mersenneforum.org (https://www.mersenneforum.org/index.php)
-   Octoproth Search (https://www.mersenneforum.org/forumdisplay.php?f=63)
-   -   Small Primes for Octoproths <= 155 (https://www.mersenneforum.org/showthread.php?t=6710)

 ValerieVonck 2006-12-05 19:22

k=127 from 0 to 1000T

[code]
127 done up to 1000T

n=127, kmin=0T, kmax=200T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
95431991080635 127
164500227051525 127
119064910316925 127
125065451451045 127
165079614280755 127
122773416409155 127
30671770670715 127
119692519447935 127
103096864365585 127
89158692528255 127
137760145375425 127
113372092267875 127
44348501262885 127
148116587903565 127
24755390572485 127
35543501633535 127
138115362099105 127
100215230072985 127
169714687564395 127
51106930183035 127
39381619729815 127
125851972687875 127
188914977131145 127
62335655468715 127
125075421015195 127
125154622023495 127
61171811056845 127
53289291219555 127
138382719026475 127
The sieving is complete.
Number of Prp tests=13904153
Time=7012 sec.
n=127, kmin=200T, kmax=400T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
358554862251195 127
317657254765005 127
232535733387495 127
236805736699245 127
251356084062825 127
267198804673605 127
281853780440175 127
252117508916385 127
399514298991885 127
255845177507535 127
263704966881915 127
242960686527495 127
324540847197195 127
284431434816255 127
389368972830825 127
349218734556615 127
278503428638085 127
201210453240315 127
388461000197655 127
389980932672765 127
294887184313155 127
212377193046075 127
316669096946775 127
235443897178335 127
270560501637405 127
345822905761185 127
258890096342955 127
366021531724815 127
203503732685505 127
239806743991725 127
265467337557135 127
335457826711545 127
394755915292635 127
The sieving is complete.
Number of Prp tests=13908186
Time=6996 sec.
n=127, kmin=400T, kmax=600T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
499620971347035 127
520180543980825 127
461253240574125 127
554998654262625 127
597499428070455 127
538237931152635 127
532307233139115 127
475284704161665 127
428722549885995 127
456617871881235 127
598388721837465 127
521967813409965 127
446212168657905 127
511870631369175 127
440287938796425 127
561753537368925 127
440418459640095 127
406388547132555 127
573776489617695 127
581437100018685 127
537072656098545 127
492345213460815 127
The sieving is complete.
Number of Prp tests=13918209
Time=7005 sec.
n=127, kmin=600T, kmax=800T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
762025016617215 127
631467510138135 127
725098269379485 127
621199468899855 127
721921440305715 127
732432240928695 127
772898849894865 127
638033857639815 127
680509183789785 127
635067404297325 127
744441591821955 127
622654083607815 127
676042451818635 127
795514934289795 127
794026683579585 127
699455837446365 127
642381768410955 127
641546069230065 127
643323235017945 127
742323599003805 127
798889485794295 127
750790688199525 127
637445464167855 127
The sieving is complete.
Number of Prp tests=13912798
Time=6993 sec.
n=127, kmin=800T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
822717647708775 127
913777688178915 127
896006786130945 127
881798009435715 127
930658472237235 127
909716527479915 127
896210721517545 127
932527124052315 127
889976621890005 127
837102069060795 127
804059586262785 127
814171272188175 127
973279549081035 127
947683235069115 127
946414308289065 127
961807499767395 127
904965683148345 127
872139129935865 127
955571860560975 127
828625772056425 127
906297788599455 127
862931223681345 127
973161870097815 127
929951686024725 127
980879106909135 127
The sieving is complete.
Number of Prp tests=13917328
Time=7002 sec.
[/code]

 ValerieVonck 2006-12-05 19:23

k=147 from 0 to 1000T

[code]
147 done up to 1000T

n=147, kmin=0T, kmax=200T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
184620733926825 147
41530801573065 147
179908452210585 147
29449541980215 147
70333122261045 147
21668337395145 147
The sieving is complete.
Number of Prp tests=7058511
Time=3318 sec.
n=147, kmin=200T, kmax=400T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
282134448320445 147
227685988075665 147
365843414455785 147
261626284833375 147
232882566320145 147
289846659024405 147
The sieving is complete.
Number of Prp tests=7062510
Time=3304 sec.
n=147, kmin=400T, kmax=600T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
416431058665335 147
412842942080415 147
The sieving is complete.
Number of Prp tests=7059175
Time=3315 sec.
n=147, kmin=600T, kmax=800T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
707847352330965 147
677165177369835 147
721521629320065 147
725307761280375 147
716396334915975 147
652041405163785 147
683657259177165 147
699604623806445 147
713037786516615 147
The sieving is complete.
Number of Prp tests=7060951
Time=3299 sec.
n=147, kmin=800T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
984325803227025 147
857029476656325 147
933969303961155 147
865549625515365 147
989957625681675 147
927201170539455 147
The sieving is complete.
Number of Prp tests=7059440
Time=3298 sec.
[/code]

