PRIMIS PRAEMAGNIS. 



75 



nu.mero propofrto N, fi rnodo m aliqua odto po- 

 flremarum fpecierum cautineatur , vel quod eodem 

 redit fi fuerit vel huius fcrmae i20#-j-77 vel 

 huius 120« 1-5.3, fuccefliue fubtrahi debent quadrata 

 aa, (240 -f- a)\ (480 + ^) 2 etc. notetur differentias efle 

 prrrrus 57600 -4- 480 a\ 3. 57600 '■+ 480 a etc. fe- 

 oundas vero effc conflantes —115 200, quo pacto to- 

 tu.m negotium ad meras additiones et fubtra&iones 

 r-educitur ; et quia qnaelibet radix fimplex a tam 

 pofitiue quam negatiue accipi poteft , vtraque pari 

 cakulo expedietur.. 



P r o b 1 e m a. 



1 2. Propofito numero quantumiris magno N , 

 qui vel in hac forma 120 »-4-77 ^el in hac 

 120 »-+-5 3 contineatur , explorare vtrum is fitpri-< 

 xnus nec ne ? 



S o 1 u t i o. 



Statuatur TS—aa-\-zz, et pro o&onis formis 

 ipfius N littera a quatuor liabebit valores fequentes 



. 



fi fit 



N— 480»-}- 77 

 N=48o«-i- 197 

 N~ 480 «-+-3 17 

 N:=48ofl-4-437 



N = 48o«-f- 53 

 N rz48o«-|-i73 

 Niz: 480 /2^4- 293 

 Nzz48o»-4-4i3 



erunt quaterni valores ipfius a 



19, 29, 61, 109 



^31,49, 79 



IJ > 59>9*> 101 



41, 71, 89, 119 



7, 23,73, 103 

 13,^7,77, 83 

 17,47,97, i*3 

 37,43, 53, 107. 

 K 2 



Pro 



