f%« [ 3*7 I 



Received February 13, 1772a 

 XXII. K02KIN0N EPATOSGENOT^ 



O R, 



The Sieve of Eratoftfeenes* 



Being an account of hu method of finding all 

 the Prime Numbers^ hy the Rev. Samuel' 



r, K R: S. 



Read May 7,. a Prime number is fuch a' one, as hath? 

 /\ no intregral divifor but unity. 



A number, which bath any other integral divifor^ 

 is Compofite. 



Two or more numbers, which have no eoaimoti 

 integral divifor, befides Unity, are faid to be Prime 

 with refpecl to one another. 



Two or more numbers, which have any common* 

 integral divifor befides unity* are faid to be 

 Compofite with refpe£t to one another.. 



The diflindtion of numbers into Prime andJ 

 Compofite,. is fo generally underftood, that I fup- 

 pofe it is needlefs to enlarge upon it. 



To determine,, whether feveral numbers propofed: 



be Prime or Compofite with refpeft t& one another y 



is an eafy Problem.. The folution of k is given by 



Euclid^, in the three firfl propofitions of the 7th. 



& book 