 ValerieVonck 2006-12-05 19:28

k=135 from 0 to 1000T

[code]
135 done up to 1000T

n=135, kmin=0T, kmax=200T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
137365540775085 135
52324121395455 135
193923867640335 135
70950620122935 135
131959383727185 135
66143644820085 135
142374507915885 135
152490212840595 135
The sieving is complete.
Number of Prp tests=5953366
Time=2767 sec.
n=135, kmin=200T, kmax=400T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
235912903007775 135
315210148496775 135
375013997752485 135
234071098897545 135
283586794223355 135
254992314753645 135
380935645024305 135
390685720396965 135
320714205060795 135
346023653382855 135
248724627241545 135
352939570246095 135
283137188624535 135
The sieving is complete.
Number of Prp tests=5948983
Time=2778 sec.
n=135, kmin=400T, kmax=600T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
546692219305155 135
564505584095985 135
598156695234945 135
517763915812605 135
598746209173035 135
409465758927225 135
577886603948115 135
The sieving is complete.
Number of Prp tests=5947573
Time=2766 sec.
n=135, kmin=600T, kmax=800T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
609499357000065 135
725996613310815 135
665239955513595 135
The sieving is complete.
Number of Prp tests=5950356
Time=2781 sec.
n=135, kmin=800T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
887350794302805 135
867744947528445 135
877401834340185 135
916560669249855 135
822588872378805 135
The sieving is complete.
Number of Prp tests=5951384
Time=2769 sec.
[/code]

 ValerieVonck 2006-12-05 19:29

k=136 from 0 to 1000T

[code]
136 done up to 1000T

n=136, kmin=0T, kmax=200T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
168626605338465 136
148093138290525 136
87383767985955 136
169859211520965 136
43732992858225 136
49020296591265 136
196202045727225 136
79521863042985 136
195432464628765 136
The sieving is complete.
Number of Prp tests=5712457
Time=2984 sec.
n=136, kmin=200T, kmax=400T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
278215792471695 136
225888254852415 136
327518272755675 136
326240234726505 136
212583589577325 136
346866328535805 136
234937966562265 136
The sieving is complete.
Number of Prp tests=5706593
Time=2993 sec.
n=136, kmin=400T, kmax=600T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
536626483849455 136
505548817968195 136
498881694939165 136
427937499840885 136
433209194416635 136
595699779442305 136
568288389397695 136
478477258684095 136
474794261117175 136
488025231069585 136
425622814220955 136
475733269832205 136
The sieving is complete.
Number of Prp tests=5700762
Time=2988 sec.
n=136, kmin=600T, kmax=800T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
715816921063245 136
740052066915525 136
The sieving is complete.
Number of Prp tests=5706014
Time=2988 sec.
n=136, kmin=800T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
955276404629295 136
868581662139885 136
939812144417145 136
The sieving is complete.
Number of Prp tests=5705976
Time=2986 sec.
[/code]

 em99010pepe 2006-12-06 12:59

1 Attachment(s)
Done from 101-154 up to 1000T.
Started 80-100.

In the attachment you can find a backup of all work I have done so far.

Carlos

 ValerieVonck 2006-12-08 17:11

k=128 from 0 to 1000T

[code]
128 done up to 1000T

n=128, kmin=0T, kmax=200T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
70201312304025 128
107257499216385 128
119060683617435 128
The sieving is complete.
Number of Prp tests=2173789
Time=1394 sec.
n=128, kmin=200T, kmax=400T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
343181166320475 128
318920940139515 128
248266583083155 128
The sieving is complete.
Number of Prp tests=2171546
Time=1423 sec.
n=128, kmin=400T, kmax=600T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
598669266408675 128
499945764843525 128
The sieving is complete.
Number of Prp tests=2172957
Time=1428 sec.
n=128, kmin=600T, kmax=800T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
607561088170575 128
721414129799265 128
780005771479725 128
The sieving is complete.
Number of Prp tests=2171647
Time=1438 sec.
n=128, kmin=800T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
957088064230935 128
899551524789015 128
938584169584215 128
835447919084415 128
The sieving is complete.
Number of Prp tests=2174843
Time=1436 sec.
[/code]

