Mathematics – Number Theory
Scientific paper
2006-12-20
Acta Arithmetica 128 (2007), no. 3, 295-301.
Mathematics
Number Theory
6 pages. In version 2: typos corrected, sections 3 and 4 combined as the new section 3
Scientific paper
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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