%0 Journal Article %T Congruence and Uniqueness of Certain Markoff Numbers %A Ying Zhang %J Mathematics %D 2006 %I arXiv %R 10.4064/aa128-3-7 %X 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. %U http://arxiv.org/abs/math/0612620v2