l -St*r3 
98 
THEORIA RESIDUORUM BIQUADRATICORUM. 
Kc 
A, quoties 6 
B, quoties 6 = « 
C, quoties a — 0 
D, quoties 6 = 4« 
Manifestum est, has regulas complecti casus omnes, quum pro 6 = 2«, vel 
b eee 3« (mod. 5), . fieret ««-f-66 = 0, Q.E. A., quum per hypothesin p sit nu 
merus primus a 5 diversus. 
y 
27. 
Perinde inductio ad numeros —7, —11, —f-1 3, —j—17, 
cata satisque producta sequentes regulas indigitat: 
Pro numero —7. 
« = 0, vel 6 = 0 (mod. 7) 
b = 4 a, vel b = 5 a 
b = a, vel b = 6 a 
h = 2 a, vel 6 = 3 a 
Pro numero —11. 
b = 0, 5 a, vel 6 a (mod. 11) 
b = a, 2>a vel 4 a 
a= 0, vel b = 2a vel 9 a 
b = 1 a, 8 a vel 10« 
Pro numero 
b = 0, 4a, 9« (mod. 13) 
6 = 6«, 11«, 12« 
« = 0 ; 6=3«, 10« 
6 = «, 2«, 7 « 
Pro numero —j— 17. 
« = 0; 6 = 0, «, 16« (mod. 17) 
6 = 2«, 6«, 8«, 14« 
6 = 5«, 7«, 10«, 12« 
6 = 3«, 9«, 11«, 15« 
19, — 23 appli-