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Old 2008-02-22, 10:03   #34
kar_bon
 
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Mar 2006
Germany

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Quote:
Originally Posted by robert44444uk View Post
Here is a table of lowest k for each twin to n=1000

Does anyone want to take further?

* denotes jumping champion
hi robert,
i hope you spent not much time in that!
please have a look here: http://www.rieselprime.org/FirstKTwin.htm.

i made this page 4 months ago after i found a link on this first twin for a k (see page).
all n upto 1130 are filled in there and with gaps upto 1400.
i want to expand this page but found no time yet!
karsten
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Old 2008-02-24, 12:37   #35
robert44444uk
 
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Jun 2003
Oxford, UK

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Quote:
Originally Posted by kar_bon View Post
hi robert,
i hope you spent not much time in that!
please have a look here: http://www.rieselprime.org/FirstKTwin.htm.

i made this page 4 months ago after i found a link on this first twin for a k (see page).
all n upto 1130 are filled in there and with gaps upto 1400.
i want to expand this page but found no time yet!
karsten
No only spent about an hour or so fiddling about.

I think it is an interesting exercise because of the statistics of series like this. If you plot all the values then it increases gently and there is a nice curve bounding 95% of values, but the outer envelope of the rogue 5% seem to be increasing on a much steeper curve.

I have a hunch that you could look at really rather a large set of consecutive n's then you would be certain to find a twin prime over a relatively small k range, and that would be more efficient that the current k*2^333333+/-1 twin search, as 333333 might be just such a rogue!!

Statisticians could I think define such a range of manageable k and n to produce 99% probability of getting a twin. Whereas n=333333 - who knows!
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Old 2008-02-26, 02:55   #36
gd_barnes
 
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May 2007
Kansas; USA

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Quote:
Originally Posted by robert44444uk View Post
No only spent about an hour or so fiddling about.

I think it is an interesting exercise because of the statistics of series like this. If you plot all the values then it increases gently and there is a nice curve bounding 95% of values, but the outer envelope of the rogue 5% seem to be increasing on a much steeper curve.

I have a hunch that you could look at really rather a large set of consecutive n's then you would be certain to find a twin prime over a relatively small k range, and that would be more efficient that the current k*2^333333+/-1 twin search, as 333333 might be just such a rogue!!

Statisticians could I think define such a range of manageable k and n to produce 99% probability of getting a twin. Whereas n=333333 - who knows!

I agree completely Robert. I suggested this to MooMoo, the TPS project leader, in an Email several weeks ago. I didn't hear anything back. I think they've already decided that they'll do a fixed-n search on n=500K after they find a twin for n=333333.

IMHO, searching a moderate-sized range of consecutive n over a much smaller range of k-values is more effecient in the long run due to the LLRing efficiency gained from the smaller k-values.

In theory, the chances are the same either way of accidently searching a bad range. The TPS way, it's a 'rogue' n-value. Using the way I did it, you'd have the same number of candidates with more n-values but less k-values but still the same chance of catching a rogue k/n range. But the reason why I think it is more efficient is because smaller k's LLR so much faster. Even though you lose sieving depth and efficiency, LLRing is a large percentage of any prime search so more effort should be given towards minimizing LLR time instead of sieve time.

To get to where I've searched so far on my effort, it's only taken a few months of 2 pretty slow older 2.66 Ghz P4's. If I put 10-12 faster CPU's on it, I could most likely search n=36K-100K faster than I did just getting to n=36K.


Gary
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Old 2008-03-02, 07:05   #37
robert44444uk
 
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Jun 2003
Oxford, UK

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A simple exercise to prove the above.

Take the first instance k for the first 1,000 n, shown in the table posted above on 21 February.

Take all combinations of 15 consecutive n, and calulate the average of the k values chosen (=A), and the minimum k in the range. Multiply the minimum by 15 (=B), and compare to the average.

A is smaller than B in 197 cases, but B is smaller than A in 788 cases. The broader the range so the number of cases that B<A increases:

range of n A/B B<A as % of total cases
10 371/619 62.5%
15 197/788 80.0%
20 109/871 88.9%
25 74/901 92.4%
30 54/916 94.4%

So I really do not understand the 333333 search!!!!
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Old 2008-03-06, 04:53   #38
gd_barnes
 
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May 2007
Kansas; USA

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Quote:
Originally Posted by robert44444uk View Post
Here is a table of lowest k for each twin to n=1000

Does anyone want to take further?

* denotes jumping champion

Code:
 
