948] 
REPORT ON THE PELLIAN EQUATION. 
467 
In connexion with the subject we have a paper, “ A Table of the Square Roots 
of Prime Numbers of the form 4m + 1 less than 10000 expanded as Periodic Continued 
Fractions,” by C. A. Roberts, with Introduction and Explanation by Artemas Martin, 
the Mathematical Magazine, vol. ii. (No. 7, for October, 1892), pp. 105—120. This 
extends, in fact, to numbers up to 10501, but only the denominators of the continued 
fractions (that is, the first lines of Degen’s and the present table) are given: thus 
the entry for 1009 is 81; 1, (3, 3). 
The paper just referred to notices errors in Degen’s tables for the numbers 853 
and 929. For 853 the first line should be 
29, 4, 1, 5, 1, 2, 4, 1, 1, 15, 19, (2, 2), 
(15 instead of Degen’s 14). For 929 the first and second lines should be 
30, 2, 11, 1, 2, 3, 2, 7, 5, (2, 2) 
1, 29, 5, 40, 19, 16, 25, 8, 11, (23, 23). 
The values of x, y in Table I. and those in Table II. (for the solution of 
y“ — ax 2 ~ 1) are correct for each of the numbers 853 and 929.