The 10.1.2 equation
(1)
|
is a special case of Fermat's last theorem with , and so has no solution. No solutions are known with . A 10.1.13 solution is
(2)
|
(S. Chase). The smallest 10.1.15 solution is
(3)
|
(J.-C. Meyrignac 1999). The smallest 10.1.22 solution is
(4)
|
(Ekl 1998). The smallest 10.1.23 solution is
(5)
|
(Lander et al. 1967).
10.2.12 solutions include
(6)
| |
(7)
|
(V. Pliousnine 2000, N. Kuosa 2000). The smallest 10.2.13 solution is
(8)
|
The smallest 10.2.15 solution is
(9)
|
(Ekl 1998). The smallest 10.2.19 solution is
(10)
|
(Lander et al. 1967). A 10.3.11 solution is
(11)
|
(J. Wroblewski 2002). A 10.3.12 solution is
(12)
|
(T. Nolan 2000). The smallest 10.3.13 solution is
(13)
|
The smallest 10.3.14 solution is
(14)
|
(Ekl 1998). The smallest 10.3.24 solution is
(15)
|
(Lander et al. 1967).
A 10.4.9 solution is
(16)
|
(J. Wroblewski 2002). 10.4.10 solutions include
(17)
| |
(18)
| |
(19)
| |
(20)
| |
(21)
| |
(22)
| |
(23)
| |
(24)
| |
(25)
| |
(26)
| |
(27)
| |
(28)
| |
(29)
| |
(30)
| |
(31)
| |
(32)
| |
(33)
| |
(34)
| |
(35)
| |
(36)
| |
(37)
| |
(38)
| |
(39)
| |
(40)
| |
(41)
| |
(42)
| |
(43)
| |
(44)
| |
(45)
| |
(46)
| |
(47)
| |
(48)
|
(J. Wroblewski 2002). A 10.4.11 solution is
(49)
|
(S. Chase). The 10.4.12 equation has solution
(50)
|
(E. Bainville 1999). The smallest 10.4.15 solution is
(51)
|
(Ekl 1998). The smallest 10.4.23 solution is
(52)
|
(Lander et al. 1967).
The smallest 10.5.16 solutions are
(53)
| |
(54)
|
(Lander et al. 1967, Ekl 1998).
The smallest 10.6.6 solution is
(55)
|
The smallest 10.6.16 solution is
(56)
|
(Ekl 1998). The smallest 10.6.27 solution is
(57)
|
(Lander et al. 1967).
The smallest 10.7.7 solutions are
(58)
| |
(59)
| |
(60)
| |
(61)
|
(Lander et al. 1967, Ekl 1998).