1    3*
2    1
3    9*
4    15*
5    81*
6    3
7    9
8    57
9    45
10    15
11    99*
12    165*
13    369*
14    45
15    345
16    117
17    381*
18    3
19    69
20    447*
21    81
22    33
23    1179*
24    243
25    765
26    375
27    81
28    387
29    45
30    345
31    681
32    585
33    375
34    267
35    741
36    213
37    429
38    3093*
39    165
40    267
41    255
42    1095
43    9
44    147
45    849
46    405
47    1491
48    177
49    1941
50    927
51    1125
52    1197
53    2001
54    333
55    519
56    1065
57    585
58    657
59    129
60    147
61    141
62    417
63    9
64    1623
65    99
66    2985
67    2469
68    4497*
69    5259*
70    597
71    7029*
72    315
73    3081
74    2457
75    4161
76    603
77    3591
78    2697
79    3681
80    213
81    2079
82    1545
83    4089
84    165
85    1455
86    10287*
87    1629
88    387
89    3321
90    14487*
91    849
92    1467
93    3339
94    3747
95    6639
96    7737
97    8265
98    15735*
99    5589
100    4107
101    9225
102    537
103    2079
104    1203
105    1515
106    1323
107    7245
108    6897
109    20631*
110    2205
111    2175
112    3087
113    11145
114    7887
115    14841
116    2673
117    5961
118    3303
119    5565
120    3957
121    9849
122    1497
123    1125
124    1983
125    699
126    2565
127    8721
128    4467
129    5835
130    6063
131    1089
132    3117
133    1455
134    3105
135    6129
136    22365*
137    3555
138    24453*
139    8121
140    4143
141    1179
142    6903
143    309
144    11505
145    14121
146    17037
147    1419
148    17157
149    5715
150    345
151    13179
152    4497
153    3741
154    10803
155    105
156    30657*
157    14439
158    14445
159    7569
160    17295
161    25425
162    6555
163    2121
164    3717
165    13731
166    7737
167    18711
168    765
169    1881
170    19335
171    32361*
172    2847
173    2115
174    4155
175    1941
176    1383
177    24771
178    2277
179    10479
180    4287
181    441
182    19617
183    27261
184    2493
185    5481
186    28227
187    20175
188    1935
189    45
190    525
191    13719
192    8337
193    12495
194    18087
195    27099
196    9753
197    56745*
198    4245
199    8265
200    63855*
201    27261
202    69855*
203    14199
204    1755
205    5529
206    1197
207    54639
208    69753
209    10461
210    10575
211    9
212    3615
213    26145
214    9225
215    5859
216    12255
217    6615
218    16653
219    18531
220    24087
221    6555
222    7947
223    12909
224    49203
225    49341
226    10857
227    3405
228    25665
229    19041
230    21255
231    2571
232    30015
233    47079
234    24915
235    77751*
236    33333
237    16641
238    135
239    17289
240    10197
241    4059
242    1023
243    50319
244    22113
245    9915
246    17535
247    19041
248    15795
249    168831*
250    23007
251    5139
252    17787
253    15519
254    12957
255    1215
256    64647
257    9951
258    74253
259    2805
260    2475
261    15711
262    25767
263    9789
264    165
265    13209
266    19593
267    33105
268    45213
269    969
270    98907
271    19335
272    22317
273    10635
274    13713
275    34245
276    41085
277    24129
278    26025
279    24579
280    128505
281    3381
282    165
283    20175
284    23853
285    25881
286    61647
287    39315
288    2667
289    67695
290    34647
291    1899
292    33735
293    48861
294    2373
295    58179
296    66507
297    9609
298    20085
299    6405
300    230085*
301    44529
302    16575
303    22815
304    99297
305    21015
306    21075
307    91455
308    9993
309    15069
310    9543
311    79719
312    36195
313    14649
314    7605
315    67461
316    16035
317    12951
318    20295
319    41349
320    82473
321    20781
322    19293
323    88791
324    55605
325    23295
326    25473
327    10071
328    28653
329    48489
330    12477
331    7791
332    345675*
333    669
334    16437
335    42699
336    93765
337    12909
338    5253
339    23415
340    128625
341    21585
342    76995
343    153645
344    573
345    31719
346    15717
347    43011
348    33765
349    28149
350    71253
351    127305
352    14727
353    85431
354    10545
355    7785
356    38853
357    70851
358    65385
359    9129
360    162243
361    5049
362    49815
363    26871
364    210447
365    9369
366    74763
367    18669
368    16905
369    49299
370    12543
371    3321
372    138765
373    151839
374    40257
375    26679
376    14223
377    23709
378    22713
379    66039
380    1023
381    67749
382    34683
383    114951
384    126747
385    72609
386    114687
387    1701
388    56817
389    10791
390    39345
391    615
392    108195
393    95151
394    67023
395    21315
396    28065
397    24039
398    19065
399    102795
400    48207
401    28941
402    83337
403    101535
404    22887
405    74085
406    35253
407    79215
408    31635
409    36825
410    50835
411    273429
412    58065
413    86061
414    39513
415    17061
416    32025
417    30705
418    1743
419    71919
420    224415
421    66075
422    84057
423    81651
424    65337
425    237765
426    251475
427    83139
428    36903
429    39039
430    110157
431    66219
432    69477
433    50181
434    54033
435    5415
436    30987
437    102309
438    24693
439    56259
440    25077
441    15255
442    18795
443    3921
444    35793
445    9345
446    18663
447    30849
448    57717
449    69285
450    155463
451    26355
452    258345
453    17631
454    65193
455    2085
456    9063
457    15561
458    4323
459    104661
460    34725
461    92235
462    229227
463    53991
464    63903
465    24351
466    12147
467    33351
468    2565
469    108795
470    5547
471    139935
472    8787
473    184281
474    49053
475    13935
476    33375
477    33315
478    141315
479    53019
480    162897
481    233115
482    143163
483    150939
484    50295
485    27975
486    101055
487    156051
488    7503
489    73671
490    37095
491    37719
492    1995
493    97449
494    39207
495    27261
496    208845
497    99015
498    37755
499    131439
500    52305
501    207945
502    35397
503    66735
504    35877
505    74985
506    103107
507    5565
508    216243
509    107631
510    262035
511    43485
512    51765
513    134115
514    53355
515    87951
516    12045
517    66375
518    366555*
519    83211
520    4257
521    17709
522    80175
523    76089
524    47403
525    5775