 ValerieVonck 2006-12-08 17:13

k=134 from 0 to 1000T

[code]
134 done up to 1000T

n=134, kmin=0T, kmax=200T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
73957088574285 134
187127000103435 134
5925199200375 134
186761159443845 134
92667513377985 134
46809452924535 134
128292352075965 134
9900362493945 134
27177792320595 134
94687051497045 134
The sieving is complete.
Number of Prp tests=5836577
Time=2787 sec.
n=134, kmin=200T, kmax=400T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
272419844944695 134
308988350182575 134
323754710857515 134
296128920301515 134
268210637582895 134
272100503639055 134
355799825973585 134
336017969911995 134
The sieving is complete.
Number of Prp tests=5837584
Time=2803 sec.
n=134, kmin=400T, kmax=600T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
515565617781585 134
482223307810545 134
484949729453175 134
448976258058405 134
537080989521615 134
402894421468455 134
460062246803145 134
500937560231955 134
576966735498615 134
522084142370805 134
544742572054695 134
414607829438355 134
591774806742105 134
The sieving is complete.
Number of Prp tests=5846401
Time=2807 sec.
n=134, kmin=600T, kmax=800T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
648871248483465 134
648048306350445 134
640780658548275 134
678258051682365 134
612292205676165 134
The sieving is complete.
Number of Prp tests=5844013
Time=2796 sec.
n=134, kmin=800T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
944443613270325 134
817031045601855 134
806735991317865 134
910482479313015 134
828500983448145 134
921779695362435 134
999368944772205 134
903521565969015 134
932680932750945 134
822666923762985 134
The sieving is complete.
Number of Prp tests=5838413
Time=2811 sec.
[/code]

 ValerieVonck 2006-12-08 17:14

k=139 from 0 to 1000T

[code]
139 done up to 1000T

n=139, kmin=0T, kmax=200T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
37721239300485 139
9744953313285 139
84641704176315 139
40559453930325 139
92263257070725 139
127805748366765 139
94201507277955 139
17577370157985 139
2536458109485 139
43369147100895 139
155194688243265 139
23045861849535 139
133451200330785 139
23195378900595 139
The sieving is complete.
Number of Prp tests=15504923
Time=6908 sec.
n=139, kmin=200T, kmax=400T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
290027452826775 139
281350704011385 139
282645316439955 139
282208528856925 139
326522360339175 139
363493563754335 139
322550446946805 139
226119004335315 139
292366002785325 139
323668833246975 139
360729039034785 139
374853495069045 139
357821257259565 139
334911410623035 139
232222900489965 139
315981113848785 139
392434614482295 139
336399499137885 139
231069331356135 139
The sieving is complete.
Number of Prp tests=15513301
Time=6917 sec.
n=139, kmin=400T, kmax=600T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
501831356919255 139
532887014703135 139
545797220154285 139
573651052567215 139
541206438655245 139
580448037877785 139
490074687380985 139
503539707126555 139
530772661169505 139
556935678658605 139
553734094077585 139
The sieving is complete.
Number of Prp tests=15515316
Time=6920 sec.
n=139, kmin=600T, kmax=800T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
741377134595475 139
769513838298135 139
684153164621025 139
797144372735235 139
738028557140685 139
750656290153575 139
781972301201385 139
651450704359455 139
627109268576505 139
797278491172695 139
715084389214005 139
605033353194795 139
671644428401955 139
679449335686785 139
716607246710685 139
659435029423365 139
707986965755355 139
662586907207155 139
621219245419605 139
791292992614215 139
The sieving is complete.
Number of Prp tests=15509102
Time=6940 sec.
n=139, kmin=800T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
973665853724985 139
943008219930945 139
906581869684245 139
817880597804985 139
814373869567635 139
945757065533475 139
851636418607785 139
852390482857005 139
815252043694425 139
891560295302145 139
853503115803675 139
949182968117175 139
937137071977275 139
The sieving is complete.
Number of Prp tests=15510793
Time=6953 sec.
[/code]

 ValerieVonck 2006-12-08 17:19

k=129 from 0 to 1000T

[code]
129 done up to 1000T

n=129, kmin=0T, kmax=200T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
80941892435775 129
187069869407505 129
182679411621315 129
54384323894145 129
4473550622625 129
164877336712095 129
113791979076405 129
118576430701575 129
111356478023805 129
43397506935615 129
8079681210615 129
75447934766505 129
100423201657695 129
190121265231345 129
31204637915535 129
164819200696395 129
13157995663365 129
The sieving is complete.
Number of Prp tests=5242340
Time=2357 sec.
n=129, kmin=200T, kmax=400T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
254796850010535 129
221340112115955 129
215664238833435 129
341393594958045 129
394724187514125 129
343761975190935 129
353707918066965 129
274283084832225 129
The sieving is complete.
Number of Prp tests=5243501
Time=2407 sec.
n=129, kmin=400T, kmax=600T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
592868905357575 129
528636066495705 129
563656786723485 129
477389233473705 129
441812630538195 129
437757950190015 129
The sieving is complete.
Number of Prp tests=5248765
Time=2415 sec.
n=129, kmin=600T, kmax=800T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
724053746529645 129
768312036045855 129
669214633898055 129
694521455576865 129
616067583428745 129
The sieving is complete.
Number of Prp tests=5244400
Time=2430 sec.
n=129, kmin=800T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
912264894311925 129
959035912354065 129
872161769370045 129
866974437633675 129
864290269004085 129
991851886228665 129
890243375031465 129
The sieving is complete.
Number of Prp tests=5249376
Time=2534 sec.
[/code]

