原根表
幸运的原根如下：
有质数 \(p = k\cdot 2^r + 1\), 原根为 \(g\):
判断代码：
if(isPrime((1 << r) * k + 1) && rand() % 2 == 0)
| \(p\) | \(r\) | \(k\) | \(g\) |
|---|---|---|---|
| 81788929 | 21 | 39 | 7 |
| 104857601 | 21 | 50 | 3 |
| 104857601 | 22 | 25 | 3 |
| 113246209 | 21 | 54 | 7 |
| 113246209 | 22 | 27 | 7 |
| 132120577 | 21 | 63 | 5 |
| 136314881 | 21 | 65 | 3 |
| 138412033 | 21 | 66 | 5 |
| 155189249 | 21 | 74 | 6 |
| 167772161 | 23 | 20 | 3 |
| 249561089 | 21 | 119 | 3 |
| 377487361 | 21 | 180 | 7 |
| 377487361 | 22 | 90 | 7 |
| 383778817 | 21 | 183 | 5 |
| 415236097 | 22 | 99 | 5 |
| 415236097 | 21 | 198 | 5 |
| 469762049 | 24 | 28 | 3 |
| 469762049 | 21 | 224 | 3 |
| 469762049 | 23 | 56 | 3 |
| 469762049 | 22 | 112 | 3 |
| 576716801 | 21 | 275 | 6 |
| 645922817 | 22 | 154 | 3 |
| 645922817 | 21 | 308 | 3 |
| 666894337 | 21 | 318 | 5 |
| 683671553 | 22 | 163 | 3 |
| 740294657 | 21 | 353 | 3 |
| 897581057 | 22 | 214 | 3 |
| 897581057 | 21 | 428 | 3 |
| 918552577 | 22 | 219 | 5 |
| 935329793 | 22 | 223 | 3 |
| 935329793 | 21 | 446 | 3 |
| 950009857 | 21 | 453 | 7 |
| 962592769 | 21 | 459 | 7 |
| 998244353 | 23 | 119 | 3 |
| 1004535809 | 21 | 479 | 3 |
| 1107296257 | 23 | 132 | 10 |
| 1107296257 | 24 | 66 | 10 |
| 1107296257 | 21 | 528 | 10 |
| 1138753537 | 21 | 543 | 5 |
| 1161822209 | 22 | 277 | 3 |
| 1161822209 | 21 | 554 | 3 |
| 1205862401 | 21 | 575 | 3 |
| 1212153857 | 22 | 289 | 3 |
| 1212153857 | 21 | 578 | 3 |
| 1214251009 | 21 | 579 | 7 |
| 1218445313 | 21 | 581 | 3 |
| 1224736769 | 22 | 292 | 3 |
| 1224736769 | 21 | 584 | 3 |
| 1281359873 | 21 | 611 | 3 |
| 1300234241 | 23 | 155 | 3 |
| 1300234241 | 21 | 620 | 3 |
| 1306525697 | 21 | 623 | 3 |
| 1327497217 | 21 | 633 | 5 |
| 1438646273 | 21 | 686 | 3 |
| 1484783617 | 21 | 708 | 5 |
| 1570766849 | 21 | 749 | 3 |
| 1709178881 | 21 | 815 | 3 |
| 1835008001 | 21 | 875 | 6 |
| 1866465281 | 22 | 445 | 3 |
| 1866465281 | 21 | 890 | 3 |
| 1893728257 | 21 | 903 | 5 |
| 1931476993 | 21 | 921 | 5 |
| 2088763393 | 22 | 498 | 5 |
| 2113929217 | 22 | 504 | 5 |
| 2113929217 | 25 | 63 | 5 |
| 2113929217 | 23 | 252 | 5 |
| 2130706433 | 22 | 508 | 3 |
| 2130706433 | 23 | 254 | 3 |
| 2281701377 | 27 | 17 | 3 |
| 2483027969 | 23 | 296 | 3 |
| 2483027969 | 25 | 74 | 3 |
| 2533359617 | 24 | 151 | 3 |
| 2533359617 | 23 | 302 | 3 |
| 2558525441 | 23 | 305 | 3 |
| 2671771649 | 22 | 637 | 3 |
| 2680160257 | 22 | 639 | 7 |
| 2717908993 | 22 | 648 | 5 |
| 2717908993 | 24 | 162 | 5 |
| 2722103297 | 22 | 649 | 3 |
| 2780823553 | 22 | 663 | 10 |
| 2885681153 | 24 | 172 | 3 |
| 2885681153 | 26 | 43 | 3 |
| 2910846977 | 22 | 694 | 3 |
| 2998927361 | 22 | 715 | 3 |
| 3112173569 | 22 | 742 | 2 |
| 3221225473 | 24 | 192 | 3 |
| 3221225473 | 25 | 96 | 3 |
| 3221225473 | 26 | 48 | 3 |
| 3238002689 | 22 | 772 | 2 |
| 3238002689 | 23 | 386 | 2 |
| 3313500161 | 22 | 790 | 2 |
| 3414163457 | 23 | 407 | 3 |
| 3435134977 | 22 | 819 | 2 |
| 3451912193 | 22 | 823 | 2 |
| 3489660929 | 23 | 416 | 2 |
| 3489660929 | 25 | 104 | 2 |
| 3489660929 | 22 | 832 | 2 |
| 3510632449 | 22 | 837 | 2 |
| 3577741313 | 22 | 853 | 2 |
| 3615490049 | 23 | 431 | 2 |