526    62337
527    43371
528    43137
529    10365
530    74367
531    104409
532    347457
533    396441*
534    84627
535    278535
536    49893
537    23541
538    2007
539    12711
540    174297
541    8031
542    121065
543    40119
544    330015
545    18801
546    297
547    5979
548    97293
549    157209
550    26853
551    4035
552    29187
553    190485
554    70923
555    67329
556    130227
557    105381
558    80385
559    300561
560    39243
561    112581
562    176205
563    199989
564    117243
565    120069
566    75225
567    28131
568    239247
569    60411
570    25485
571    27909
572    20037
573    14259
574    70107
575    38835
576    247035
577    126615
578    136413
579    404871*
580    88257
581    76569
582    22587
583    28005
584    15177
585    210051
586    83175
587    173355
588    50235
589    133911
590    42777
591    389799
592    86385
593    45315
594    179163
595    257529
596    41625
597    268461
598    147135
599    74229
600    82023
601    135585
602    190695
603    33885
604    113475
605    264849
606    129705
607    368775
608    217143
609    228651
610    86973
611    8781
612    47313
613    94005
614    261075
615    34059
616    79353
617    29919
618    54015
619    18429
620    55203
621    46035
622    87795
623    12285
624    143265
625    104091
626    16323
627    140739
628    137907
629    223569
630    643737*
631    229749
632    506475
633    123891
634    242523
635    52419
636    78033
637    137835
638    227283
639    198459
640    558087
641    664941*
642    394203
643    91629
644    84045
645    274395
646    250923
647    24249
648    78453
649    109809
650    3723
651    205251
652    375843
653    624165
654    61353
655    38835
656    256605
657    21999
658    75447
659    101661
660    50943
661    77505
662    32067
663    374901
664    567573
665    258651
666    249345
667    127041
668    144717
669    58725
670    392013
671    130689
672    15993
673    178689
674    252693
675    376929
676    257613
677    3405
678    169893
679    469755
680    7605
681    217221
682    386127
683    151845
684    24537
685    243879
686    141705
687    246405
688    224625
689    13689
690    46545
691    38229
692    47937
693    152421
694    13197
695    2985
696    96813
697    102789
698    157587
699    436095
700    179865
701    317481
702    169827
703    5355
704    253995
705    330171
706    312387
707    37149
708    270177
709    158115
710    60693
711    25029
712    700005*
713    92529
714    35817
715    629211
716    118413
717    78561
718    86193
719    101361
720    89577
721    119721
722    150567
723    715449*
724    102213
725    20115
726    213
727    35589
728    30933
729    343359
730    308853
731    111285
732    142047
733    597339
734    50025
735    123585
736    5013
737    11175
738    95937
739    140481
740    51975
741    170625
742    58683
743    48075
744    9753
745    9165
746    131937
747    113271
748    42777
749    227871
750    22407
751    1025925
752    140967
753    110775
754    797433*
755    490281
756    490107
757    125169
758    84057
759    133521
760    404775
761    913671*
762    48615
763    242445
764    141243
765    73059
766    988437*
767    315
768    65475
769    484455
770    354417
771    56199
772    743433
773    62391
774    173667
775    125385
776    26775
777    188979
778    410187
779    239271
780    51777
781    88299
782    406707
783    108351
784    364203
785    193515
786    58257
787    17481
788    20997
789    19485
790    116103
791    217809
792    488805
793    98649
794    18495
795    119259
796    212157
797    526701
798    679623
799    95565
800    207663
801    291951
802    353127
803    267795
804    442227
805    72861
806    613383
807    136119
808    142785
809    47055
810    539157
811    70539
812    191085
813    10125
814    105537
815    234315
816    385887
817    64401
818    789453
819    377451
820    125385
821    49041
822    640677
823    268101
824    66975
825    134481
826    515955
827    12285
828    78375
829    1365
830    554925
831    24609
832    524217
833    49539
834    130323
835    155085
836    1175493*
837    62361
838    127905
839    238395
840    916815
841    86679
842    129237
843    122685
844    87303
845    451209
846    61785
847    5265
848    255693
849    163965
850    278427
851    382875
852    53763
853    18885
854    169407
855    157251
856    87495
857    88095
858    63135
859    555039
860    629997
861    37359
862    798315
863    93765
864    722967
865    31575
866    1744257*
867    60681
868    483735
869    399591
870    167967
871    1767711*
872    111027
873    55209
874    75783
875    50565
876    272085
877    31005
878    296043
879    622671
880    4107
881    134511
882    17145
883    430389
884    25833
885    1097925
886    87465
887    895101
888    45675
889    59421
890    910923
891    149091
892    115845
893    248349
894    173283
895    133875
896    11925
897    498981
898    59925
899    68901
900    105177
901    109305
902    1039227
903    23901
904    141615
905    344949
906    24747
907    248781
908    88407
909    179091
910    107457
911    551979
912    313485
913    127689
914    5673
915    136881
916    106413
917    233349
918    163377
919    280929
920    367023
921    94629
922    10533
923    382035
924    773367
925    50595
926    143403
927    80139
928    79623
929    83271
930    424167
931    2035431*
932    116385
933    94335
934    41727
935    390099
936    52953
937    164829
938    165537
939    369381
940    5955
941    202335
942    112053
943    317955
944    164787
945    60729
946    170085
947    27825
948    61425
949    23805
950    13503
951    385695
952    178173
953    21741
954    45243
955    351765
956    232947
957    77805
958    66417
959    399105
960    770193
961    98061
962    312297
963    1170699
964    177255
965    7995
966    82995
967    703701
968    514437
969    77565
970    113745
971    1390269
972    493173
973    16011
974    192255
975    947859
976    68313
977    230439
978    582717
979    262575
980    441357
981    402141
982    626943
983    10485
984    163497
985    411081
986    706773
987    1305255
988    97323
989    349521
990    417375
991    234291
992    56685
993    179445
994    24963
995    219069
996    237675
997    400941
998    330075
999    586899
1000    467343

