First odd k for which k*2n-1 and k*2n+1 are twins
Started: Oct 06, 2007
Last update: Dec 05, 2007
Compiled by kar_bon. Let me know if there are any errors.
Data for n = 1 to 1000 from Andrey Kulsha in 2002 (see here)
Data for n > 1000 from Karsten Bonath, Gary Barnes, Borys Jaworski and Predrag Minovic.
Example: The first k for which k*223-1 and k*223+1 are prime and therefore twins is 1179.
| n |
0 | 1 | 2 | 3 | 4 |
5 | 6 | 7 | 8 | 9 |
| 0 |
- | 3 | 1 | 9 | 15 |
81 | 3 | 9 | 57 | 45 |
| 10 |
15 | 99 | 165 | 369 | 45 |
345 | 117 | 381 | 3 | 69 |
| 20 |
447 | 81 | 33 | 1179 | 243 |
765 | 375 | 81 | 387 | 45 |
| 30 |
345 | 681 | 585 | 375 | 267 |
741 | 213 | 429 | 3093 | 165 |
| 40 |
267 | 255 | 1095 | 9 | 147 |
849 | 405 | 1491 | 177 | 1941 |
| 50 |
927 | 1125 | 1197 | 2001 | 333 |
519 | 1065 | 585 | 657 | 129 |
| 60 |
147 | 141 | 417 | 9 | 1623 |
99 | 2985 | 2469 | 4497 | 5259 |
| 70 |
597 | 7029 | 315 | 3081 | 2457 |
4161 | 603 | 3591 | 2697 | 3681 |
| 80 |
213 | 2079 | 1545 | 4089 | 165 |
1455 | 10287 | 1629 | 387 | 3321 |
| 90 |
14487 | 849 | 1467 | 3339 | 3747 |
6639 | 7737 | 8265 | 15735 | 5589 |
| 100 |
4107 | 9225 | 537 | 2079 | 1203 |
1515 | 1323 | 7245 | 6897 | 20631 |
| 110 |
2205 | 2175 | 3087 | 11145 | 7887 |
14841 | 2673 | 5961 | 3303 | 5565 |
| 120 |
3957 | 9849 | 1497 | 1125 | 1983 |
699 | 2565 | 8721 | 4467 | 5835 |
| 130 |
6063 | 1089 | 3117 | 1455 | 3105 |
6129 | 22365 | 3555 | 24453 | 8121 |
| 140 |
4143 | 1179 | 6903 | 309 | 11505 |
14121 | 17037 | 1419 | 17157 | 5715 |
| 150 |
345 | 13179 | 4497 | 3741 | 10803 |
105 | 30657 | 14439 | 14445 | 7569 |
| 160 |
17295 | 25425 | 6555 | 2121 | 3717 |
13731 | 7737 | 18711 | 765 | 1881 |
| 170 |
19335 | 32361 | 2847 | 2115 | 4155 |
1941 | 1383 | 24771 | 2277 | 10479 |
| 180 |
4287 | 441 | 19617 | 27261 | 2493 |
5481 | 28227 | 20175 | 1935 | 45 |
| 190 |
525 | 13719 | 8337 | 12495 | 18087 |
27099 | 9753 | 56745 | 4245 | 8265 |
| n |
0 | 1 | 2 | 3 | 4 |
5 | 6 | 7 | 8 | 9 |
| 200 |
63855 | 27261 | 69855 | 14199 | 1755 |
5529 | 1197 | 54639 | 69753 | 10461 |
| 210 |
10575 | 9 | 3615 | 26145 | 9225 |
5859 | 12255 | 6615 | 16653 | 18531 |
| 220 |
24087 | 6555 | 7947 | 12909 | 49203 |
49341 | 10857 | 3405 | 25665 | 19041 |
| 230 |
21255 | 2571 | 30015 | 47079 | 24915 |
77751 | 33333 | 16641 | 135 | 17289 |
| 240 |
10197 | 4059 | 1023 | 50319 | 22113 |
9915 | 17535 | 19041 | 15795 | 168831 |
| 250 |
23007 | 5139 | 17787 | 15519 | 12957 |
1215 | 64647 | 9951 | 74253 | 2805 |
| 260 |
2475 | 15711 | 25767 | 9789 | 165 |
13209 | 19593 | 33105 | 45213 | 969 |
| 270 |
98907 | 19335 | 22317 | 10635 | 13713 |
34245 | 41085 | 24129 | 26025 | 24579 |
| 280 |
128505 | 3381 | 165 | 20175 | 23853 |
25881 | 61647 | 39315 | 2667 | 67695 |
| 290 |
34647 | 1899 | 33735 | 48861 | 2373 |
58179 | 66507 | 9609 | 20085 | 6405 |
| 300 |
230085 | 44529 | 16575 | 22815 | 99297 |
21015 | 21075 | 91455 | 9993 | 15069 |
| 310 |
9543 | 79719 | 36195 | 14649 | 7605 |
67461 | 16035 | 12951 | 20295 | 41349 |
| 320 |
