The Fibonacci Numbers and the Arctic Ocean.- Representation of Real Numbers by Means of Fibonacci Numbers.- Prime Number Records.- Selling Primes.- Euler’s Famous Prime Generating Polynomial and the Class Number of Imaginary Quadratic Fields.- Gauss and the Class Number Problem.- Consecutive Powers.- 1093.- Powerless Facing Powers.- What Kind of Number Is $$ sqrt 2 ^{sqrt 2 } $$ ?.- Galimatias Arithmeticae.
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“The exposition is relaxed, with plenty of numerical examples,
conjectures and other asides. Technicalities are largely avoided,
so that a beginning graduate student could read and enjoy this
without preparation.” (D.R.Heath-Brown, zbMATH 0947.11001,
2022)
From the reviews: MATHEMATICAL REVIEWS "…the author is extremely
knowledgeable in his subjects and the reader can profit from the
wealth of material contained in this book. Therefore this book is a
welcome reference for anyone interested both in trivia and in
serious background material about popular topics in elementary
number theory."
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