The value of n=1 should be k=2 instead of k=3, i.e.:
2*2^1-1=3 and 2*2^1+1=5.

Trivial result...the only twin prime for an even k, as shown on my web page.


Gary

Last fiddled with by gd_barnes on 2008-03-06 at 04:54
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Old 2008-03-07, 06:13   #39
robert44444uk
 
robert44444uk's Avatar
 
Jun 2003
Oxford, UK

111010100112 Posts
Default

Gary/ Karsten

Decided to take a break from Very Prime Series and give a hand here. I have two machines (albeit with no CPU power) working on first instance (k) primes up to n=3000.

Results of first instance primes to 1400 show a rather nice curve when plotting ln(k/n) against n. Best fit looks to be logarithmic as well. Would be interested to know if this might be a good way to target large twins. For example, if the extrapolation of the best fit to n=333333, gave A= ln(k/n)= 9, then the first twin would be, on average, at k=2.70103*10^9 then the test might look at n from 333333 to n 333433, say at A=8.999 to 9.001 or k=2.69833*10^9 to 2.70373*10^9. A 50 million k range, sieved to 1T would provide about 4,000 candidates for prime checking or 400,000 overall for a 100 k range.


Mind you I am not sure A= 9 is right for n=333333. But maybe someone could extrapolate and work out the odds of finding a twin in the suggested k/n matrix.

Also the plot of ln(ln(k/n)) looks as if it heading to a value of 2 with over 87% of values between 1.5 and 2 for n from 1 to 1383, and 92% from n=1 to 1383.

Last fiddled with by robert44444uk on 2008-03-07 at 06:25
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Old 2008-03-07, 11:24   #40
robert44444uk
 
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Jun 2003
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Oooer,

Think I am a long way out on my forecast for n=333333, but maybe mathematicians can come to the rescue!!
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Old 2008-03-08, 13:19   #41
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Jun 2003
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Here are the results for 1000 to 2000, with asterisked jumping champions:

