ペル方程式
最小解の一覧表

x2 − ny2 = 1 の、115 以下の n についての最小解の一覧表を、以下に示す。
| n | x | y |  | n | x | y |  | n | x | y |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 2 | 3 | 2 |  | 42 | 13 | 2 |  | 79 | 80 | 9 |
| 3 | 2 | 1 |  | 43 | 3482 | 531 |  | 80 | 9 | 1 |
| 5 | 9 | 4 |  | 44 | 199 | 30 |  | 82 | 163 | 18 |
| 6 | 5 | 2 |  | 45 | 161 | 24 |  | 83 | 82 | 9 |
| 7 | 8 | 3 |  | 46 | 24335 | 3588 |  | 84 | 55 | 6 |
| 8 | 3 | 1 |  | 47 | 48 | 7 |  | 85 | 285769 | 30996 |
| 10 | 19 | 6 |  | 48 | 7 | 1 |  | 86 | 10405 | 1122 |
| 11 | 10 | 3 |  | 50 | 99 | 14 |  | 87 | 28 | 3 |
| 12 | 7 | 2 |  | 51 | 50 | 7 |  | 88 | 197 | 21 |
| 13 | 649 | 180 |  | 52 | 649 | 90 |  | 89 | 500001 | 53000 |
| 14 | 15 | 4 |  | 53 | 66249 | 9100 |  | 90 | 19 | 2 |
| 15 | 4 | 1 |  | 54 | 485 | 66 |  | 91 | 1574 | 165 |
| 17 | 33 | 8 |  | 55 | 89 | 12 |  | 92 | 1151 | 120 |
| 18 | 17 | 4 |  | 56 | 15 | 2 |  | 93 | 12151 | 1260 |
| 19 | 170 | 39 |  | 57 | 151 | 20 |  | 94 | 2143295 | 221064 |
| 20 | 9 | 2 |  | 58 | 19603 | 2574 |  | 95 | 39 | 4 |
| 21 | 55 | 12 |  | 59 | 530 | 69 |  | 96 | 49 | 5 |
| 22 | 197 | 42 |  | 60 | 31 | 4 |  | 97 | 62809633 | 6377352 |
| 23 | 24 | 5 |  | 61 | 1766319049 | 226153980 |  | 98 | 99 | 10 |
| 24 | 5 | 1 |  | 62 | 63 | 8 |  | 99 | 10 | 1 |
| 26 | 51 | 10 |  | 63 | 8 | 1 |  | 101 | 201 | 20 |
| 27 | 26 | 5 |  | 65 | 129 | 16 |  | 102 | 101 | 10 |
| 28 | 127 | 24 |  | 66 | 65 | 8 |  | 103 | 227528 | 22419 |
| 29 | 9801 | 1820 |  | 67 | 48842 | 5967 |  | 104 | 51 | 5 |
| 30 | 11 | 2 |  | 68 | 33 | 4 |  | 105 | 41 | 4 |
| 31 | 1520 | 273 |  | 69 | 7775 | 936 |  | 106 | 32080051 | 3115890 |
| 32 | 17 | 3 |  | 70 | 251 | 30 |  | 107 | 962 | 93 |
| 33 | 23 | 4 |  | 71 | 3480 | 413 |  | 108 | 1351 | 130 |
| 34 | 35 | 6 |  | 72 | 17 | 2 |  | 109 | 158070671986249 | 15140424455100 |
| 35 | 6 | 1 |  | 73 | 2281249 | 267000 |  | 110 | 21 | 2 |
| 37 | 73 | 12 |  | 74 | 3699 | 430 |  | 111 | 295 | 28 |
| 38 | 37 | 6 |  | 75 | 26 | 3 |  | 112 | 127 | 12 |
| 39 | 25 | 4 |  | 76 | 57799 | 6630 |  | 113 | 1204353 | 113296 |
| 40 | 19 | 3 |  | 77 | 351 | 40 |  | 114 | 1025 | 96 |
| 41 | 2049 | 320 |  | 78 | 53 | 6 |  | 115 | 1126 | 105 |
x2 − ny2 = −1 の、653 以下の n についての最小解の一覧表を、以下に示す。
| n | ｘ | ｙ |  | n | ｘ | ｙ |  | n | ｘ | ｙ |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 2 | 1 | 1 |  | 193 | 1764132 | 126985 |  | 409 | 111921796968 | 5534176685 |
