ANDRÉ GÉRARDIX, — RÉSOLUTION DE X' — y' — Z' = W — i>' -\- w'' , 53 



\ = 14076248 = >3x 487 X 36i3, 

 N = 'o*— 49^—7 X 33>= 5qi— 7 X 23-. 



./'=3. 



20; 



\ = 7892493-201. 

 N = 66*H- 225i— 540 X 56*=29i»— 540 x 34*. 



/— 3, ^ = iG : 



N =1 19, 833 = 35 X 44179. 

 N = i3*— iB*— 27 X \ l*= 33*— 27 X 4*. 



'^- /i = 2p^, m = 4; 



= [32/3 -{-/^2 |v_ 2/3 ^o.[i6y^_ 6y^_^2j* 



lo- /< = 4^î, /;z = 2: 



[^/'-2/?^?-^[3/^^]*-4/^"[4y^-+3/^-.^î]* 

 = [8/3-;-/^î]*_4/4^[4/._3/^_^2]4. 



'6- /' = ^p^, /" = I : 



= [4/-'-2/^^]--8/-\^[2/î-3/--2^îJ*. 



Exemples. /=i. ^=3: 



> = 9609236 = 2»x 3r X 38 747, 

 N = Sa*— 5;*— 24 X 7*= 22*— 24 X 25*. 



/=2, ^^=3: 

 ^ = 544 Ji 3 premier, 



y = 10*— ?7*-^ 12 X 4'= 17*— 12 X 14*. 



N = 169414630 = 63 X 784327 i premier), 

 ^ = i8*-i-96*-r- 216 X 23*= 114* — 216 X 7*. 



/=i, ^=5: 



N = 7884216 = 23x 1217 X 3*, 

 N = 32*— 5o* — 40 X II* = 1 8*— 40 X 21*. 



/ = 5, ^ = I : 

 N = 849SJ1000 = lo^x 19 X 44 7 29, 



X = 10*— 160* 



1000 X 21» = I-0*-7- 1000 XII- 



