[I .-, 



6 L. EULERI OPERA POSTHUMA. Artthmettca. 



39. Post numeros compositos, duobus factoribus primis constantes, considerandi veniunt ii, qui 

 tribus factoribus primis constant, cujus ergo speciei forma est pgr, denotantibus />, g, r numeros 

 primos quoscunque. 



40. Tum vero sequentur numeri compositi, qui sunt producta ex quaternis numeris primis, 

 quorum forma erit pqrs. Sequentes autem species erunt producta vel ex quinis, vel senis, vel 

 septenis etc. numeris primis constantia. rri'» Uv^ Vi' 



4^1. Hinc omnes numeri ita in classes distribuentur , ut prima contineat omnes numeros primos 

 singulos; secunda, producta ex binis primis; tertia, producta ex ternis primis; quarta, ex quaternis; 

 quinta, ex quinis, et ita porro. 



k2. Post unitatem ergo numeri primae classis, seu primi centenario non majores sunt: 

 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, ki, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. 



43. Numeri vero secundae classis centenario minores sunt 



2. 2= 4, 3. 3= 9, 5. 5 = 25, 7. 7 = 49, 



2. 3= 6, 3. 5 = 15, 5. 7 = 35, 7.11 = 77, 



' 2. 5 = 10, 3. 7 = 21, 5.11 = 55, 7.13 = 91. 



2.7=14, 3.11 = 33, 5.13 = 65, 



2.11=22, 3.13 = 39, 5.17 = 85, 



2.13i=26, 3.17 = 51, 5.19 = 95, 



2.17 = 34, 3.19 = 57, 



2.19 = 38, 3.23 = 69, / 



2.23=46, 3.29 = 87, 



2.29 = 58, 3.31=93, 

 2.31=62, 

 2.37 = 74, 

 2.41 = 82, 

 2.43 = 86, 

 2.47 = 94, 



44. Tum vero numeri tertiae classis centenario inferiores sunt 

 2.2. 2= 8, 2.3. 3=18, 3.3. 3=27, 

 2.2. 3 = 12, 2.3. 5 = 30, 3.3. 5 = 45, 

 2.2. 5 = 20, 2.'3. 7 = 42, 3.3. 7 = 63> 

 2.2. 7 = 28, 2.3.11 =66, 3.3.11=99, 

 2.2.11=44, 2.3.13 = 78, 



2.2.13 = 52, 3.5. 5 = 75. 



2.2.17 = 68, ^-^- 5 = 50, 



2.2.19 = 76, 2-5. 7 = 70, 



2.2.23 = 92, 2.7. 7 = 98, 