Code:
1001	282285
1002	1028307
1003	140691
1004	519915
1005	370605
1006	176877
1007	37275
1008	48225
1009	551679
1010	258483
1011	895221
1012	334137
1013	74091
1014	35523
1015	424125
1016	314217
1017	320931
1018	19887
1019	122595
1020	313023
1021	341871
1022	292215
1023	622485
1024	254697
1025	258621
1026	155925
1027	711885
1028	98493
1029	938931
1030	416883
1031	461889
1032	177
1033	364365
1034	16233
1035	130869
1036	328497
1037	71421
1038	145035
1039	249429
1040	356433
1041	200655
1042	255807
1043	373965
1044	1391775
1045	94065
1046	124743
1047	109809
1048	3885
1049	217365
1050	312147
1051	437955
1052	85845
1053	212265
1054	461175
1055	91755
1056	88515
1057	33405
1058	620595
1059	60099
1060	265593
1061	1063875
1062	126963
1063	122325
1064	243183
1065	290955
1066	90165
1067	85911
1068	193443
1069	132525
1070	70623
1071	2092731*
1072	142443
1073	291231
1074	371997
1075	13131
1076	50025
1077	181521
1078	419145
1079	143781
1080	193347
1081	427611
1082	533187
1083	818961
1084	15315
1085	156615
1086	69417
1087	161289
1088	117225
1089	121719
1090	393687
1091	773475
1092	147417
1093	651939
1094	188793
1095	803589
1096	701433
1097	116805
1098	58287
1099	342189
1100	355065
1101	384981
1102	27435
1103	170115
1104	4275
1105	738375
1106	300135
1107	48681
1108	413103
1109	3525165*
1110	11007
1111	2439999
1112	111765
1113	196455
1114	843003
1115	1041429
1116	175803
1117	819225
1118	528783
1119	155445
1120	121365
1121	465891
1122	60513
1123	831105
1124	1504797
1125	148935
1126	1098363
1127	152835
1128	224973
1129	508131
1130	580923
1131	518091
1132	850785
1133	142125
1134	83205
1135	618735
1136	317793
1137	221979
1138	798135
1139	168195
1140	282873
1141	269745
1142	11007
1143	1057989
1144	162177
1145	1037355
1146	184923
1147	251175
1148	1398117
1149	487785
1150	232755
1151	1617651
1152	336315
1153	827451
1154	729543
1155	256491
1156	1035
1157	312651
1158	1120767
1159	1108365
1160	167013
1161	723411
1162	341427
1163	811269
1164	228093
1165	798891
1166	258117
1167	54339
1168	62823
1169	353679
1170	1053327
1171	300585
1172	1524225
1173	52461
1174	1078677
1175	46791
1176	147063
1177	964179
1178	337287
1179	613029
1180	830835
1181	261855
1182	656877
1183	924855
1184	396843
1185	1647891
1186	320223
1187	1173099
1188	65613
1189	955089
1190	154605
1191	1066371
1192	625365
1193	84435
1194	176085
1195	175785
1196	324915
1197	45201
1198	185157
1199	268191
1200	724545
1201	544929
1202	1055583
1203	2016501
1204	121275
1205	356415
1206	273957
1207	869541
1208	990165
1209	537369
1210	463983
1211	994269
1212	666495
1213	1280439
1214	2475495
1215	364455
1216	130803
1217	14199
1218	1267887
1219	188589
1220	825105
1221	88329
1222	1023483
1223	542151
1224	775365
1225	652335
1226	1653435
1227	662799
1228	79203
1229	42399
1230	3452103
1231	753849
1232	988593
1233	389895
1234	513813
1235	1115085
1236	1392603
1237	74109
1238	252753
1239	3267021
1240	334293
1241	13629
1242	298797
1243	529719
1244	64233
1245	88575
1246	621147
1247	3058299
1248	129315
1249	243819
1250	597465
1251	75705
1252	206655
1253	515679
1254	2396175
1255	763701
1256	53865
1257	187521
1258	635025
1259	484341
1260	147387
1261	32265
1262	2045985
1263	979605
1264	467595
1265	533805
1266	774807
1267	95229
1268	817797
1269	802431
1270	71805
1271	682881
1272	50655
1273	235845
1274	95847
1275	456549
1276	475515
1277	613971
1278	388005
1279	152091
1280	1318815
1281	2160741
1282	99105
1283	3124995
1284	426657
1285	322041
1286	9183
1287	5629461*
1288	1793223
1289	808101
1290	230085
1291	114105
1292	1462605
1293	186921
1294	341367
1295	49119
1296	1186755
1297	764001
1298	248163
1299	3339
1300	264915
1301	275619
1302	734325
1303	633381
1304	205503
1305	190881
1306	499917
1307	163731
1308	1501665
1309	270075
1310	384993
1311	1033569
1312	15657
1313	571581
1314	46965
1315	471795
1316	580623
1317	1627791
1318	438075
1319	304065
1320	1733043
1321	1065
1322	230223
1323	1033569
1324	969387
1325	62265
1326	996987
1327	2625
1328	1553745
1329	1281075
1330	754215
1331	3307209
1332	209853
1333	132225
1334	1143255
1335	480165
1336	1199463
1337	560391
1338	92115
1339	142185
1340	1857213
1341	422385
1342	1224117
1343	117975
1344	1280295
1345	351015
1346	853875
1347	582729
1348	1252053
1349	919881
1350	245325
1351	878415
1352	1236897
1353	263571
1354	38565
1355	62289
1356	998823
1357	158355
1358	1416285
1359	313551
1360	456645
1361	268485
1362	158043
1363	998205
1364	471537
1365	365691
1366	769293
1367	7755
1368	682743
1369	249285
1370	290133
1371	518529
1372	395787
1373	188475
1374	1108203
1375	125601
1376	147777
1377	1157415
1378	2088045
1379	570699
1380	1462017
1381	856821
1382	941577
1383	67821
1384	751497
1385	106449
1386	708885
1387	175905
1388	107205
1389	97899
1390	14877
1391	76479
1392	1984383
1393	370749
1394	88155
1395	870741
1396	1342773
1397	542805
1398	658935
1399	1186401
1400	797373
1401	878385
1402	80103
1403	1414851
1404	761427
1405	891891
1406	18003
1407	2122659
1408	98475
1409	174009
1410	939915
1411	173229
1412	2561475
1413	1041609
1414	893937
1415	207519
1416	726975
1417	2445081
1418	285153
1419	689589
1420	1655163
1421	203949
1422	797955
1423	1522551
1424	136065
1425	86205
1426	232365
1427	1946031
1428	2266035
1429	170379
1430	438645
1431	75519
1432	379317
1433	297591
1434	1132857
1435	2376429
1436	961797
1437	1592955
1438	686343
1439	1993755
1440	10083
1441	74031
1442	702927
1443	613095
1444	316275
1445	1140285
1446	93837
1447	51651
1448	518787
1449	575949
1450	650757
1451	769209
1452	1122567
1453	632541
1454	442635
1455	849261
1456	3351873
1457	515535
1458	611433
1459	113931
1460	1605915
1461	141099
1462	15927
1463	1233519
1464	455445
1465	114681
1466	74505
1467	1252569
1468	85077
1469	571071
1470	273765
1471	81489
1472	131025
1473	330201
1474	1524045
1475	66381
1476	751005
1477	129645
1478	1114995
1479	385971
1480	677613
1481	3420999
1482	1436103
1483	57891
1484	167745
1485	377349
1486	704373
1487	1912131
1488	524727
1489	1231161
1490	3160707
1491	338649
1492	1267167
1493	1246179
1494	471945
1495	187509
1496	521073
1497	1408449
1498	2480883
1499	306939
1500	32547
1501	1778709
1502	652323
1503	2676891
1504	1424085
1505	1327329
1506	910305
1507	323895
1508	132093
1509	86361
1510	2608005
