Review - Year 2024, Vol 44, Issue 8
Abstract
Prime numbers are natural numbers that can only be divided by one and the original number. There is more than one of them. Error-correcting codes used in telecommunications are generated using prime numbers. They guarantee automatic message correction both during transmission and reception. Algorithms used in public-key cryptography are built upon primes. They're also employed in the production of pseudorandom numbers. Mathematicians and many other scientific and technological communities have always been fascinated by prime numbers. Additionally, computer engineers can use it to tackle a wide range of real-world problems. The analysis of prime numbers is very important for finding their applications in different fields. The statistical analysis of pseudoprimes within a given interval is carried out in the presented paper and an algorithm of Python program to find the distribution of pseudoprimes has also been generated, which is used to find their distribution with different bases within the given intervals. The data analysis process made use of graphical depiction. The discovery will surely open up new avenues for future number theory study and applications outside of mathematics.
Authors and Affiliations
Bhawana Fulara. Arvind Bhatt, Deepak Kumar Sharma, Shubham Agarwal, Geeta Mathpal, Rajesh Mathpal
Keywords
Related Articles
- EP ID EP750729
- DOI 10.52756/ijerr.2024.v44spl.010
- Views 18
- Downloads 0
Biochemical profile of Cashew nut
Cashew is a kidney-shaped nut that commercially grows on a tropical evergreen tree. In recent times, the commercial importance of cashew nut and apple in terms of human health is gaining great momentum. The kernels of 75...
Edible insects – history, characteristics, benefits, risks and future prospects for use
The growing global food crisis and the changing climatic and agro-ecological conditions on the planet are predominant, serious, and growing issues that require Global attention. Insecurity caused by the lack of food can...
Oligothiophenes: Synthesis and Optoelectronic Properties
Oligothiophenes give a magnificent opportunity to explore its different synthesis and uses as in optoelectrical devices nowadays. In contrast, oligothiophenes afford higher purity and easy modification with several funct...
Formulation and Drug Release Study of Rivaroxaban Oral Disintegrating Tablets Using Various Super-Disintegrants
This study aims to improve Rivaroxaban's solubility, dissolution, and bioavailability. Orally disintegrating tablets (ODTs) made with super-disintegrants like crospovidone, sodium starch glycolate, and cross-carmellose s...
Validation of the Teachers AI-TPACK Scale for the Indian Educational Setting
Educators work in extremely dynamic and complex classroom environments where they must continuously alter and update their understanding. Specifically, possession of rich, organised, and integrated knowledge from various...