(55) 



,+) 



»+,=) 



,+,9,5.1) 



. 4,9, 3, 12,10) 



,+,9,16,8,2,15,13) 

 ,4,9,16,6,17,11,7,5) 



,4_,9,i6,2,i3,3,i8,i:i,8,6) 



,4,9, 16,25,7,20,6,23, 13, 5,28, 2+,i2> 



,4,9,16,25,5,18,2,19,7,-8,20,14,10,8) 



,4,9,16,25,36,12,27,7,26,10,33,21,11,3,34,30,28) 



,4,9,16,25,36,8,23,40,18,39,21,5,32,20,10,2,37,33,31) 



,4,9,1 6,25, 36,6, 2 1,3 8,1 4,35, i5,+o,24,i 0,41, 3 1,23, 17,1 3, 11) 



)+i9,i<5,25,36,2,X7,34,6,27,3,28,8,37j2i,754--)32,2+,i 8,14,1 2) 



CoroIIarium. 



§.14. Si ergo n fiicrit numerus ncgatuiu?, put.i«r-w, 

 fumto X negatiuo crit ;;/ — XP-l-d', quae forma cum conti- 

 neat omnc!> numcros quadratos, quicunquc numerus primus 

 pro P accipiatur; patet, fi fucrft w numerus quadratus, fciii- 

 cct mz:z.k\ numeros formae xx — kkyy per omncs phme 

 rumcros primos diuifibilcs cxfiftcrc poffc, quo ergo- cafii 

 nulli niimcri primi excluduntur, id quod pcr fc cll manife- 

 ftum, quoniam formula xx — k kyj in gcnerc ficlores Iiabct 

 x-\-ky ct .V — ky^ quorum vtcrquc pcr omncs numeros pri- 

 mos diuifibilis reddi potcft, id quod nullo alio cafu ficri licet» 



Scholion 2. 



§> 15. Qucmadmodum rcfpedn cuiusufs numcrf pri- 

 mi P omncs numeri ia duas daflcs dillinguuntiur, quarum al- 



tcra 



