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-   -   Small Primes for Octoproths <= 155 (https://www.mersenneforum.org/showthread.php?t=6710)

 ValerieVonck 2006-12-05 17:39

k=152 from 0 to 1000T

[code]
152 done up to 1000T

n=152, 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
95614625675835 152
16693766169885 152
167966368851015 152
86393828985345 152
The sieving is complete.
Number of Prp tests=7991452
Time=3903 sec.
n=152, 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
332561674476675 152
340128988039575 152
312485329355535 152
274639651702605 152
271554160324965 152
272200916875965 152
The sieving is complete.
Number of Prp tests=7980839
Time=3915 sec.
n=152, 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
555295374334365 152
457565187976995 152
504522026157345 152
531032612628945 152
The sieving is complete.
Number of Prp tests=7989729
Time=3909 sec.
n=152, 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
703522956364515 152
684391017575055 152
624040836327195 152
642061442778945 152
662156994939615 152
648815615411775 152
761807701124295 152
623070269081085 152
The sieving is complete.
Number of Prp tests=7987464
Time=3912 sec.
n=152, 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
835128321307455 152
935670498304185 152
961669429878885 152
824160359935815 152
939865704188985 152
The sieving is complete.
Number of Prp tests=7994566
Time=3912 sec.
[/code]

 ValerieVonck 2006-12-05 17:40

k=121 from 0 to 1000T

[code]
121 done up to 1000T

n=121, 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
87233335971705 121
178166661358785 121
98897749721805 121
133357348486725 121
10860421305525 121
50732695327755 121
57675348241875 121
42345744872145 121
100907851340295 121
190874573049315 121
63941423440245 121
96275841385725 121
101753002775775 121
143926485148425 121
137748181109175 121
17630974039965 121
67155139025325 121
89565266972895 121
93807865103415 121
154138647072255 121
11007840039945 121
The sieving is complete.
Number of Prp tests=8182052
Time=4574 sec.
n=121, 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
266725822069455 121
236937132772725 121
207416163668715 121
390902702197545 121
232508105490045 121
211951701562965 121
224600413578255 121
348785963074275 121
301482700682955 121
368494242518325 121
362381514639495 121
254664696308385 121
327173230511205 121
359684115804915 121
365757395613345 121
210002885306115 121
333865613787705 121
The sieving is complete.
Number of Prp tests=8182212
Time=4629 sec.
n=121, 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
550735988809215 121
593470575802455 121
504094897368525 121
420260397562335 121
417912166225575 121
557061436397445 121
531256521915405 121
411869733515505 121
531037026397305 121
566436976028175 121
533063850351495 121
442585190573085 121
420636653887065 121
421687868257635 121
519890701029855 121
475932931097415 121
513657498248895 121
The sieving is complete.
Number of Prp tests=8185162
Time=4597 sec.
n=121, 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
797313394976175 121
691030176184635 121
764259744717105 121
646213734554025 121
616585886925645 121
770959239944895 121
794601285063585 121
712095532518525 121
740327506102185 121
741312238778145 121
673206684380385 121
794004800506455 121
787122624547995 121
728817311980185 121
760053214982775 121
662222754462555 121
664797248309865 121
768064263223005 121
725885888857095 121
620971804339095 121
667609850600055 121
612804190012035 121
776024747003505 121
The sieving is complete.
Number of Prp tests=8180310
Time=4586 sec.
n=121, 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
809764207741125 121
889402566102765 121
955606955254665 121
920998120697985 121
918372323140635 121
908864129144685 121
955396618075515 121
984486590052525 121
967127741102775 121
878187760357545 121
892339656697215 121
993264232986585 121
800517350673195 121
950635226061795 121
864154854027135 121
813526178040225 121
903547725736635 121
894579870765855 121
986915336736945 121
The sieving is complete.
Number of Prp tests=8179742
Time=4585 sec.
[/code]

