Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 4)

42 
note sur l’équation x 2 — D\f = ± 4, D = 5 (mod. 8). 
[231 
Table des plus petites solutions impaires de l’équation cc 2 -Dy 2 = +4, D=o (mod. 8). 
D 
X 
y 
D 
± 
X 
y 
D 
db 
X 
y 
5 
1 
! 
341 
4- 
277 
15 
677 
imposs. 
13 
- 
3 
1 
349 
imposs. 
685 
- 
759 
29 
21 
+ 
5 
1 
357 
■+* 
19 
1 
693 
+ 
79 
3 
29 
- 
5 
1 
365 
- 
19 
1 
701 
imposs. 
37 
împoss. 
373 
imposs. 
709 
imposs. 
45 
+ 
7 
1 
381 
imposs. 
717 
+ 
241 
9 
53 
- 
7 
1 
389 
imposs. 
725 
+ 
27 
1 
61 
- 
39 
5 
397 
— 
3447 
173 
733 
- 
27 
1 
69 
+ 
25 
3 
405 
imposs. 
741 
4- 
245 
9 
77 
+ 
9 
1 
413 
+ 
61 
3 
749 
+ 
12945 
473 
85 
- 
9 
1 
421 
- 
444939 
21685 
757 
imposs. 
93 
+ 
29 
3 
429 
+ 
145 
7 
765 
+ 
83 
3 
101 
imposs. 
437 
-f- 
21 
1 
773 
- 
139 
5 
109 
- 
261 
25 
445 
— 
21 
1 
781 
imposs. 
117 
+ 
11 
1 
453 
4- 
149 
7 
789 
+ 
31825 
1133 
125 
- 
11 
1 
461 
— 
365 
17 
797 
— 
367 
13 
133 
+ 
173 
15 
469 
+ 
65 
3 
805 
+ 
1447 
51 
141 
imposs. 
477 
4" 
2599 
119 
813 
imposs. 
149 
- 
61 
5 
485 
imposs. 
821 
_ 
16189 
565 
157 
- 
213 
17 
493 
- 
111 
5 
829 
imposs. 
165 
+ 
13 
1 
501 
+ 
28225 
1261 
837 
+ 
29 
1 
173 
— 
13 
1 
509 
— 
925 
41 
845 
— 
29 
1 
181 
— 
1305 
97 
517 
+ 
10573 
465 
853 
— 
27483 
941 
189 
imposs. 
525 
4“ 
23 
1 
861 
+ 
1027 
35 
197 
imposs. 
533 
■ - 
23 
1 
869 
+ 
49377 
1675 
205 
+ 
43 
3 
541 
- 
1396425 
60037 
877 
imposs. 
213 
+ 
73 
5 
549 
+ 
1523 
65 
885 
imposs. 
221 
+ 
15 
1 
557 
imposs. 
893 
+ 
2301 
77 
229 
— 
15 
1 
565 
— 
309 
13 
901 
imposs. 
237 
+ 
77 
5 
573 
imposs. 
909 
imposs. 
245 
+ 
47 
3 
581 
+ 
6725 
279 
917 
+ 
1181 
31 
253 
+ 
1177 
74 
589 
+ 
4359377 
179625 
925 
imposs. 
261 
+ 
727 
45 
597 
+ 
7949 
399 
933 
imposs. 
269 
imposs. 
605 
+ 
123 
5 
941 
1135 
37 
277 
— 
2613 
157 
613 
— 
98763 
3989 
949 
— 
32685 
1061 
285 
+ 
17 
1 
621 
+ 
25 
1 
957 
+ 
31 
1 
293 
— 
17 
1 
629 
— 
25 
1 
965 
— 
31 
1 
301 
+ 
22745 
1311 
637 
14159 
561 
973 
imposs. 
309 
+ 
5045 
287 
645 
+ 
203 
8 
981 
+ 
68123 
2175 
317 
— 
89 
5 
653 
— 
1661 
65 
989 
+■ 
103245 
3283 
325 
imposs. 
661 
- 
1789539 
69605 
997 
imp 
oss. 
333 
imposs. 
669 
+ 
305285 
11803
	        
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