The 9.1.2 equation
(1)
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is a special case of Fermat's last theorem with , and so has no solution. No 9.1.3, 9.1.4, 9.1.5, 9.1.6, 9.1.7, 9.1.8, or 9.1.9 solutions are known. A 9.1.10 solution is
(2)
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(J. Wroblewski 2002), and two 9.1.11 solutions are given by
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(4)
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(5)
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(6)
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(S. Chase; Aloril 2002). The smallest 9.1.12 solution is
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(Meyrignac 1997). No 9.1.13 solution is known. The smallest 9.1.14 solution is
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(Ekl 1998).
No 9.2.2, 9.2.3, 9.2.4,. 9.2.5, 9.2.6, 9.2.7, or 9.2.8 solutions are known. 9.2.9 solutions include
(9)
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(10)
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(11)
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(12)
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(J. Wroblewski 2002). A 9.2.10 solution is given by
(13)
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(L. Morelli 1999). No 9.2.11 solutions are known. The smallest 9.2.12 solution is
(14)
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(Lander et al. 1967, Ekl 1998). There are no known 9.2.13 or 9.2.14 solutions. The smallest 9.2.15 solution is
(15)
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(Lander et al. 1967).
There are no known 9.3.3, 9.3.4, 9.3.5, 9.3.6, 9.3.7, or 9.3.8 solutions. The smallest 9.3.9 solution is
(16)
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(Ekl 1998). There is no known 9.3.10 solution. The smallest 9.3.11 solution is
(17)
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(Lander et al. 1967).
No 9.4.4 or 9.4.5 solutions are known. The smallest 9.4.6 solution is
(18)
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There are no known 9.4.7 or 9.4.8 solutions. The smallest 9.4.9 solution is
(19)
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(Ekl 1998). The smallest 9.4.10 solutions are
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(Lander et al. 1967).
The smallest 9.5.5 solution is
(21)
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There is no known 9.5.6 solution. The smallest 9.5.7 solution is
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(Ekl 1998). There are no known 9.5.8, 9.5.9, or 9.5.10 solutions. The smallest 9.5.11 solution is
(23)
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(Lander et al. 1967).
The smallest 9.6.6 solutions are
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(25)
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(26)
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(27)
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(28)
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(29)
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(30)
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(Lander et al. 1967, Ekl 1998).
Ekl (1998) mentions but does not list nine primitive solutions to the 9.7.7 equation.
Moessner (1947) gives a parametric solution to the 9.10.10 equation.
Palamá (1953) gave a solution to the 9.11.11 equation.
Moessner and Gloden (1944) give the 9.11.12 solution
(31)
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