82473 | 20781 | 19293 | 88791 | 55605 |
23295 | 25473 | 10071 | 28653 | 48489 |
| 330 |
12477 | 7791 | 345675 | 669 | 16437 |
42699 | 93765 | 12909 | 5253 | 23415 |
| 340 |
128625 | 21585 | 76995 | 153645 | 573 |
31719 | 15717 | 43011 | 33765 | 28149 |
| 350 |
71253 | 127305 | 14727 | 85431 | 10545 |
7785 | 38853 | 70851 | 65385 | 9129 |
| 360 |
162243 | 5049 | 49815 | 26871 | 210447 |
9369 | 74763 | 18669 | 16905 | 49299 |
| 370 |
12543 | 3321 | 138765 | 151839 | 40257 |
26679 | 14223 | 23709 | 22713 | 66039 |
| 380 |
1023 | 67749 | 34683 | 114951 | 126747 |
72609 | 114687 | 1701 | 56817 | 10791 |
| 390 |
39345 | 615 | 108195 | 95151 | 67023 |
21315 | 28065 | 24039 | 19065 | 102795 |
| n |
0 | 1 | 2 | 3 | 4 |
5 | 6 | 7 | 8 | 9 |
| 400 |
48207 | 28941 | 83337 | 101535 | 22887 |
74085 | 35253 | 79215 | 31635 | 36825 |
| 410 |
50835 | 273429 | 58065 | 86061 | 39513 |
17061 | 32025 | 30705 | 1743 | 71919 |
| 420 |
224415 | 66075 | 84057 | 81651 | 65337 |
237765 | 251475 | 83139 | 36903 | 39039 |
| 430 |
110157 | 66219 | 69477 | 50181 | 54033 |
5415 | 30987 | 102309 | 24693 | 56259 |
| 440 |
25077 | 15255 | 18795 | 3921 | 35793 |
9345 | 18663 | 30849 | 57717 | 69285 |
| 450 |
155463 | 26355 | 258345 | 17631 | 65193 |
2085 | 9063 | 15561 | 4323 | 104661 |
| 460 |
34725 | 92235 | 229227 | 53991 | 63903 |
24351 | 12147 | 33351 | 2565 | 108795 |
| 470 |
5547 | 139935 | 8787 | 184281 | 49053 |
13935 | 33375 | 33315 | 141315 | 53019 |
| 480 |
162897 | 233115 | 143163 | 150939 | 50295 |
27975 | 101055 | 156051 | 7503 | 73671 |
| 490 |
37095 | 37719 | 1995 | 97449 | 39207 |
27261 | 208845 | 99015 | 37755 | 131439 |
| 500 |
52305 | 207945 | 35397 | 66735 | 35877 |
74985 | 103107 | 5565 | 216243 | 107631 |
| 510 |
262035 | 43485 | 51765 | 134115 | 53355 |
87951 | 12045 | 66375 | 366555 | 83211 |
| 520 |
4257 | 17709 | 80175 | 76089 | 47403 |
5775 | 62337 | 43371 | 43137 | 10365 |
| 530 |
74367 | 104409 | 347457 | 396441 | 84627 |
278535 | 49893 | 23541 | 2007 | 12711 |
| 540 |
174297 | 8031 | 121065 | 40119 | 330015 |
18801 | 297 | 5979 | 97293 | 157209 |
| 550 |
26853 | 4035 | 29187 | 190485 | 70923 |
67329 | 130227 | 105381 | 80385 | 300561 |
| 560 |
39243 | 112581 | 176205 | 199989 | 117243 |
120069 | 75225 | 28131 | 239247 | 60411 |
| 570 |
25485 | 27909 | 20037 | 14259 | 70107 |
38835 | 247035 | 126615 | 136413 | 404871 |
| 580 |
88257 | 76569 | 22587 | 28005 | 15177 |
210051 | 83175 | 173355 | 50235 | 133911 |
| 590 |
42777 | 389799 | 86385 | 45315 | 179163 |
257529 | 41625 | 268461 | 147135 | 74229 |
| n |
0 | 1 | 2 | 3 | 4 |
5 | 6 | 7 | 8 | 9 |
| 600 |
82023 | 135585 | 190695 | 33885 | 113475 |
264849 | 129705 | 368775 | 217143 | 228651 |
| 610 |
86973 | 8781 | 47313 | 94005 | 261075 |
34059 | 79353 | 29919 | 54015 | 18429 |
| 620 |
55203 | 46035 | 87795 | 12285 | 143265 |
104091 | 16323 | 140739 | 137907 | 223569 |
| 630 |
643737 | 229749 | 506475 | 123891 | 242523 |
52419 | 78033 | 137835 | 227283 | 198459 |
| 640 |
558087 | 664941 | 394203 | 91629 | 84045 |
