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Known smallest n-digit prime 13-tuplets
Note: n = exp + 1 , 10exp + Offset + di are 13 primes
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P1 : d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48
P2 : d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48
P3 : d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 P4 : d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 P5 : d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 P6 : d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 |
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| exp | Offset_P1 | Offset_P2 | Offset_P3 | Offset_P4 | Offset_P5 | Offset_P6 | ||
|---|---|---|---|---|---|---|---|---|
| 1 | 1 |
3 |
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| 13 | 527 733 922 579 Dimitrios Betsis & Sten Säfholm 1982 |
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| 14 | 86 460 616 596 321 D. Betsis; S. Säfholm 1982 |
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| 15 | 6 933 248 530 182 091 D. Betsis; S. Säfholm 1982 |
6 582 919 852 522 851 Vladimir Vlesycit |
707 898 733 581 273 Dimitrios Betsis & Sten Säfholm 1982 |
3 289 907 938 811 613 Dimitrios Betsis & Sten Säfholm 1982 |
6 697 168 877 290 909 Dimitrios Betsis & Sten Säfholm 1982 |
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| 16 | 10 475 715 985 020 181 Vladimir Vlesycit |
1 979 851 757 518 501 Vladimir Vlesycit |
907 318 641 689 703 Vladimir Vlesycit |
11 817 283 854 511 263 Vladimir Vlesycit |
71 192 314 217 869 Vladimir Vlesycit |
5 991 086 371 740 199 Vladimir Vlesycit |
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| 17 | 19 308 586 807 395 871 Vladimir Vlesycit |
36 667 406 812 471 371 Vladimir Vlesycit |
15 458 868 925 574 253 Vladimir Vlesycit |
4 814 760 374 339 133 Vladimir Vlesycit |
36 720 189 890 477 209 Vladimir Vlesycit |
64 873 121 596 539 229 Vladimir Vlesycit |
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| 18 | 6 587 882 969 594 041 Matthew C. Anderson |
2 262 729 765 021 561 Matt C. Anderson |
113 726 303 287 832 313 Matt C. Anderson |
6 587 882 969 594 043 Matthew C. Anderson |
166 929 234 284 358 379 Matt C. Anderson |
95 072 117 072 303 089 Matt C. Anderson |
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| 19 | 138 452 552 101 909 921 Dana Jacobsen |
44 468 277 996 476 391 Dana Jacobsen |
106 500 546 068 997 303 Dana Jacobsen |
14 979 242 404 691 673 Dana Jacobsen |
183 703 425 634 251 529 Dana Jacobsen |
43 408 944 336 693 799 Dana Jacobsen |
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| 20 | 8 272 250 687 086 171 Norman Luhn |
69 401 419 430 877 501 Norman Luhn |
565 818 748 881 580 173 Norman Luhn |
61 936 824 114 922 593 Norman Luhn |
8 608 327 154 479 969 Norman Luhn |
174 788 239 843 753 309 Norman Luhn |
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| 21 | 506 374 351 999 420 021 Norman Luhn |
780 824 515 954 957 311 Norman Luhn |
392 220 222 080 159 553 Norman Luhn |
453 290 393 934 744 303 Norman Luhn |
93 882 161 524 223 089 Norman Luhn |
179 979 740 776 120 159 Norman Luhn |
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| 22 | 1 228 451 317 520 332 801 Norman Luhn |
207 911 659 121 170 851 Norman Luhn |
86 342 219 196 627 483 Norman Luhn |
657 353 187 498 134 073 Norman Luhn |
1 180 066 670 741 853 739 Norman Luhn |
2 947 662 491 015 742 229 Norman Luhn |
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| 23 | 1 209 601 717 551 062 821 Norman Luhn Mar 2018 |
928 999 915 905 045 921 Norman Luhn Mar 2018 |
968 983 993 326 943 773 Norman Luhn |
1 410 728 586 479 819 643 Norman Luhn |
1 808 688 097 483 852 519 Norman Luhn |
6 931 656 387 431 749 Norman Luhn |