1511	1934409
1512	858315
1513	577179
1514	1200675
1515	3154659
1516	303345
1517	2700279
1518	1270677
1519	937071
1520	3027615
1521	381699
1522	5690025*
1523	133725
1524	187155
1525	1759851
1526	302415
1527	362619
1528	465015
1529	1916355
1530	137427
1531	519765
1532	83973
1533	36045
1534	2798223
1535	263505
1536	1682853
1537	587505
1538	1581567
1539	568809
1540	369837
1541	1562889
1542	318075
1543	442191
1544	606537
1545	135831
1546	657417
1547	286581
1548	583275
1549	3521211
1550	427143
1551	447711
1552	297627
1553	291
1554	1979757
1555	1585425
1556	81255
1557	349395
1558	924657
1559	2046261
1560	108885
1561	1726149
1562	201645
1563	2062539
1564	1439853
1565	882459
1566	42507
1567	601515
1568	1326975
1569	1108371
1570	935943
1571	822555
1572	715995
1573	324129
1574	424617
1575	620055
1576	246045
1577	586755
1578	118893
1579	238509
1580	4894863
1581	763935
1582	285423
1583	682179
1584	849357
1585	339621
1586	566475
1587	1013535
1588	142197
1589	1483749
1590	118773
1591	1408785
1592	1439703
1593	239745
1594	360513
1595	303939
1596	1277775
1597	1704015
1598	937233
1599	15375
1600	2037615
1601	128619
1602	2329245
1603	89895
1604	4199007
1605	1274121
1606	923853
1607	3542361
1608	992037
1609	390621
1610	222783
1611	2597511
1612	3516297
1613	417711
1614	219693
1615	876975
1616	78327
1617	799335
1618	605283
1619	133155
1620	2564265
1621	942615
1622	1283757
1623	33549
1624	832413
1625	65835
1626	501447
1627	1149735
1628	1153323
1629	2937105
1630	166173
1631	2852121
1632	1530903
1633	202551
1634	216573
1635	1623171
1636	264327
1637	4553769
1638	213897
1639	517215
1640	34215
1641	164271
1642	620433
1643	3030975
1644	1387347
1645	2923179
1646	1206135
1647	183855
1648	160587
1649	269541
1650	1873503
1651	884751
1652	33957
1653	323031
1654	682113
1655	876849
1656	1595433
1657	566445
1658	3824937
1659	1813611
1660	20733
1661	589281
1662	260757
1663	1216815
1664	1183377
1665	885909
1666	3120063
1667	2131941
1668	1262193
1669	1022901
1670	960075
1671	552771
1672	56685
1673	1112175
1674	1859853
1675	917541
1676	96897
1677	24969
1678	34725
1679	520719
1680	832947
1681	602331
1682	292407
1683	1367541
1684	3336843
1685	239715
1686	2610675
1687	228111
1688	153513
1689	27765
1690	674133
1691	598875
1692	1520523
1693	747711
1694	401055
1695	570831
1696	592563
1697	1189089
1698	1627455
1699	285861
1700	241455
1701	2189229
1702	5434023
1703	1377975
1704	151827
1705	312405
1706	1362567
1707	1403001
1708	270633
1709	497991
1710	3470667
1711	1458675
1712	635163
1713	213201
1714	1036635
1715	4239039
1716	5862777*
1717	1717869
1718	51747
1719	386061
1720	3976863
1721	45951
1722	1887375
1723	650859
1724	379323
1725	787395
1726	435345
1727	1444089
1728	1652577
1729	174915
1730	3604917
1731	970335
1732	1796067
1733	840315
1734	2362815
1735	1639251
1736	679977
1737	620571
1738	2231685
1739	595581
1740	377787
1741	872055
1742	1824297
1743	967425
1744	1424145
1745	260289
1746	2503953
1747	2776215
1748	645327
1749	2970279
1750	274323
1751	373185
1752	1260717
1753	3720729
1754	1073577
1755	2880981
1756	2120643
1757	41229
1758	1585017
1759	300351
1760	3314793
1761	289095
1762	402687
1763	29481
1764	984987
1765	426105
1766	447465
1767	84159
1768	1820583
1769	285009
1770	1596045
1771	691419
1772	333663
1773	2318871
1774	3654177
1775	1090125
1776	595053
1777	358875
1778	602337
1779	842529
1780	2161035
1781	2065071
1782	219495
1783	851709
1784	2669145
1785	243399
1786	42825
1787	1118181
1788	2421057
1789	428631
1790	383313
1791	113025
1792	1904805
1793	95151
1794	98583
1795	453741
1796	2079255
1797	2800941
1798	1172337
1799	2568609
1800	732567
1801	4073949
1802	3368655
1803	2079045
1804	1003533
1805	674505
1806	1206513
1807	474249
1808	211527
1809	2702121
1810	381687
1811	1009869
1812	994107
1813	948789
1814	153537
1815	2490609
1816	119217
1817	1262079
1818	2999217
1819	5680095
1820	79335
1821	208101
1822	2517873
1823	57495
1824	1047153
1825	2028459
1826	943863
1827	943941
1828	5392107
1829	3421551
1830	2098275
1831	1688079
1832	1186437
1833	4735311
1834	529983
1835	535395
1836	1230183
1837	1388661
1838	434085
1839	584829
1840	2480025
1841	525759
1842	560313
1843	734361
1844	2615235
1845	4198689
1846	1177785
1847	1019379
1848	674847
1849	87585
1850	4155033
1851	317649
1852	626703
1853	4020069
1854	699963
1855	203211
1856	2185443
1857	3799731
1858	29835
1859	1685445
1860	13317
1861	331731
1862	843273
1863	4007301
1864	166353
1865	508911
1866	2739747
1867	475719
1868	1142103
1869	82275
1870	311067
1871	1838235
1872	845973
1873	569451
1874	226293
1875	1002141
1876	3964035
1877	2332491
1878	1327095
1879	1345965
1880	22035
1881	354189
1882	1104123
1883	919335
1884	563217
1885	191505
1886	531717
1887	2096265
1888	800457
1889	3173061
1890	3049323
1891	922749
1892	2294307
1893	849849
1894	249417
1895	417045
1896	4020993
1897	413271
1898	675255
1899	1567515
1900	4425
1901	441531
1902	1436775
1903	435609
1904	3037815
1905	520215
1906	328557
1907	589455
1908	1018797
1909	459291
1910	1456293
1911	4789059
1912	4947147
1913	426615
1914	2018727
1915	2202885
1916	558183
1917	1542735
1918	1434207
1919	164835
1920	588453
1921	1274835
1922	362613
1923	228525
1924	935265
1925	1019949
1926	891273
1927	826575
1928	1216137
1929	1132989
1930	426165
1931	1126005
1932	298965
1933	39171
1934	605973
1935	2497911
1936	101505
1937	485181
1938	2986623
1939	245481
1940	1342107
1941	2349669
1942	2730237
1943	819189
1944	335097
1945	704409
1946	4290147
1947	5837991
1948	1731387
1949	1217601
1950	1105407
1951	928965
1952	491337
1953	197139
1954	8007
1955	396669
1956	616893
1957	700569
1958	1550433
1959	1748631
1960	1373625
1961	2612919
1962	303147
1963	822435
1964	1738983
1965	3094341
1966	63237
1967	1843419
1968	1330095
1969	637341
1970	570597
1971	3885
1972	295503
1973	2244459
1974	3217737
1975	1017381
1976	2980953
1977	4103841
1978	1088085
1979	3564789
1980	3550827
1981	800109
1982	2046087
1983	182319
1984	429777
1985	31545
1986	880317
1987	3175779
1988	207213
1989	103239
1990	2965107
1991	2852079
1992	1963113
1993	1301685
1994	1780785
1995	1314885
1996	284655
1997	2378895
1998	377085
1999	3400089
2000	4605615
robert44444uk is offline   Reply With Quote
Old 2008-03-08, 23:39   #42
kar_bon
 
