Perfect Numbers And Fibonacci Sequences
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A01=Tianxin Cai
ABCD Equation
Author_Tianxin Cai
Category=PBH
Congruence
Diophantine Array
Elliptic Curve
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fermat Prime
Fibonacci Sequence
Generating Function
GM Number
Golden Ratio Conjecture
Lucas Sequence
Mersenne Prime
Narayana Sequences
Ore Number
Perfect Number
Pisano Cycle
Square Perfect Number
Twin Prime Conjecture
Vajda Identity
Zeckendorf Theorem
Product details
- ISBN 9789811244070
- Publication Date: 11 Aug 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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In this book, we first review the history and current situation of the perfect number problem, including the origin story of the Mersenne primes, and then consider the history and current situation of the Fibonacci sequence. Both topics include results from our own research. In the later sections, we define the square sum perfect numbers, and describe for the first time the secret relationships connecting the square sum perfect numbers, the Fibonacci sequence, the Lucas sequence, the twin prime conjecture, and the Fermat primes. Throughout, we raise various interesting questions and conjectures.