274395 | 250923 | 24249 | 78453 | 109809 |
| 650 |
3723 | 205251 | 375843 | 624165 | 61353 |
38835 | 256605 | 21999 | 75447 | 101661 |
| 660 |
50943 | 77505 | 32067 | 374901 | 567573 |
258651 | 249345 | 127041 | 144717 | 58725 |
| 670 |
392013 | 130689 | 15993 | 178689 | 252693 |
376929 | 257613 | 3405 | 169893 | 469755 |
| 680 |
7605 | 217221 | 386127 | 151845 | 24537 |
243879 | 141705 | 246405 | 224625 | 13689 |
| 690 |
46545 | 38229 | 47937 | 152421 | 13197 |
2985 | 96813 | 102789 | 157587 | 436095 |
| 700 |
179865 | 317481 | 169827 | 5355 | 253995 |
330171 | 312387 | 37149 | 270177 | 158115 |
| 710 |
60693 | 25029 | 700005 | 92529 | 35817 |
629211 | 118413 | 78561 | 86193 | 101361 |
| 720 |
89577 | 119721 | 150567 | 715449 | 102213 |
20115 | 213 | 35589 | 30933 | 343359 |
| 730 |
308853 | 111285 | 142047 | 597339 | 50025 |
123585 | 5013 | 11175 | 95937 | 140481 |
| 740 |
51975 | 170625 | 58683 | 48075 | 9753 |
9165 | 131937 | 113271 | 42777 | 227871 |
| 750 |
22407 | 1025925 | 140967 | 110775 | 797433 |
490281 | 490107 | 125169 | 84057 | 133521 |
| 760 |
404775 | 913671 | 48615 | 242445 | 141243 |
73059 | 988437 | 315 | 65475 | 484455 |
| 770 |
354417 | 56199 | 743433 | 62391 | 173667 |
125385 | 26775 | 188979 | 410187 | 239271 |
| 780 |
51777 | 88299 | 406707 | 108351 | 364203 |
193515 | 58257 | 17481 | 20997 | 19485 |
| 790 |
116103 | 217809 | 488805 | 98649 | 18495 |
119259 | 212157 | 526701 | 679623 | 95565 |
| n |
0 | 1 | 2 | 3 | 4 |
5 | 6 | 7 | 8 | 9 |
| 800 |
207663 | 291951 | 353127 | 267795 | 442227 |
72861 | 613383 | 136119 | 142785 | 47055 |
| 810 |
539157 | 70539 | 191085 | 10125 | 105537 |
234315 | 385887 | 64401 | 789453 | 377451 |
| 820 |
125385 | 49041 | 640677 | 268101 | 66975 |
134481 | 515955 | 12285 | 78375 | 1365 |
| 830 |
554925 | 24609 | 524217 | 49539 | 130323 |
155085 | 1175493 | 62361 | 127905 | 238395 |
| 840 |
916815 | 86679 | 129237 | 122685 | 87303 |
451209 | 61785 | 5265 | 255693 | 163965 |
| 850 |
278427 | 382875 | 53763 | 18885 | 169407 |
157251 | 87495 | 88095 | 63135 | 555039 |
| 860 |
629997 | 37359 | 798315 | 93765 | 722967 |
31575 | 1744257 | 60681 | 483735 | 399591 |
| 870 |
167967 | 1767711 | 111027 | 55209 | 75783 |
50565 | 272085 | 31005 | 296043 | 622671 |
| 880 |
4107 | 134511 | 17145 | 430389 | 25833 |
1097925 | 87465 | 895101 | 45675 | 59421 |
| 890 |
910923 | 149091 | 115845 | 248349 | 173283 |
133875 | 11925 | 498981 | 59925 | 68901 |
| 900 |
105177 | 109305 | 1039227 | 23901 | 141615 |
344949 | 24747 | 248781 | 88407 | 179091 |
| 910 |
107457 | 551979 | 313485 | 127689 | 5673 |
136881 | 106413 | 233349 | 163377 | 280929 |
| 920 |
367023 | 94629 | 10533 | 382035 | 773367 |
50595 | 143403 | 80139 | 79623 | 83271 |
| 930 |
424167 | 2035431 | 116385 | 94335 | 41727 |
390099 | 52953 | 164829 | 165537 | 369381 |
| 940 |
5955 | 202335 | 112053 | 317955 | 164787 |
60729 | 170085 | 27825 | 61425 | 23805 |
| 950 |
13503 | 385695 | 178173 | 21741 | 45243 |
351765 | 232947 | 77805 | 66417 | 399105 |
| 960 |
