On the solvability of the equation and its application

Authors:
Qi Sun and Da Qing Wan

Journal:
Proc. Amer. Math. Soc. **100** (1987), 220-224

MSC:
Primary 11D04

MathSciNet review:
884454

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Abstract: In this paper, we obtain a necessary and sufficient condition under which the equation of the title is unsolvable. More precisely, for the equation

1. For some , or

2. If is the set of all even integers among , then are pairwise prime, and is prime to any odd number in .

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DOI:
https://doi.org/10.1090/S0002-9939-1987-0884454-6

Article copyright:
© Copyright 1987
American Mathematical Society