 ValerieVonck 2006-12-08 17:20

k=130 from 0 to 1000T

[code]
130 done up to 1000T

n=130, kmin=0T, kmax=200T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
17880671750235 130
152979247091685 130
18469196956965 130
11537263184175 130
50033281765845 130
44645389448205 130
83674372909035 130
192703206997755 130
96267526878795 130
7076113724805 130
79411544132565 130
54150293873775 130
167620239736425 130
175649804089005 130
27016634076615 130
146364412690665 130
85068311582415 130
13331684766015 130
60731805248925 130
182120210195685 130
110960281727625 130
107389905633135 130
3408331609305 130
17740265302005 130
92049616074585 130
127005594181935 130
74761706016375 130
92242821768735 130
155945876080695 130
1075252753275 130
64650260977665 130
26131722821625 130
39712281712095 130
37148954952465 130
166242093123315 130
189368123434035 130
66243169499415 130
80888779644945 130
36865863883185 130
136844711842215 130
The sieving is complete.
Number of Prp tests=15218366
Time=7452 sec.
n=130, kmin=200T, kmax=400T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
329908625365935 130
291592656730185 130
332074658191515 130
386556176402565 130
380124421809315 130
232278773028225 130
375591637119945 130
279194999615715 130
267915649124655 130
374380479103275 130
390912566844675 130
383322515660505 130
201665586727275 130
328739536421505 130
243089962546185 130
395107681974075 130
379443670173945 130
363245798376915 130
217120639213815 130
295488715009125 130
274136287118595 130
244833485798355 130
The sieving is complete.
Number of Prp tests=15223244
Time=6911 sec.
n=130, kmin=400T, kmax=600T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
441531360146085 130
591186077135445 130
499892469228075 130
526794144539655 130
414377210150175 130
539582736724695 130
525354343294425 130
430728842033685 130
414242955741315 130
586946735651745 130
444600107366415 130
455558210987355 130
569684533293975 130
400733857897905 130
579324163633515 130
400212940176405 130
499482132559215 130
405104935684155 130
456925617576765 130
462814384589565 130
507402395721675 130
577261251650175 130
The sieving is complete.
Number of Prp tests=15223495
Time=6912 sec.
n=130, kmin=600T, kmax=800T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
638147565930945 130
728762763297855 130
697482043502145 130
640969948719555 130
749686235367615 130
761090296792665 130
699881685899865 130
723169252318785 130
609785215473525 130
653081521622145 130
634951884276255 130
714710712075555 130
601379538638325 130
746783665993365 130
657884729996025 130
675161944072785 130
700309647711765 130
690626764241505 130
705216154492395 130
791133915550425 130
692771377453485 130
643447105848555 130
676766031948915 130
The sieving is complete.
Number of Prp tests=15235977
Time=6940 sec.
n=130, kmin=800T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
892544383781805 130
924885496451385 130
837344307700425 130
942780468432795 130
894066376672755 130
861862263396225 130
944058159771195 130
980144330826375 130
977388019148835 130
990878898113775 130
971005568778435 130
978793754242065 130
834432368895195 130
844908668220735 130
876035928444405 130
879978427764015 130
919101566850585 130
908004481335615 130
916511235635835 130
The sieving is complete.
Number of Prp tests=15221777
Time=6943 sec.
[/code]

 ValerieVonck 2006-12-08 17:21

k=138 from 0 to 1000T

[code]
138 done up to 1000T

n=138, kmin=0T, kmax=200T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
75783835007265 138
166073838454755 138
124973886246825 138
The sieving is complete.
Number of Prp tests=2254283
Time=1390 sec.
n=138, kmin=200T, kmax=400T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
310791194577885 138
344150170320705 138
The sieving is complete.
Number of Prp tests=2256540
Time=1396 sec.
n=138, kmin=400T, kmax=600T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
573698563590285 138
406253828429085 138
The sieving is complete.
Number of Prp tests=2255060
Time=1394 sec.
n=138, kmin=600T, kmax=800T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
780882690725445 138
680877811340055 138
The sieving is complete.
Number of Prp tests=2256593
Time=1387 sec.
n=138, kmin=800T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 9 primes to reduce the size of the sieve array
914189360257845 138
915224971628835 138
958942529891325 138
997097472364245 138
853689614361255 138
The sieving is complete.
Number of Prp tests=2257590
Time=1396 sec.
[/code]

All times are UTC. The time now is 01:28.