A Few Equivalences of Wall-Sun-Sun Prime Conjecture
Arpan Saha, C S Karthik
TL;DR
This paper explores the Wall-Sun-Sun Prime Conjecture by proving lemmas related to Fibonacci numbers modulo primes, establishing equivalences, and proposing new conjectures for future investigation.
Contribution
It introduces new lemmas and equivalences related to the conjecture, along with heuristic analysis and additional conjectures for further research.
Findings
Identified several lemmas related to Fibonacci numbers modulo primes
Established new statements equivalent to the Wall-Sun-Sun Prime Conjecture
Proposed additional conjectures for future exploration
Abstract
In this paper, we prove a few lemmas concerning Fibonacci numbers modulo primes and provide a few statements that are equivalent to Wall-Sun-Sun Prime Conjecture. Further, we investigate the conjecture through heuristic arguments and propose a few additional conjectures for future research.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Analytic Number Theory Research · Coding theory and cryptography