4G 



Art. 5.— T. Takenouclii 



In the following table, /^ <lenotes an odd prime in /•(/>) rela- 

 tively prime to 3, and m the norm of !'■. Tlie decomposition of 

 in— I into distinct natural primes is supposed to he 



m-1 = 2''+i 3''+! p'-- 



Hereafter we shall call tliese corpora >-imply elementary coiyora. 



If we analyse tlie division-corpus for a composite divisor ,«, no 

 other corpus will be found than the elementary corpora. For, if ,« 

 contains more than one distinct prime factor, we can decompose ,« 

 into two factors relatively prime to each other, say i.i=aß. TJien 

 two integers ? and '-y can 1)e found, such that 



1 = 1+^ 



and, i)utting 



10 = 



u. = 



a 



Tea 



r 



we get 



sn?6" = 



_ sn u en V dn v + sn r en u dn ?i 



l + o"-sn-/6 sn-'ü 



