Authors and affiliations
J. V. Leyendekkers
The University of Sydney, 2006 Australia
A. G. Shannon
Warrane College, University of New South Wales
Kensington, 1465 Australia
Primes were separated according to the right-end-digits (REDs) and classes in the modular ring Z6. The primes are given by jR, where j is the number of consecutive integers with RED = R (for p = 37, R = 7 and j = 3, and so on). The rows of j, in classes ̅26, ̅46 ⊂ Z6, that contain primes, are found to have the form ½n(an ± 1), a = 1, 3, 5. A total of 499 primes were generated for n = 1 to 80 for RED = 7. Similar results apply to REDs 1, 3 and 9. A scalar characteristic was detected in the row structure of j.
- Modular ring
- Triangular numbers
- Pentagonal numbers
- Calinger, Ronald. Classics of Mathematics. New Jersey: Prentice-Hall, 1995.
- Leyendekkers, J.V., A.G. Shannon, J. Rybak. Pattern Recognition: Modular Rings and Integer Structure. North Sydney: Raffles KvB Monograph No 9. 2007.
- Leyendekkers, J.V., A.G. Shannon, C.K. Wong. Integer Structure Analysis of the Product of Adjacent Integers and Euler’s Extension of Fermat’s Last Theorem. Advanced Studies in Contemporary Mathematics 17,2 (2008): 221-229.
- Sloane, N.J.A., Simon Plouffe. The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.
- Leyendekkers, J. V., & Shannon, A. G. (2009). The integer structure of the difference of two odd-powered odd integers. Notes on Number Theory and Discrete Mathematics, 15(3), 14-20.
Cite this paper
Leyendekkers, J. V., & Shannon, A. G. (2008). Analysis of primes using right-end-digits and integer structure. Notes on Number Theory and Discrete Mathematics, 14(3), 1-10.