jDE NVMEKIS PERFECTIS, ^t 



§. 6. Talcs vt euitentur fcopuli , foUicite attenden- 

 dum e(l ad methodum numeros inueniendi perfedos qua- 

 lis extat (3^. prop. ix.) 



I. A 2. B4. C 8. D i^. 



E31. G62. H 124. L 248. F 495. 

 „ Si ab vnitate quotcunque numeri A , B , C , D , 

 „ deinceps exponantur in dupla proportione quoad 

 ■ „ totus compofitus E , fiar primus er totus hic E , 

 „ in vkimum D , multiplicatus , fiitiat aliquem F , 

 „ fiidus F , erit perfedus. 



§.7. His docet Euclides : non onines numeros im- 

 pares , per additioncm terminorum poteftatis binarii , ad- 

 ieda vnitate , conflatos , quales funt 



3. I-f-2 



^ 7. I -1-2 -f- 4 



•■15. i-|-2_i-4-j-8 

 3 1 . I -4- 2H-4-j-8-f-i5 



*<J3. i-|-2-f-4-}-8-f-i(J-f-32 



1 27. I -h 2 4- 4 H- 8 H- 16 -I- 3 2 -4- ^S'^ 

 *255. i_4_2_f-4_f-8-i-i5-|-32-}-<J4-|-i28 

 *5ii. I -1-2 -1-4 -1-8 -f- i<5 -1-32 -|-<5"4-f- 128 -1-2 5(f 



* 1023. i4 2-f-4-4-8-|- i<J -H 3 2 -h 64-1- 128-1-2554- 5 12 



• 2047. 1+24-4-4- 8-1- 15-1-32-1-54-1-128,-^-2504-5124-1024 



pro numeris primis habendos , (ed potius per diuifionem 

 per omnes numeros prinios , minores numero propolito;, 

 examinandos efle , antequam conftet , primine fint an 

 compofiti. SuppediLiruQt hunc in finem catalogos nume- 



rorum 