770193 | 98061 | 312297 | 1170699 | 177255 |
7995 | 82995 | 703701 | 514437 | 77565 |
| 970 |
113745 | 1390269 | 493173 | 16011 | 192255 |
947859 | 68313 | 230439 | 582717 | 262575 |
| 980 |
441357 | 402141 | 626943 | 10485 | 163497 |
411081 | 706773 | 1305255 | 97323 | 349521 |
| 990 |
417375 | 234291 | 56685 | 179445 | 24963 |
219069 | 237675 | 400941 | 330075 | 586899 |
| n |
0 | 1 | 2 | 3 | 4 |
5 | 6 | 7 | 8 | 9 |
| 1000 |
467343 | 282285 | 1028307 | 140691 | 519915 |
370605 | 176877 | 37275 | 48225 | 551679 |
| 1010 |
258483 | 895221 | 334137 | 74091 | 35523 |
424125 | 314217 | 320931 | 19887 | 122595 |
| 1020 |
313023 | 341871 | 292215 | 622485 | 254697 |
258621 | 155925 | 711885 | 98493 | 938931 |
| 1030 |
416883 | 461889 | 177 | 364365 | 16233 |
130869 | 328497 | 71421 | 145035 | 249429 |
| 1040 |
356433 | 200655 | 255807 | 373965 | 1391775 |
94065 | 124743 | 109809 | 3885 | 217365 |
| 1050 |
312147 | 437955 | 85845 | 212265 | 461175 |
91755 | 88515 | 33405 | 620595 | 60099 |
| 1060 |
265593 | 1063875 | 126963 | 122325 | 243183 |
290955 | 90165 | 85911 | 193443 | 132525 |
| 1070 |
70623 | 2092731 | 142443 | 291231 | 371997 |
13131 | 50025 | 181521 | 419145 | 143781 |
| 1080 |
193347 | 427611 | 533187 | 818961 | 15315 |
156615 | 69417 | 161289 | 117225 | 121719 |
| 1090 |
393687 | 773475 | 147417 | 651939 | 188793 |
803589 | 701433 | 116805 | 58287 | 342189 |
| 1100 |
355065 | 384981 | 27435 | 170115 | 4275 |
738375 | 300135 | 48681 | 413103 | 3525165 |
| 1110 |
11007 | 2439999 | 111765 | 196455 | 843003 |
1041429 | 175803 | 819225 | 528783 | 155445 |
| 1120 |
121365 | 465891 | 60513 | 831105 | 1504797 |
148935 | 1098363 | 152835 | 224973 | 508131 |
| 1130 |
| | | 142125 | 83205 |
| | | | 168195 |
| 1140 |
| | 11007 | | 162177 |
| 184923 | | | |
| 1150 |
| | | | |
| 1035 | | | |
| 1160 |
167013 | | | | |
| | 54339 | 62823 | |
| 1170 |
| | 52461 | | |
46791 | 147063 | | | |
| 1180 |
| | | | |
| | | 65613 | |
| 1190 |
154605 | | | 84435 | 176085 |
175785 | | 45201 | 185157 | |
| n |
0 | 1 | 2 | 3 | 4 |
5 | 6 | 7 | 8 | 9 |
| 1200 |
| | | | |
| | | | |
| 1210 |
| | | | |
| | 14199 | | |
| 1220 |
| 88329 | | | |
| | | 79203 | 42399 |
| 1230 |
| | | | |
| | 74109 | | |
| 1240 |
| 13629 | | | 64233 |
88575 | | | | |
| 1250 |
| 75705 | | | |
| 53865 | | | |
| 1260 |
| 32265 | | | |
| | 95229 | | |
| 1270 |
71805 | | 50655 | | 95847 |
| | | | |
| 1280 |
| | 99105 | | |
| 9183 | | | |
| 1290 |
| | | | |
49119 | | | | 3339 |
| 1300 |
| | | | |
| | | | |
| 1310 |
| | 15657 | | 46965 |
| | | | |
| 1320 |
| 1065 | | | |
62265 | | 2625 | | |
| 1330 |
| | | | |
| | | 92115 | |
| 1340 |
| | | | |
| | | | |
| 1350 |
| | | | 38565 |
62289 | | | | |
| 1360 |
| | | | |
| | 7755 | | |
| 1370 |
| | | | |
| | | | |
| 1380 |
| | | 67821 | |
| | | | 97899 |
| 1390 |
14877 | 76479 | | | 88155 |
| | | | |
| n |
0 | 1 | 2 | 3 | 4 |
5 | 6 | 7 | 8 | 9 |
| 1400 |
| | 80103 | | |
| 18003 | | 98475 | |
|
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Will be continued.