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Mar 2006
Germany

2,801 Posts
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hey, great work robert!
i will include them here www.rieselprime.org/FirstKTwin.htm when i got time!
thanks!
kar_bon is offline   Reply With Quote
Old 2008-03-17, 12:11   #43
robert44444uk
 
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Jun 2003
Oxford, UK

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Here are first instance twins from n=2000 to n=3000. Now a good way towards n=4000

Code:
n         first k
2001	133641
2002	649683
2003	2930049
2004	1427463
2005	411801
2006	595665
2007	1154619
2008	1100385
2009	934875
2010	667275
2011	954759
2012	606633
2013	2595345
2014	166845
2015	1190745
2016	1527327
2017	4675869
2018	720387
2019	2345859
2020	3118845
2021	2558685
2022	622365
2023	1517451
2024	10095
2025	3632955
2026	773193
2027	2129109
2028	2235525
2029	1885245
2030	111483
2031	1974135
2032	5717397
2033	1332465
2034	852807
2035	1580595
2036	1151973
2037	451959
2038	1018803
2039	181635
2040	615927
2041	3436125
2042	390345
2043	1551489
2044	395835
2045	2897031
2046	689187
2047	3666651
2048	442533
2049	2094795
2050	2451435
2051	243309
2052	260715
2053	1735629
2054	3096345
2055	1001985
2056	1874007
2057	784581
2058	4510305
2059	2444265
2060	329613
2061	357159
2062	7147317*
2063	1119579
2064	2763243
2065	825315
2066	4315755
2067	1284945
2068	1066533
2069	2132229
2070	1902303
2071	176829
2072	2144103
2073	606879
2074	687363
2075	1871289
2076	457005
2077	2539431
2078	1590315
2079	1473615
2080	1370817
2081	2558949
2082	2970705
2083	84609
2084	1662657
2085	2956539
2086	542673
2087	2364531
2088	2206503
2089	1019235
2090	3338835
2091	3359289
2092	1375155
2093	281415
2094	3084393
2095	2336349
2096	189837
2097	123165
2098	1733655
2099	3562065
2100	191823
2101	161511
2102	757173
2103	2760621
2104	1676493
2105	1231005
2106	423327
2107	1070481
2108	8173875*
2109	981171
2110	251235
2111	3498669
2112	59553
2113	661341
2114	3489753
2115	1983459
2116	269877
2117	1766541
2118	374757
2119	2165961
2120	969993
2121	368379
2122	966537
2123	3632469
2124	2199687
2125	927249
2126	1339323
2127	1189311
2128	373077
2129	11655
2130	1796025
2131	1320969
2132	387015
2133	3241005
2134	4231827
2135	403971
2136	794463
2137	358101
2138	40215
2139	808635
2140	1206507
2141	3789009
2142	2047887
2143	723555
2144	215307
2145	557925
2146	2486253
2147	623661
2148	647787
2149	878571
2150	959757
2151	4665759
2152	250977
2153	2285889
2154	4471203
2155	401025
2156	769737
2157	380499
2158	4913103
2159	477075
2160	5649675
2161	1045821
2162	33117
2163	2489541
2164	1547013
2165	1314579
2166	1123593
2167	6311811
2168	2865393
2169	408471
2170	1281513
2171	2061111
2172	467577
2173	2655471
2174	1231593
2175	3716169
2176	1172205
2177	3578565
2178	287103
2179	8715615*
2180	480777
2181	706431
2182	53955
2183	7423941
2184	1803315
2185	66729
2186	810897
2187	1295271
2188	2439885
2189	602595
2190	4485507
2191	4359
2192	1844283
2193	425031
2194	4654305
2195	179745
2196	24405
2197	4499175
2198	895257
2199	6930819
2200	4012377
2201	2984799
2202	903375
2203	1317555
2204	640707
2205	806271
2206	2327703
2207	603495
2208	2644593
2209	1214331
2210	1505997
2211	436515
2212	1612533
2213	6201
2214	1405647
2215	3203205
2216	3028725
2217	879501
2218	863343
2219	416721
2220	13939725*
2221	1566255
2222	3628233
2223	1892385
2224	3047007
2225	976011
2226	923205
2227	6554205
2228	2935587
2229	2972529
2230	2126025
2231	5493585
2232	3593625
2233	2826081
2234	509823
2235	3665961
2236	113685
2237	644385
2238	143427
2239	1264095
2240	2389677
2241	1436769
2242	2657433
2243	823179
2244	3927957
2245	963429
2246	141165
2247	908919
2248	1814997
2249	1636011
2250	1208235
2251	1513965
2252	3355227
2253	75219
2254	7286685
2255	7419
2256	488733
2257	109599
2258	402567
2259	2707365
2260	5754897
2261	538905
2262	2540235
2263	1268265
2264	334863
2265	1755045
2266	619695
2267	812025
2268	1441893
2269	4040391
2270	684123
2271	719925
2272	1486575
2273	378291
2274	1294263
2275	211365
2276	5279163
2277	255999
2278	43947
2279	2458665
2280	25293
2281	3015531
2282	1120767
2283	1025139
2284	11455353
2285	3492885
2286	3932037
2287	3226839
2288	3184605
2289	928329
2290	3743943
2291	1571535
2292	6518367
2293	117705
2294	4774575
2295	2711271
2296	2494323
2297	1601151
2298	965373
2299	1155231
2300	4387947
2301	261609
2302	3444303
2303	545955
2304	3792927
2305	533079
2306	4193055
2307	1764471
2308	848127
2309	2331879
2310	1491345
2311	257319
2312	723477
2313	5870889
2314	470625
2315	2635581
2316	1501227
2317	298599
2318	149955
2319	1017279
2320	1449825
2321	625821
2322	3600657
2323	2401035
2324	825027
2325	2895951
2326	1821477
2327	1671075
2328	143925
2329	1786041
2330	900645
2331	3034155
2332	3049125
2333	43089
2334	2249907
2335	554811
2336	7262457
2337	2613825
2338	1122063
2339	1208025
2340	131373
2341	3225699
2342	1730217
2343	4251891
2344	1293297
2345	4404261
2346	2074233
2347	3894099
2348	1607295
2349	256359
2350	4011873
2351	3974571
2352	2129943
2353	756471
2354	1179975
2355	5739951
2356	3090843
2357	3325329
2358	660993
2359	2272311
2360	2209227
2361	140319
2362	808935
2363	900021
2364	486087
2365	606621
2366	3500433
2367	988899
2368	1419837
2369	410799
2370	231915
2371	1438809
2372	2782503
2373	2746149
2374	420267
2375	403521
2376	194367
2377	2408769
2378	5432883
2379	317145
2380	459807
2381	1413381
2382	1804275
2383	1068699
2384	1526997
2385	2721639
2386	1397865
2387	604989
2388	2572503
2389	699531
2390	1073703
2391	820761
2392	936465
2393	5188569
2394	554055
2395	6620265
2396	1045113
2397	451845
2398	540057
2399	3925809
2400	12123027
2401	753489
2402	2858337
2403	9618801
2404	2873163
2405	687099
2406	6860187
2407	859329
2408	162183
2409	942441
2410	913425
2411	2101551
2412	2205837
2413	591579
2414	684813
2415	650709
2416	708897
2417	4326885
2418	2249355
2419	6996435
2420	399027
2421	1501815
2422	5330073
2423	617295
2424	351237
2425	2331489
2426	1700745
2427	2249355
2428	1426815
2429	379401
2430	3521445
2431	2713935
2432	10912485
2433	3965685
2434	11808915
2435	740181
2436	4112013
2437	1503909
2438	11136945
2439	1511241
2440	1282917
2441	379005
2442	3267045
2443	1231011
2444	1565493
2445	2883729
2446	6014253
2447	1715181
2448	5903835
2449	6606249
2450	1273023
2451	10357665
2452	175245
2453	6871845
2454	3140505
2455	11621685
2456	484047
2457	708795
2458	778317
2459	1261359
2460	331545
2461	2476005
2462	2178705
2463	1972995
2464	4438875
2465	2459565
2466	7927227
2467	1052541
2468	2009427
2469	605901
2470	60957
2471	1469061
2472	1557105
2473	52935
2474	271947
2475	3044661
2476	572223
2477	4678059
2478	2677083
2479	845949
2480	2485287
2481	639159
2482	1859067
2483	4125519
2484	1958313
2485	775749
2486	568767
2487	150111
2488	1874823
2489	804801
2490	4571175
2491	1925415
2492	1934517
2493	1275999
2494	1869555
2495	398385
2496	7484367
2497	766611
2498	56727
2499	1694595
2500	575745
2501	86085
2502	416007
2503	3248349
