- 24 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
A new perspective on the determination of the prime numbers
About this book
Academic Paper from the year 2023 in the subject Mathematics - Number Theory, grade: 2.00, , language: English, abstract: A procedure is developed for determining the primality of a number, N, but does not examine the number, rather a function of that number.
The function has several properties, by means of which many of the non-primes may be identified and discarded without further investigation.
Using the concept of cage numbers (defined in the text) a matrix of all of the counting numbers is produced, where, with the exception of the prime numbers 2 and 3, all of the prime numbers are embedded in one column of the matrix. Strings of consecutive numbers are extracted from the matrix, and it is seen that the only places within the whole of the range of the counting numbers where prime numbers can exist is at the positions of the second and penultimate numbers within a string
By means of the function of N, all of the odd numbers may be generated and examined for primality.
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Yes, you can access A new perspective on the determination of the prime numbers by William Fidler in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over 1.5 million books available in our catalogue for you to explore.