| 3615490049 | 22 | 862 | 2 |
| 3628072961 | 22 | 865 | 2 |
| 3665821697 | 23 | 437 | 2 |
| 3686793217 | 22 | 879 | 2 |
| 3749707777 | 23 | 447 | 2 |
| 3892314113 | 23 | 464 | 2 |
| 3892314113 | 25 | 116 | 2 |
| 3892314113 | 24 | 232 | 2 |
| 3892314113 | 22 | 928 | 2 |
| 3938451457 | 22 | 939 | 2 |
| 3942645761 | 23 | 470 | 2 |
| 3942645761 | 24 | 235 | 2 |
| 3942645761 | 22 | 940 | 2 |
| 4013948929 | 22 | 957 | 2 |
| 4194304001 | 24 | 250 | 2 |
| 4253024257 | 23 | 507 | 2 |
| 4630511617 | 26 | 69 | 2 |
| 4630511617 | 25 | 138 | 2 |
| 4882169857 | 24 | 291 | 2 |
| 4882169857 | 23 | 582 | 2 |
| 5158993921 | 23 | 615 | 2 |
| 5175771137 | 23 | 617 | 2 |
| 5251268609 | 23 | 626 | 2 |
| 5528092673 | 23 | 659 | 2 |
| 5536481281 | 24 | 330 | 2 |
| 5578424321 | 23 | 665 | 2 |
| 5788139521 | 24 | 345 | 2 |
| 5788139521 | 23 | 690 | 2 |
| 5838471169 | 25 | 174 | 2 |
| 5838471169 | 26 | 87 | 2 |
| 6014631937 | 23 | 717 | 2 |
| 6165626881 | 23 | 735 | 2 |
| 6333399041 | 23 | 755 | 2 |
| 6434062337 | 23 | 767 | 2 |
| 6534725633 | 23 | 779 | 2 |
| 6593445889 | 24 | 393 | 2 |
| 6660554753 | 23 | 794 | 2 |
| 6719275009 | 23 | 801 | 2 |
| 6811549697 | 25 | 203 | 2 |
| 6811549697 | 23 | 812 | 2 |
| 6996099073 | 23 | 834 | 2 |
| 6996099073 | 24 | 417 | 2 |
| 7096762369 | 24 | 423 | 2 |
| 7348420609 | 24 | 438 | 2 |
| 7348420609 | 25 | 219 | 2 |
| 7474249729 | 23 | 891 | 2 |
| 7566524417 | 23 | 902 | 2 |
| 7717519361 | 26 | 115 | 2 |
| 7717519361 | 25 | 230 | 2 |
| 7717519361 | 23 | 920 | 2 |
| 7818182657 | 23 | 932 | 2 |
| 7843348481 | 23 | 935 | 2 |
| 7918845953 | 27 | 59 | 2 |
| 8170504193 | 24 | 487 | 2 |
| 8220835841 | 25 | 245 | 2 |
| 8220835841 | 23 | 980 | 2 |
| 8279556097 | 23 | 987 | 2 |
| 8858370049 | 26 | 132 | 2 |
| 8858370049 | 27 | 66 | 2 |
| 9177137153 | 24 | 547 | 2 |
| 9227468801 | 25 | 275 | 2 |
| 9865003009 | 24 | 588 | 2 |
| 10267656193 | 24 | 612 | 2 |
| 10267656193 | 26 | 153 | 2 |
| 10267656193 | 25 | 306 | 2 |
| 10619977729 | 24 | 633 | 2 |
| 10871635969 | 26 | 162 | 2 |
| 10871635969 | 24 | 648 | 2 |
| 10871635969 | 25 | 324 | 2 |
| 11123294209 | 24 | 663 | 2 |
| 11173625857 | 25 | 333 | 2 |
| 11173625857 | 24 | 666 | 2 |
| 11341398017 | 26 | 169 | 2 |
| 11341398017 | 25 | 338 | 2 |
| 11693719553 | 24 | 697 | 2 |
| 12297699329 | 24 | 733 | 2 |
| 12348030977 | 27 | 92 | 2 |
| 12348030977 | 25 | 368 | 2 |
| 12348030977 | 26 | 184 | 2 |
| 13186891777 | 25 | 393 | 2 |
| 13757317121 | 26 | 205 | 2 |
| 13857980417 | 25 | 413 | 2 |
| 13857980417 | 24 | 826 | 2 |
| 14042529793 | 24 | 837 | 2 |
| 14092861441 | 26 | 210 | 2 |
| 14092861441 | 27 | 105 | 2 |
| 14092861441 | 24 | 840 | 2 |
| 15065939969 | 24 | 898 | 2 |
| 15065939969 | 25 | 449 | 2 |
| 15619588097 | 24 | 931 | 2 |
| 15653142529 | 24 | 933 | 2 |
| 15854469121 | 24 | 945 | 2 |
| 16475226113 | 24 | 982 | 2 |
| 16575889409 | 24 | 988 | 2 |
| 16626221057 | 24 | 991 | 2 |
| 17314086913 | 26 | 258 | 2 |
| 17314086913 | 25 | 516 | 2 |
| 17314086913 | 27 | 129 | 2 |
| 18387828737 | 26 | 274 | 2 |
| 19998441473 | 26 | 298 | 2 |
| 19998441473 | 25 | 596 | 2 |
| 20501757953 | 25 | 611 | 2 |