2504	1706667
2505	562809
2506	244407
2507	1906821
2508	2473527
2509	3935829
2510	1539285
2511	2696031
2512	705795
2513	1694475
2514	3419607
2515	812355
2516	343395
2517	6644109
2518	94815
2519	1857729
2520	4990947
2521	1296699
2522	245895
2523	878481
2524	4332453
2525	2165169
2526	1427127
2527	3986631
2528	6039603
2529	33939
2530	1311975
2531	9119961
2532	2946213
2533	1834041
2534	1990185
2535	207939
2536	2664915
2537	3206295
2538	731673
2539	2443209
2540	2645943
2541	454989
2542	1231077
2543	3092235
2544	5280615
2545	1466271
2546	3537933
2547	4499871
2548	258417
2549	1182471
2550	4024653
2551	1694625
2552	4992807
2553	1204719
2554	106455
2555	4458441
2556	2796033
2557	1669449
2558	2196375
2559	4229589
2560	100995
2561	2443431
2562	260295
2563	903861
2564	3509157
2565	621045
2566	1949103
2567	114201
2568	1097505
2569	79029
2570	780807
2571	886329
2572	712215
2573	4769349
2574	475863
2575	704649
2576	416937
2577	2264481
2578	1247493
2579	1081539
2580	590517
2581	2458455
2582	181287
2583	5741505
2584	3556737
2585	2617089
2586	348873
2587	4053015
2588	1299693
2589	8371671
2590	1045233
2591	372849
2592	2753643
2593	1696365
2594	1162773
2595	671781
2596	6094713
2597	183039
2598	3030753
2599	236049
2600	5675475
2601	2153811
2602	190815
2603	3151935
2604	1817643
2605	1666821
2606	12924117
2607	4004469
2608	2879193
2609	139989
2610	426045
2611	662241
2612	934683
2613	1333929
2614	5152947
2615	2439525
2616	4649697
2617	3453555
2618	5695893
2619	2897379
2620	193845
2621	4290441
2622	1154877
2623	5846175
2624	2032425
2625	1030431
2626	736773
2627	377685
2628	577365
2629	1129701
2630	1323357
2631	3091221
2632	589335
2633	410001
2634	166605
2635	1122171
2636	595365
2637	89115
2638	5478003
2639	3811335
2640	985215
2641	2310279
2642	2835045
2643	4563471
2644	573627
2645	4521171
2646	1888575
2647	1511181
2648	2547693
2649	4619499
2650	3437817
2651	1015815
2652	1216857
2653	1221885
2654	7059063
2655	2516745
2656	2727627
2657	5563359
2658	3372297
2659	1835409
2660	240495
2661	3673761
2662	1500213
2663	1548429
2664	3605595
2665	1573299
2666	968583
2667	7326225
2668	1080345
2669	1259829
2670	2277663
2671	2420439
2672	3083613
2673	11958531
2674	4792023
2675	1161735
2676	4933443
2677	643641
2678	10203777
2679	61269
2680	1436325
2681	2024211
2682	8889465
2683	4113411
2684	4908435
2685	93429
2686	3934047
2687	3287829
2688	7006263
2689	1060011
2690	1041795
2691	398589
2692	7944825
2693	964149
2694	1350795
2695	59415
2696	902343
2697	1074075
2698	6025185
2699	1113525
2700	1925445
2701	1549605
2702	6286287
2703	5440785
2704	2354745
2705	1053399
2706	977427
2707	32811
2708	5547693
2709	5487639
2710	481605
2711	437835
2712	1341195
2713	1060089
2714	1808097
2715	1783239
2716	1843857
2717	16812351*
2718	5734713
2719	2510079
2720	482103
2721	6000501
2722	1479627
2723	2945835
2724	2860125
2725	1531395
2726	792537
2727	3262599
2728	3397107
2729	3935889
2730	2321433
2731	7364859
2732	14301783
2733	3360051
2734	1315497
2735	2263065
2736	14572653
2737	6372735
2738	481545
2739	6473169
2740	340065
2741	2700729
2742	421845
2743	52011
2744	1766127
2745	1049505
2746	1573557
2747	1362159
2748	84255
2749	9000045
2750	2069775
2751	3219225
2752	2133207
2753	2330175
2754	1615203
2755	213255
2756	2106765
2757	11027769
2758	2996775
2759	238881
2760	1667967
2761	5267661
2762	3044367
2763	5110275
2764	7759845
2765	2507301
2766	1068525
2767	292209
2768	11093037
2769	566409
2770	661635
2771	3098649
2772	640455
2773	5088489
2774	2575803
2775	467661
2776	617433
2777	4566309
2778	2330307
2779	556779
2780	14337705
2781	3220305
2782	689613
2783	2996889
2784	5921757
2785	5956461
2786	9335997
2787	4640235
2788	3797235
2789	1327221
2790	4215237
2791	4254195
2792	2704953
2793	630081
2794	1293315
2795	17255511*
2796	727563
2797	139755
2798	5603163
2799	5940429
2800	1967433
2801	2207439
2802	458055
2803	1702281
2804	2313933
2805	288015
2806	3456585
2807	16158471
2808	466455
2809	2227269
2810	1106493
2811	5634765
2812	1217523
2813	3071601
2814	5801007
2815	2203269
2816	2200113
2817	3194055
2818	204357
2819	1695369
2820	2646273
2821	6075
2822	287217
2823	288615
2824	4327503
2825	923289
2826	2103813
2827	20805
2828	909843
2829	1550049
2830	2468193
2831	2106699
2832	1014393
2833	1653951
2834	61947
2835	2778309
2836	6207087
2837	3304581
2838	10169775
2839	884205
2840	1612197
2841	4633191
2842	3495975
2843	4715439
2844	58053
2845	627381
2846	10725
2847	511065
2848	1123515
2849	935529
2850	1309137
2851	323601
2852	815517
2853	3369525
2854	2537325
2855	4427595
2856	4030533
2857	1534119
2858	3585705
2859	1536981
2860	4051923
2861	368595
2862	614187
2863	1922361
2864	3812463
2865	3370299
2866	2223795
2867	36159
2868	705933
2869	1398321
2870	1571097
2871	6877731
2872	512253
2873	6672081
2874	3596667
2875	539421
2876	800757
2877	8503521
2878	1886403
2879	13157931
2880	7072905
2881	3142449
2882	684015
2883	627735
2884	1975953
2885	5101209
2886	2311773
2887	88629
2888	275325
2889	2333019
2890	6826905
2891	3037191
2892	6122265
2893	4464465
2894	980265
2895	2823849
2896	1508925
2897	4519521
2898	1095363
2899	69735
2900	1371135
2901	5099181
2902	157893
2903	696405
2904	9783483
2905	328545
2906	11411613
2907	1678275
2908	2838123
2909	1841685
2910	4322745
2911	3445101
2912	791253
2913	2804205
2914	14275353
2915	6891045
2916	1539597
2917	11005071
2918	12413187
2919	6586779
2920	1629573
2921	1202271
2922	4129863
2923	5256165
2924	1206873
2925	836325
2926	2107245
2927	1020141
2928	1763907
2929	6573231
2930	4244325
2931	757491
2932	2291283
2933	7475019
2934	3297507
2935	8714775
2936	3430953
2937	2713569
2938	1426413
2939	6322515
2940	1538163
2941	2765475
2942	6645657
2943	7253025
2944	2681937
2945	12195
2946	1294725
2947	809979
2948	3103845
2949	4511325
2950	7214457
2951	4022535
2952	5410377
2953	1721469
2954	3229527
2955	3246201
2956	265977
2957	3353631
2958	2484813
2959	4155909
2960	7358085
2961	1303029
2962	4964043
2963	1839639
2964	3869667
2965	1957191
2966	429717
2967	3586251
2968	1604385
2969	3225009
2970	1524735
2971	8492799
2972	1057923
2973	482991
2974	6391455
2975	584529
2976	2337513
2977	1918329
2978	385815
2979	1990299
2980	2580915
2981	561669
2982	149013
2983	1473291
2984	547623
2985	962211
2986	5351445
2987	4388559
2988	4109163
2989	2880939
2990	6570627
2991	4028841
2992	4792815
2993	224025
2994	5546193
2995	1838061
2996	3545457
2997	1325205
2998	4013547
2999	2016735
3000	1298973
robert44444uk is offline   Reply With Quote
Old 2008-03-17, 21:22   #44
kar_bon
 
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Mar 2006
Germany

2,801 Posts
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all data are now available here: www.rieselprime.org/FirstKTwin.htm.
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3x*2^n-1 and 3x*2^n-1 possibly twins ? science_man_88 Riesel Prime Search 10 2010-06-14 00:33
The Twins GP2 Lounge 1 2003-11-18 04:50
NOT twins graeme Puzzles 11 2003-09-04 00:41

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