 ValerieVonck 2006-12-05 17:45

k=145 from 0 to 1000T

[code]
145 done up to 1000T

n=145, 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
74163464017005 145
106753767517125 145
74300238381915 145
147776568931005 145
101959328018925 145
The sieving is complete.
Number of Prp tests=8996977
Time=5021 sec.
n=145, 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
267666507811695 145
319316157825405 145
The sieving is complete.
Number of Prp tests=8998398
Time=5038 sec.
n=145, 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
509084798725125 145
446806878632925 145
550180535874255 145
512932105806765 145
453205248777945 145
555265132241175 145
540508239779955 145
574364815265025 145
590464129714005 145
512873328167325 145
The sieving is complete.
Number of Prp tests=8996121
Time=5024 sec.
n=145, 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
749395281884865 145
691881723656955 145
756221964021945 145
690308529104895 145
719676922949655 145
743277476266515 145
644062954859745 145
710642359934415 145
672416560071165 145
775660863016845 145
722371800308865 145
The sieving is complete.
Number of Prp tests=9003124
Time=5012 sec.
n=145, 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
998310710788845 145
934316388091185 145
842364927024375 145
852002112604005 145
906614396979045 145
The sieving is complete.
Number of Prp tests=9003538
Time=5018 sec.
[/code]

 ValerieVonck 2006-12-05 17:46

k=153 from 0 to 1000T

[code]
153 done up to 1000T

n=153, 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
29905849688505 153
68056538585595 153
179626408806285 153
180834131435475 153
The sieving is complete.
Number of Prp tests=4019309
Time=1894 sec.
n=153, 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
256858662765495 153
The sieving is complete.
Number of Prp tests=4018937
Time=1893 sec.
n=153, 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
503014230370365 153
The sieving is complete.
Number of Prp tests=4017150
Time=1893 sec.
n=153, 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
732409311906195 153
756028461225555 153
The sieving is complete.
Number of Prp tests=4017350
Time=1911 sec.
n=153, 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
988925414153775 153
890208205532205 153
805670751460365 153
842590493041395 153
The sieving is complete.
Number of Prp tests=4015549
Time=1901 sec.
[/code]

 ValerieVonck 2006-12-05 17:47

k=146 from 0 to 1000T

[code]
146 done up to 1000T

n=146, 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
The sieving is complete.
Number of Prp tests=2537874
Time=1406 sec.
n=146, 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
365130319638525 146
316114654394385 146
The sieving is complete.
Number of Prp tests=2536183
Time=1407 sec.
n=146, 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
433394302302675 146
421645237281345 146
545232269623755 146
The sieving is complete.
Number of Prp tests=2535978
Time=1405 sec.
n=146, 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
614682896659755 146
759461559178245 146
The sieving is complete.
Number of Prp tests=2540591
Time=1412 sec.
n=146, 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
897289266683985 146
The sieving is complete.
Number of Prp tests=2535577
Time=1406 sec.
[/code]

 ValerieVonck 2006-12-05 17:48

k=122 from 0 to 1000T

[code]
122 done up to 1000T

n=122, 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
106965669491415 122
40572339761835 122
197690849175645 122
194296495723155 122
189040265825775 122
6770724125445 122
197457127556115 122
22403088766695 122
160704382916595 122
20143163420205 122
118121992952775 122
107603616098055 122
133947762703545 122
71738766748005 122
15958643480955 122
110935305605565 122
62286788046945 122
23749295090325 122
65254832898465 122
161021252277165 122
142239737224935 122
39497000601345 122
157309669382145 122
107488349593065 122
22786904175315 122
92597580956685 122
133354867173045 122
124004154084615 122
59862728473065 122
The sieving is complete.
Number of Prp tests=7637059
Time=3277 sec.
n=122, 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
295491194447085 122
287463446184915 122
239423980546485 122
389625053252085 122
228936660606465 122
368397388415595 122
352089084447765 122
306337652445825 122
219978863368005 122
373539732346515 122
280415191925715 122
249271445496045 122
269898166499325 122
335863162330815 122
299167739216535 122
361232864210505 122
The sieving is complete.
Number of Prp tests=7634528
Time=3256 sec.
n=122, 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
409419147554235 122
421834726352235 122
455329240819425 122
599062403201745 122
582056036634555 122
442300190796345 122
548411663341185 122
466631396584815 122
551953519432035 122
466218512113095 122
447626177142795 122
453103559734035 122
508910915233875 122
409718697776745 122
474245412736095 122
571147819723215 122
438804678563055 122
497936785420725 122
539368262312985 122
524514741431415 122
554028383397825 122
The sieving is complete.
Number of Prp tests=7635777
Time=3403 sec.
n=122, 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
627422156992785 122
778069637976435 122
667790594346435 122
615901649387745 122
645565001971995 122
640718777936265 122
746935098236355 122
682003696690575 122
787354177079295 122
713225104702215 122
650213216231775 122
658752114754545 122
611237132559795 122
724082897267625 122
736056981059295 122
600173357717115 122
The sieving is complete.
Number of Prp tests=7638738
Time=3277 sec.
n=122, 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
912936850366275 122
808409189657265 122
822710571273255 122
882228243237915 122
815757962926095 122
840981960193095 122
828840808918395 122
865875119992155 122
941085974082135 122
885093237050295 122
846012741931875 122
867306957119085 122
993058840768995 122
856806008535015 122
813800173120725 122
981499085061705 122
The sieving is complete.
Number of Prp tests=7640714
Time=3343 sec.
[/code]

