pl 



met fumendo p = i2, s~^5 et (/ = 13» fietque N= r Jl± 



169 : 

 — * 



qtiae fra&io fi evadat integra cafu r~f, etiam numeros in- 

 tegros dabit ponendo r ~ 25 £+/; tum enim prodibit 



N = 25 1 1 ±; 2 tf-h ff ^ 169 



.5 ' 



haec conditio autem adimplebitur , fumendo r ~: 15 t ±9^ 

 hinc enim fiet N — 25 tt ±18 t~h 10 , unde oriuntur fe- 

 quentes valores: 10, 17, 53, 74, quorum 53 plane eft no- 

 vus. Si forma fecunda pro iisdem pofitionibus uti vellemus, 

 haberetur 



XT r r — 169 i_ T n 144 



** 25 "^ * — 25 ' 



quae fi ponatur r=z 25 t +13, tranfit in hanc formam: 



N = 25tt±26t+i, five N = (t ±: 1) (25 t ± 1 ), 

 unde patet hanc fortnam iam in principali, quae erat 



N = (ctix+ 1 ) (&/jK±: x ) 

 contineri, fumendo a~:t; x ~: 1 et y ~. 5, unde novi nu- 

 meri non funt expe&andi. 



J. 3 2. Ex iis igitur, quae ha&enus funt tradita, pa- 

 tet valores idoneos pofitivos pro numexo N usque ad 100 

 hoc ordine procedere: 



7, IO, II, 17, 20, 22, 23, 24, 27, 30, 31, 34, 41, 42 



45* 49* 50, 52, 53* 57* 5 8, 59> 6o * 6l * 6 4* 6 8, 71, 72 

 74* 7 6 * 77*, 79* 81, 82, 85* 86, 90, 92, 94, 97, 99j 100. 

 Sequentes autem ex hoc ordine exclufi funt putandi: 



2 > 3* 4* 5* 6 i 8* 9* i^, 13, 14* *5* l6 -> *8, i°> 2i, 

 25* 2(5, 28, 20, 32, 33, 35, 36, 37, 38, 39, 4 c, 43, 44 



4 6 , 47* 48* 51* 54* 55, 5<>, 62, 63, 65, 6(5, 67, 6 9 , 70 



73, 75* 78> 80, 83* 84* 87* 88, 89, 9 1 * 93* 95, 9 6 > 9^ 



M 2 Quo- 



