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One of the factors of the number A+B-C is a fraction proper. Journal of Electrical Electronics Engineering ISSN: 2834-4928 40170 Mesos, France Theorem In a prime base n > 2 and reciprocals prime (coprime) numbers A, B, C, not multiples of n (basic case), the equality • An + Bn - Cn = 0 impossible.
Victor Sorokine (Tue,) studied this question.