 ValerieVonck 2006-12-05 17:49

k=123 from 0 to 1000T

[code]
123 done up to 1000T

n=123, 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
23037698575815 123
14795373071115 123
66189956830515 123
125232494105355 123
The sieving is complete.
Number of Prp tests=2228786
Time=1497 sec.
n=123, 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
342308475514005 123
247946065563735 123
326578731560235 123
The sieving is complete.
Number of Prp tests=2224145
Time=1742 sec.
n=123, 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
532425872973435 123
541302353627595 123
455388004522605 123
465319001766255 123
598658058914475 123
The sieving is complete.
Number of Prp tests=2224407
Time=1388 sec.
n=123, 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
649935128632965 123
655123209370455 123
730190011446105 123
683612257210365 123
783285719398665 123
The sieving is complete.
Number of Prp tests=2227138
Time=1389 sec.
n=123, 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
809598448994895 123
928384271569755 123
931533454454085 123
The sieving is complete.
Number of Prp tests=2224685
Time=1389 sec.
[/code]

 ValerieVonck 2006-12-05 17:49

k=154 from 0 to 1000T

[code]
154 done up to 1000T

n=154, 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
51618124858425 154
196697927335155 154
185986347853515 154
109325715702735 154
116826104139165 154
166666172097165 154
The sieving is complete.
Number of Prp tests=11926649
Time=5767 sec.
n=154, 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
303950915091585 154
318626413491555 154
327747367968405 154
208640093246775 154
303640470235935 154
302657538096675 154
269639132459865 154
The sieving is complete.
Number of Prp tests=11928225
Time=5766 sec.
n=154, 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
530951928433095 154
508621691675475 154
505376590643625 154
414842077257945 154
The sieving is complete.
Number of Prp tests=11924383
Time=5767 sec.
n=154, 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
663126504232815 154
768836031087285 154
The sieving is complete.
Number of Prp tests=11922098
Time=5786 sec.
n=154, 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
929990792615625 154
861249194297415 154
876201685749195 154
801168433600725 154
The sieving is complete.
Number of Prp tests=11920907
Time=5779 sec.
[/code]

 ValerieVonck 2006-12-05 17:50

k=124 from 0 to 1000T

[code]
124 done up to 1000T

n=124, 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
111049638299985 124
96000482410665 124
184266961531485 124
120783438286035 124
164432900716755 124
47922673139895 124
116391437220765 124
170999902670715 124
148174849478235 124
169594221545295 124
15857166234525 124
138652618412685 124
115801886454345 124
163456531541295 124
18814945517745 124
36444423134475 124
17317349329155 124
The sieving is complete.
Number of Prp tests=9514705
Time=4928 sec.
n=124, 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
236621230204065 124
247304708983695 124
310952220934545 124
266141564411715 124
236700896261955 124
229310055407055 124
336417391975335 124
391527816066765 124
248491606994925 124
228013472994315 124
253293933252885 124
321368497228485 124
216096326500215 124
341958441852405 124
382805186707035 124
298478103849225 124
218659940388105 124
303560172647655 124
250245887047065 124
350300147583555 124
240409308401625 124
384445440955815 124
327726324260265 124
The sieving is complete.
Number of Prp tests=9512142
Time=4972 sec.
n=124, 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
518111786062395 124
521244010726725 124
490432433066415 124
419722703900955 124
476354610119205 124
481093998573525 124
418174899312885 124
534221120900475 124
532699214305335 124
405127152202605 124
575568105763365 124
487067628844965 124
536182419300165 124
537650601778095 124
409905850783785 124
518287285439715 124
518909274251445 124
440109313394535 124
509050178642265 124
532192048687005 124
The sieving is complete.
Number of Prp tests=9518210
Time=5173 sec.
n=124, 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
647311781272365 124
749051504005995 124
701302730764845 124
718025333970105 124
694810076091795 124
612244987930815 124
738546349457085 124
650506989047175 124
701562934751925 124
788110493130975 124
770902247174415 124
673018265535855 124
720030852025785 124
752453164391265 124
797006163461325 124
759728462040885 124
719063993245935 124
621747099685005 124
652717971845415 124
651891862891815 124
The sieving is complete.
Number of Prp tests=9512283
Time=6029 sec.
n=124, 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
908727314937105 124
927814529040645 124
862509449346735 124
839956333620195 124
955515765613395 124
820694723764245 124
987789305822565 124
966636761759955 124
991054072943025 124
893773102947795 124
867830979651735 124
963269219828175 124
860515551256815 124
902475304956555 124
911450778376845 124
875619611420715 124
824043000547005 124
880671556815435 124
830827263059625 124
800024844572745 124
992498445857295 124
The sieving is complete.
Number of Prp tests=9516368
Time=5098 sec.
[/code]

