i09 



and hence, 



(p) = (p, 02 4- me + n) (p, 02 — me -t- n^. 



If (2) is insoluble, F(x) is irreducible and hence (p) is a prime ideal. 

 As an application we give a table of the prime ideal factors of certain 

 rational primes in the number-field generated hj a root e of the equation 



X* + X + 1 = 0. 

 Here A = 229 and we get 



(229) = (229, e — 75) ^ (229, e^ — 79e — 71) 



(2) = (2) 



(3) = (3, e + 2) (3, 63+02+0 + 2) 

 (5) = (5, e + 2) (5, e^ + 302 + 40 + 3) 

 (7) = (7) 



(11) = (11, e + 4) (11, e3 — 402 + i6e + 3) 



(13) = (13) 



(17) = (17, e — 3) (17, e3 + 3e2 _ ge — 6) 



(19) = (19, — 2) (19, 03 -f 202 4-40 + 9) 

 (23) = (23, + 4) (23, + 5) (23, 02 — 90 — 8). 



Dissociation-Potentials of Neutral Solutions of Lead Nitrate 

 WITH Lead Peroxide Electrodes. 



[Abstract] 

 By Arthur Kendrick. 



To determine if in such solutions and with lead peroxide electrodes 

 electrolytic action takes place at voltages lower than that required for 

 the separation of lead and lead peroxide with platinum electrodes, the 

 method developed by Nernst' and Le Blanc^ was made use of. 



Two platinum wires coated with a tliick, firm crust of lead peroxide 

 were first used as electrodes. The current-potential curves obtained 

 showed sharp bends at about 0.4 volt. To determine at which electrode 

 the action at this voltage took place an electrode was made of a platinum 

 wire projecting 1mm from a sealed glass tube. This point was coated 

 with the lead peroxide before use each time. The other electrode con- 



1. W. Nernst, Berioht. d. deutschen ch. GeseL 30, p. 1547, 1897. 

 L. Glaser, Zelt. fiir Electrochemie, 4, p. 355, 1898. 



E. Boie, Zeit. lur Electrochemie, 5, p. 153, 1899. 



2. LeBlano, Zeit. fiir ph. Chemie, 12. p. 3.3S, 1892. 