| 5 | 2 | 1 |  | 197 | 14 | 1 |  | 421 | 44042445696821418 | 2146497463530785 |
| 10 | 3 | 1 |  | 202 | 3141 | 221 |  | 425 | 268 | 13 |
| 13 | 18 | 5 |  | 218 | 251 | 17 |  | 433 | 7230660684 | 347483377 |
| 17 | 4 | 1 |  | 226 | 15 | 1 |  | 442 | 21 | 1 |
| 26 | 5 | 1 |  | 229 | 1710 | 113 |  | 445 | 4662 | 221 |
| 29 | 70 | 13 |  | 233 | 23156 | 1517 |  | 449 | 189471332 | 8941705 |
| 37 | 6 | 1 |  | 241 | 71011068 | 4574225 |  | 457 | 59089951584 | 2764111349 |
| 41 | 32 | 5 |  | 250 | 4443 | 281 |  | 458 | 107 | 5 |
| 50 | 7 | 1 |  | 257 | 16 | 1 |  | 461 | 24314110 | 1132421 |
| 53 | 182 | 25 |  | 265 | 6072 | 373 |  | 481 | 964140 | 43961 |
| 58 | 99 | 13 |  | 269 | 82 | 5 |  | 485 | 22 | 1 |
| 61 | 29718 | 3805 |  | 274 | 1407 | 85 |  | 493 | 683982 | 30805 |
| 65 | 8 | 1 |  | 277 | 8920484118 | 535979945 |  | 509 | 395727950 | 17540333 |
| 73 | 1068 | 125 |  | 281 | 1063532 | 63445 |  | 521 | 128377240 | 5624309 |
| 74 | 43 | 5 |  | 290 | 17 | 1 |  | 530 | 23 | 1 |
| 82 | 9 | 1 |  | 293 | 2482 | 145 |  | 533 | 6118 | 265 |
| 85 | 378 | 41 |  | 298 | 409557 | 23725 |  | 538 | 69051 | 2977 |
| 89 | 500 | 53 |  | 313 | 126862368 | 7170685 |  | 541 | 1361516316469227450 | 58536158470221581 |
| 97 | 5604 | 569 |  | 314 | 443 | 25 |  | 554 | 174293 | 7405 |
| 101 | 10 | 1 |  | 317 | 352618 | 19805 |  | 557 | 118 | 5 |
| 106 | 4005 | 389 |  | 325 | 18 | 1 |  | 565 | 14752278 | 620633 |
| 109 | 8890182 | 851525 |  | 337 | 1015827336 | 55335641 |  | 569 | 2894863832 | 121359005 |
| 113 | 776 | 73 |  | 338 | 239 | 13 |  | 577 | 24 | 1 |
| 122 | 11 | 1 |  | 346 | 93 | 5 |  | 586 | 4115086707 | 169992665 |
| 125 | 682 | 61 |  | 349 | 9210 | 493 |  | 593 | 600632 | 24665 |
| 130 | 57 | 5 |  | 353 | 71264 | 3793 |  | 601 | 139468303679532 | 5689030769845 |
| 137 | 1744 | 149 |  | 362 | 19 | 1 |  | 610 | 71847 | 2909 |
| 145 | 12 | 1 |  | 365 | 3458 | 181 |  | 613 | 481673579088618 | 19454612624065 |
| 149 | 113582 | 9305 |  | 370 | 327 | 17 |  | 617 | 41009716 | 1650989 |
| 157 | 4832118 | 385645 |  | 373 | 5118 | 265 |  | 626 | 25 | 1 |
| 170 | 13 | 1 |  | 389 | 1282 | 65 |  | 629 | 7850 | 313 |
| 173 | 1118 | 85 |  | 394 | 395023035 | 19900973 |  | 634 | 65999458125 | 2621173333 |
| 181 | 1111225770 | 82596761 |  | 397 | 20478302982 | 1027776565 |  | 641 | 36120833468 | 1426687145 |
| 185 | 68 | 5 |  | 401 | 20 | 1 |  | 653 | 2291286382 | 89664965 |