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arxiv: math/0612620 · v2 · pith:UAEOEE5Dnew · submitted 2006-12-20 · 🧮 math.NT

Congruence and Uniqueness of Certain Markoff Numbers

classification 🧮 math.NT
keywords markoffpowerprimecongruencenumberstimesuniquenessbaragar
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By making use of only simple facts about congruence, we first show that every even Markoff number is congruent to 2 modulo 32, and then, generalizing an earlier result of Baragar, establish the uniqueness for those Markoff numbers c where one of 3c - 2 and 3c + 2 is a prime power, 4 times a prime power, or 8 times a prime power.

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