 ValerieVonck 2006-12-05 17:51

k=125 from 0 to 1000T

[code]
125 done up to 1000T

n=125, 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
192134277161505 125
143450732515545 125
81016652605665 125
54494945889615 125
21000707492835 125
84598692498705 125
92183413649565 125
145487218159605 125
194365979484075 125
26230498255815 125
28051609645605 125
179766404783805 125
168257937730575 125
22110474424815 125
99870174976425 125
187283559110865 125
113199548447055 125
86575872456675 125
The sieving is complete.
Number of Prp tests=6952999
Time=2762 sec.
n=125, 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
271186814860815 125
382356000371415 125
388894203797715 125
392900510807805 125
326160511451775 125
350507548843305 125
261811467755145 125
344217520775835 125
389090871233925 125
343938462742875 125
391676775876225 125
The sieving is complete.
Number of Prp tests=6954283
Time=2773 sec.
n=125, 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
505502619469155 125
496375895659875 125
542588027217915 125
512645398711845 125
538096503155505 125
449024447347245 125
577158512353185 125
544964894571405 125
421566673891125 125
443062572342915 125
429621455224815 125
511602075280695 125
533445328277715 125
419885938350585 125
582336635211555 125
The sieving is complete.
Number of Prp tests=6951918
Time=2770 sec.
n=125, 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
725504930620155 125
792481668508215 125
698865885573765 125
744107573521095 125
667336411560525 125
634934421178365 125
614634318834375 125
685073225045685 125
719368853348145 125
716291291855685 125
718951259264385 125
625412279205315 125
722064589637685 125
760885660725645 125
The sieving is complete.
Number of Prp tests=6950858
Time=2767 sec.
n=125, 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
839397864430125 125
912566561503905 125
962596925780175 125
874500229236795 125
809426494150365 125
925094367447705 125
896727447639345 125
880546298868915 125
832069141473255 125
859197707101335 125
841124089616265 125
859026864525375 125
833732627270865 125
867744922237515 125
The sieving is complete.
Number of Prp tests=6958532
Time=2771 sec.
[/code]

 ValerieVonck 2006-12-05 19:21

k=126 from 0 to 1000T

[code]
126 done up to 1000T

n=126, 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
62476265995395 126
10208767082535 126
108273731642055 126
39769310437605 126
169179248361375 126
13988965055835 126
103484236985535 126
99391609412865 126
89681940974955 126
The sieving is complete.
Number of Prp tests=5124481
Time=2106 sec.
n=126, 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
210101057285175 126
233757830967255 126
263084955751485 126
351834207714045 126
287637903342195 126
367420824737715 126
215782593172125 126
393415846069575 126
358222958442405 126
283855687787805 126
276954541210095 126
304405041675735 126
394619574309345 126
344892205388115 126
The sieving is complete.
Number of Prp tests=5123045
Time=2114 sec.
n=126, 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
596578000257645 126
484095475718085 126
581034478765335 126
441731281822215 126
420673341425085 126
591757919196465 126
415609599600195 126
451114177863405 126
594942928212885 126
451587691792545 126
The sieving is complete.
Number of Prp tests=5123764
Time=2158 sec.
n=126, 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
762023710316505 126
741222101330655 126
695898610027005 126
681927200699745 126
649196812231275 126
668303201814885 126
The sieving is complete.
Number of Prp tests=5127145
Time=2111 sec.
n=126, 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
885609544808625 126
840254357038845 126
874239223007745 126
958489130764935 126
947339623275045 126
802757678041935 126
862629118308825 126
812184928330545 126
848154239591715 126
923000787662205 126
The sieving is complete.
Number of Prp tests=5124787
Time=2116 sec.
[/code]

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