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| 24 | 1 086 284 058 767 464 441 Norman Luhn Mar 2018 |
1 327 368 961 591 338 501 Norman Luhn Mar 2018 |
3 668 771 484 617 174 013 Norman Luhn |
717 280 543 871 559 603 Norman Luhn |
1 634 089 407 242 658 199 Norman Luhn |
429 146 622 251 113 639 Norman Luhn |
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| 25 | 2 338 641 743 790 277 801 Norman Luhn Mar 2018 |
6 089 564 559 362 849 391 Norman Luhn Mar 2018 |
3 676 344 147 490 938 993 Norman Luhn |
4 938 163 400 388 313 203 Norman Luhn |
3 280 688 845 760 359 039 Norman Luhn |
2 616 650 954 000 849 629 Norman Luhn |
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| 26 | 9 483 772 319 321 986 471 Norman Luhn Mar 2018 |
24 647 881 852 654 895 571 Norman Luhn Mar 2018 |
851 162 784 301 059 363 Norman Luhn |
1 407 253 101 177 188 283 Norman Luhn |
2 236 656 496 199 870 479 Norman Luhn |
4 921 235 497 555 683 079 Norman Luhn |
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| 27 | 24 555 737 365 512 987 751 Norman Luhn Apr 2018 |
5 937 801 480 331 253 601 Norman Luhn Apr 2018 |
3 019 550 663 779 419 003 Norman Luhn Apr 2018 |
384 205 824 803 586 723 Norman Luhn Apr 2018 |
11 205 177 804 410 223 469 Norman Luhn Apr 2018 |
9 884 376 065 170 916 029 Norman Luhn Apr 2018 |
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| 28 | 5 876 812 661 093 319 841 Norman Luhn Apr 2018 |
5 590 295 017 764 931 551 Norman Luhn Apr 2018 |
8 623 601 190 186 012 273 Norman Luhn Apr 2018 |
22 100 435 294 847 376 413 Norman Luhn Apr 2018 |
28 906 250 703 813 337 699 Norman Luhn Apr 2018 |
3 399 646 286 529 392 629 Norman Luhn Apr 2018 |
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| 29 | 18 487 752 891 895 982 911 Norman Luhn Apr 2018 |
22 370 766 039 587 549 751 Norman Luhn Apr 2018 |
5 238 550 467 902 311 893 Norman Luhn Apr 2018 |
13 427 005 044 165 137 643 Norman Luhn Apr 2018 |
22 081 569 415 744 041 319 Norman Luhn Apr 2018 |
20 240 263 059 296 095 789 Norman Luhn Apr 2018 |
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| 30 | 6 690 997 393 421 146 921 Norman Luhn Oct 2018 |
23 677 904 673 086 228 631 Norman Luhn Oct 2018 |
8 449 315 049 002 492 743 Norman Luhn Oct 2018 |
9 730 285 151 416 347 453 Norman Luhn Oct 2018 |
50 225 232 806 352 507 919 Norman Luhn Oct 2018 |
39 909 433 002 603 961 669 Norman Luhn Oct 2018 |
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| 31 | 230 457 050 743 926 861 681 Norman Luhn Oct 2018 |
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| 34 | 15 141 548 551 355 951 851 Norman Luhn Feb 2021 |
324 000 701 496 110 723 931 Norman Luhn Feb 2021 |
325 778 825 790 175 217 703 Norman Luhn Feb 2021 |
94 989 640 220 894 283 993 Norman Luhn Feb 2021 |
108 412 629 077 454 977 119 Norman Luhn Feb 2021 |
54 122 451 329 461 300 669 Norman Luhn Feb 2021 |
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| 39 | 282 197 071 067 938 130 221 Norman Luhn Mar 2021 |
349 508 508 460 276 218 891 Norman Luhn Mar 2021 |
2 334 523 699 629 280 598 673 Norman Luhn Mar 2021 |
2 713 562 652 524 314 606 953 Norman Luhn Mar 2021 |
349 508 508 460 276 218 889 Norman Luhn Mar 2021 |
368 816 080 526 066 037 739 Norman Luhn Mar 2021 |
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| 44 | 4 356 680 452 416 578 030 761 Norman Luhn Mar 2022 |
370 753 267 420 360 939 851 Norman Luhn Mar 2022 |
2 004 740 564 798 426 955 633 Norman Luhn Mar 2022 |
123 638 035 929 118 697 823 Norman Luhn Feb 2022 |
6 149 198 224 095 343 810 309 Norman Luhn Mar 2022 |
1 385 313 747 234 235 067 869 Norman Luhn Mar 2022 |
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| 49 | 19 294 427 203 099 948 114 321 Norman Luhn May 2023 |
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