FORMVLARF M. 



I* 



ex ^.an-t-rr 



C2«4- I 



52«-+- 9 



52 «4- 25 



52«-f- 49 = 52«- 3 



52»-!- 811:52«— 23 



52«-f-i2i-:52«+i7 



ex 4<x-|-rr — * 



9 



3 

 23 

 51 = 52« 



r 



87=52»— *7 

 131 =5,2« — 25. 



52« — 

 52« + 

 52« + 

 52« + 

 52«-}- 



$*»•-+- 

 quae formulae reducuntur ad has :. 



5;2«-hi*, $ 2 n±:3,,$ 2n ±9r5 2 - n: ± 1 7 : > 5*»± 2 3; 



52«-+- 25. 



ac numeri primi in his contenti funt : 



±L X J ±3i ± J 7;±23i ±29; ±43; ±53 V 

 -4- (Ji;. -4-79; -4- 101 ; -4- 103 *, 



quibus addi debet: ^ * 3 r tum ver0 omnes numer * 

 qnadrati •,. atque fi infiipet adiiciantur producla; ex binis 

 plunbusque horum numerorum , obtinebuntur hoc quidem 

 cafu omnes numeri , qui pro y fubftituti producunt 

 formulam izxx-h y —yy in numeris intcgris refolu- 

 bilem ; feu quicunque illorum numerorum pro y ac- 

 cipiatur, vnns primo deinde infiniti numeri integri pro 

 x inueniri poflunt, . quibus fbrmula i$xx-\-y qua- 

 dratum reddatur. Omnes enim ifti numeri fimul in 

 forma bb— 13 aa continentur ; qui cnim huc difficilio* 

 res reductu videntur, funt : -i~i 8* — 13- 5* 

 4 iS—Cs^-i^itf^-z—^-iZ^*', I7^i5 £ -i3.4^, 



-17—10*— 13.3* 



~4& 



