314 ON PRIiMF, NUMBERS. 



Fig. 2. thews, upon a larger fcale, the manner In which 

 the box K above mentioned loads the buckets. P is an iron 

 tooth projecting from the endlefs chain, which, preffing upon 

 the catch R, underneath "the box K, occafions that part of 

 the box next the chain to fink down, and difcharge into the 

 bucket beneath it a quantity of ore fufficient to fill it. As the 

 loaded bucket rifes, it lifts the box K to its former place, till 

 the operation is repeated by the next tooth upon the chain. 



XVI. 



Curious Properties of prime Numbers, taken as the Divifors of 

 Unity. By a Correfpondent. 



To Mr. NICHOLSON. 

 SIR, 



T - od £1 ^ e f° urtn volume of your Journal, page 403, (4to.) you 



letter. inferted a curious property refpecting the. quotients refulting 



from the divilion of an unit by all prime numbers, not lefs 

 than the number 7. I mail now lay before you two other 

 properties equally curious, arifing from fimilar divilions, and 

 fliall be much gratified, if in the hands of fome of your learned 

 readers or correfpondents, this communication fhould, as. I 

 truft it will, prove really beneficial, 



I am, SIR, 



Yours, &c. 



March 22, 1802. 



H. G. 



PRIME NUMBERS. 



Law of the quo- 1. The firft half of the quotient figures ariiing from the 

 tients of unity divifion of an unit by any prime number, not lefs than the 

 ~ , ypr number 7*, will be the complements of the other half, to the 



number 9\ 



Exa MPLE 



