Preprint Open Access

Parity Properties of Equations, Related to Fermat Last Theorem

Shestopaloff Yu. K.

An elementary proof of Fermat Last Theorem (FLT) on the basis of binomial expansions and parity considerations is proposed. FLT was formulated by Fermat in 1637, and proved by A. Wiles in 1995. Here, a simpler approach is studied. The initial equation x^n + y^n = z^n is considered in integer numbers and subdivided into several equations based on the parity of terms and their powers. Then, each equation is studied separately, using methods suitable for it. Proving FLT means to prove that each such sub-equation has no solution in integer numbers. Once this is accomplished, it would mean that the original FLT equation has no solution in natural numbers.

Files (567.8 kB)
Name Size
BinomExpanFLT_14_3.pdf
md5:2996bad6cd354435c8624a8b8a52099f
116.8 kB Download
BinomExpanFLT_14zen.pdf
md5:093d88874f1e673c8af62e26b5d648b2
113.3 kB Download
BinomExpanFLT_15z.pdf
md5:38bdf9c7465d6d393103c23d0c776108
105.7 kB Download
BinomExpanFLT_17z.pdf
md5:e44cfbbe6fa9696b9f31795b111ee32c
116.1 kB Download
BinomExpanFLT_18z.pdf
md5:dc68975599cc532e2f10b632781d4b99
116.0 kB Download
62
75
views
downloads
All versions This version
Views 622
Downloads 752
Data volume 8.6 MB233.6 kB
Unique views 462
Unique downloads 442

Share

Cite as