IJPAM: Volume 90, No. 3 (2014)
CONSECUTIVE FIBONACCI NUMBERS
Department of Mathematics, Faculty of Science
Ratchamankanai Rd, Nakornpathom, 73000, THAILAND
Abstract. Let be the th Fibonacci number. The period modulo , denoted by , is the smallest positive integer for which for all . In this paper, we find the period modulo product of consecutive Fibonacci numbers. For instance, we prove that, for ,
Received: September 5, 2013
AMS Subject Classification: 11B39
Key Words and Phrases: Fibonacci sequence, divisibility, Fibonacci entry point, the period modulo
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DOI: 10.12732/ijpam.v90i3.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395