152 THEOR. CIRCA DIVISORES. NFMER. cet. 



Theorema 6. 



Niillus niimcrub huiiis torniAC aa-\-^bb dividi potcft 

 pcr vUum numcrum huius Sw— i vcl huius 8;/; — 3 

 formae. 



Thcorema /. 



Numerorum in hac forma aa-\-:^bb contcntomm diui- 

 forcs primi omucs funt vcl 2 vcl 3 , vel in vn:i hirum 

 formuhrum i2;/;-hi , i2;/;-h7 contcnti. 



Thcorema 8. 



Omncs numcri primi in :iltcrutni h.irum f()rmul:irum ti 

 , m-f-i , vcl i2//;-h7 ''1'^ i" li^^c vn:i 6m-\-i con- 

 tcnti fimul funt numcri huius fnimc aa~\-2bb. 



Theorema 9. 



NuUus numcrus fiuc huius iztfi—i fiuc huius 12 w — 7 

 formuhc , hoc c(l nullus numcms huius <I)rm:ic 6m—i 

 ell diuifor vUiu? numcri in h;K form;i aa-\-^bb con- 

 teati. 



Thcorcma lo. 



Numcrorum in h:ic fnrma aa~\-sbb contcntonim diui- 

 lorcb piimi omncs fuut vcl 2 , vcl 5 vcl in vna h.uum 

 4 f)rm.irum iom-\-\ , 20w-i-3 > iow-|-7 , -ow* 

 -\- 9 coutcnti. 



Thcorcma ii. 



Si fucrint numcri aow-f-i, 2o;//-j-3 , ao;/;-i-9,20 

 W-t-7 primi , tum crit vt (cquitur 

 i.om-\- i ~ a a -\- s b b \ 2 (sow-f 3 ) — aa-\-sbb 

 z.om-\-9 — aa-\-sbb:, 2(20^-1-7)" aa-\-$bh 



Thco- 



