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The Beal Conjecture:
A Proof and Counterexamples
Charles William Johnson
The conjecture Ax + By = Cz
made by Mr. Andrew Beal is concerned with the common prime factor for
positive integers and their exponents. "If , ax + by =
cz, where A,B,C, x, y and z, are positive integers x, y and z are
all greater than 2, then A, B and C must have a common prime factor." [Mauldin,
1997] This represents the original wording of the Beal Conjecture. The Beal
Conjecture requires positive integers in the terms [A, B, C] and exponents [x,
y, z] of the equation (the latter whose value must be greater than 2). The products
of the terms must reflect the selfsame multiplication of the terms in whole
numbers or positive integers. Obviously, no fractional expressions are to appear
in any of the three terms or three exponents of the equation. And, the most
significant part of the conjecture affirms the necessity that the terms share
a common prime divisor. Or, to the contrary, present counterexamples.
THE GOLDBACH CONJECTURE AND THE UNIVERSE OF PRIMES |
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Book:
THE GOLDBACH CONJECTURE AND THE UNIVERSE OF PRIMES
The Goldbach Conjecture and the Universe of Primes examines the even-sum
tables of the natural numbers and prime numbers in proving the conjecture.
The explanation of the inner workings of the Goldbach conjecture are rendered
into simple math. Knowing how to add is all that is required. Profusely
illustrated with easy-to-read math tables explaining how the sum of primes
perform in relation to the conjecture.
The author examines the Goldbach Conjecture, a 262 year-old conjecture.
It is impossible to prove the Goldbach Conjecture in the manner in which
the theorists of mathematics have been demanding. Instead of a resolution
based on algebra, an explanation of the Goldbach Conjecture based on the
numbers is required. In fact, this may be a simpler task than imagined
until now.
Purchase and download this Earth/matriX eBook
The Goldbach Conjecture and the Universe of Primes
Author: Charles William Johnson
Price $8.64 US |
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Earth/matriX Editions
Earth/matriX: Science in Ancient Artwork and Science Today
April 2003
The Beal Conjecture Essay
© 2003-2015 Copyrighted by Charles William Johnson.
ISSN-1526-3312
www.earthmatrix.com
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