Number Theory

    

Fermat's Last Theorem as a Consequence of the Theorem on Second Digits of Degree N

Authors: Victor Sorokine

In a base number system with prime base n>2 and natural numbers A, B, C [with last digits a, b, c, where a>0 and b>0] the equality A^n+B^n-C^n=0 is impossible.In each of the sets V and W, respectively, of the numbers d^n (d=1, u2026, n-1) and (ad)^n+(bd)^n-(cd)^n [where a, b, c are single-valued, a+b-c=0 (mod n), a>0 and b>0] with equal sums S of all n-1 two-digit endings of numbers in V and W [with the ending of S equal to 00] are numbers with the second (from the end) digits not equal to zero.Otherwise, the second digit in the number S is not 0 (see the arithmetic progression formula).

Comments: 2 Pages.

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Submission history

[v1] 2022-11-05 05:34:32

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