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A MILLION-DOLLAR PROOF AARON ABRAMS
 

Summary: A MILLION-DOLLAR PROOF
AARON ABRAMS
I came up with the main theorem of this paper during the summer of 1992 while I
was an undergraduate student at Joe Gallian's REU at the University of Minnesota,
Duluth. Until recently, I neither shared it with anyone nor fully appreciated its
value. But now Fermat's Last Theorem has a proof, and it seems like the PoincarŽe
Conjecture does too, and with ever more attention directed toward problems like
these, I thought I'd better get this in print.
Here is the theorem:
Theorem 1. N = 1.
The proof is based on what I thought at the time was a surprising observation,
namely the following identity:
(1)

N=0
1
2N
=

N=0

  

Source: Abrams, Aaron - Department of Mathematics and Computer Science, Emory University

 

Collections: Mathematics