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

 ValerieVonck 2006-12-03 15:51

k=148 from 0 to 1000T

[code]
148 done up to 1000T

n=148, kmin=0T, kmax=1000T, version=6.0, here T=10^12
Starting the sieve...
Using the first 10 primes to reduce the size of the sieve array
123739605455025 148
796283738246745 148
555455987279115 148
234339347290335 148
753726448599795 148
217130103889665 148
181980316421925 148
28208951228535 148
467164807439175 148
689670614115735 148
64206899254575 148
443285877714945 148
628726873629525 148
253141926045645 148
51384941646675 148
608885035998525 148
599180919829185 148
615788642051835 148
846439907595645 148
807544213507305 148
513917358663015 148
86762642573685 148
428498456981595 148
867363697531365 148
497556135452475 148
241802995102635 148
4767131022555 148
693466085150475 148
122334615781455 148
498320901959595 148
756351699737985 148
819858494928045 148
93409005121125 148
968441497260315 148
329209965249495 148
408573852223965 148
73340338048515 148
The sieving is complete.
Number of Prp tests=47699624
Time=20666 sec
[/code]

 ValerieVonck 2006-12-05 17:25

n=117 from 0 to 1000T

[code]
n=117, 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
101675469892185 117
164507134865535 117
187061407586235 117
55288064058255 117
75152701349985 117
53736022291875 117
166320292485165 117
99296068952745 117
119750793396885 117
19841331779115 117
100185330219975 117
181831529998755 117
156576979134135 117
175333965072525 117
135051658376985 117
14817318083295 117
179485077843435 117
8822382927435 117
182399572394865 117
43176254482515 117
125267524641525 117
157416547794765 117
36104893182645 117
55884756834165 117
71213693101215 117
The sieving is complete.
Number of Prp tests=8893545
Time=3957 sec.
n=117, 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
269112914496615 117
390469864526385 117
378914100250245 117
227786327232345 117
243000830091915 117
386329523158215 117
307957240131345 117
346747513971285 117
304838627971605 117
256350741575355 117
259637354891355 117
363185259597825 117
234703416138555 117
210699297100215 117
219370695006645 117
361948012020945 117
327436218058215 117
399830535213375 117
353782851080085 117
258524650245225 117
251762041315995 117
330937256470485 117
237730633529025 117
256213452174855 117
The sieving is complete.
Number of Prp tests=8893469
Time=4014 sec.
n=117, 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
420060896863965 117
590495818964415 117
492247062850725 117
598135421457315 117
542200688578185 117
482870279776605 117
518001616198185 117
521699613015945 117
453918202250415 117
437075811097485 117
520106516995065 117
504500959401285 117
533657196428475 117
527180142173895 117
421749354217905 117
431867287131105 117
495567220037085 117
507234086562105 117
549455093752215 117
425712632334255 117
596320906090245 117
479470441750125 117
547563754769745 117
478602193059795 117
403483271698605 117
529411392276795 117
586725742065435 117
458908487106405 117
580468446739755 117
514095864371985 117
485435570773125 117
The sieving is complete.
Number of Prp tests=8891297
Time=3950 sec.
n=117, 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
724574189404275 117
660045253293615 117
621414051576045 117
730652371794135 117
753856745962215 117
635582508321915 117
695589823785045 117
693150976819455 117
655273839672165 117
683064077520615 117
690641204637195 117
740777543540475 117
702667706652555 117
690672899578935 117
788579455255305 117
614663169696765 117
752482143538125 117
617726913407415 117
614702454025485 117
617111636226435 117
770731392295515 117
786990401982225 117
781677673898835 117
750771280734195 117
686814796553235 117
612842111872095 117
631638805159635 117
651130876003965 117
739232706375135 117
The sieving is complete.
Number of Prp tests=8891908
Time=4166 sec.
n=117, 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
908029253176395 117
982355767729875 117
996397026350985 117
879046619067435 117
813758715508935 117
886527383934675 117
938332241711655 117
843259655985285 117
938037987878355 117
822750303219495 117
961433310975165 117
854320408063605 117
968454947107935 117
989770369050645 117
960983807248815 117
889907767119945 117
961891135794855 117
838485320621025 117
881724977381325 117
953635624266045 117
987660411146745 117
809562919467225 117
963580892254785 117
986577757783695 117
950503866010335 117
817495711632495 117
The sieving is complete.
Number of Prp tests=8898202
Time=3961 sec[/code]

 ValerieVonck 2006-12-05 17:26

n=149 from 0 to 1000T

[code]
149 done up to 1000T

n=149, 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
169640719682595 149
165652459923405 149
The sieving is complete.
Number of Prp tests=4841302
Time=2354 sec.
n=149, 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
218016644008485 149
346381642728345 149
234265935838935 149
216874306279155 149
303062722750095 149
The sieving is complete.
Number of Prp tests=4844689
Time=2359 sec.
n=149, 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
427402467962925 149
440766668045025 149
470134489236195 149
514350400603725 149
The sieving is complete.
Number of Prp tests=4843747
Time=2349 sec.
n=149, 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
688352482331115 149
The sieving is complete.
Number of Prp tests=4844811
Time=2360 sec.
n=149, 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
961729125801675 149
945046032125055 149
859210439215905 149
809787160777455 149
The sieving is complete.
Number of Prp tests=4845859
Time=2363 sec.[/code]

 ValerieVonck 2006-12-05 17:27

[code]
150 done up to 1000T

n=150, 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
107729773554165 150
47120805449865 150
39172241106705 150
58999888584945 150
34958329919835 150
The sieving is complete.
Number of Prp tests=5033920
Time=2365 sec.
n=150, 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
277095469301175 150
263234040046215 150
283684753042005 150
The sieving is complete.
Number of Prp tests=5036382
Time=2372 sec.
n=150, 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
558623723307195 150
The sieving is complete.
Number of Prp tests=5036329
Time=2364 sec.
n=150, 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
608317408272735 150
725046078641745 150
692201320997865 150
757537046253225 150
The sieving is complete.
Number of Prp tests=5031273
Time=2383 sec.
n=150, 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
901633911978345 150
The sieving is complete.
Number of Prp tests=5038160
Time=2373 sec.
[/code]

 ValerieVonck 2006-12-05 17:29

k=118 from 0 to 1000T

[code]
118 done up to 1000T

n=118, 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
150742085179245 118
34432619074875 118
145648450449195 118
69688053196455 118
120354687961815 118
36573967092585 118
119890007597625 118
34790343535485 118
6935662533645 118
104188103604585 118
15227596760475 118
30361781104005 118
51470829181485 118
68356505872005 118
121358687263065 118
111139257819855 118
90479300279655 118
83786745218175 118
136736280585255 118
59763449055045 118
153145665370125 118
The sieving is complete.
Number of Prp tests=5770220
Time=3164 sec.
n=118, 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
236582854360215 118
276040401123915 118
325674381501435 118
378108351022095 118
263802707875785 118
304059817273785 118
243594751426125 118
268571783000235 118
229000248002085 118
350525429170125 118
368214090384525 118
340686887906925 118
285584960763465 118
282509414906685 118
The sieving is complete.
Number of Prp tests=5768116
Time=2955 sec.
n=118, 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
529359047455875 118
564587878357425 118
410577278797785 118
420971626790715 118
477817700818095 118
457808734520775 118
470359721858235 118
439141675695975 118
517214368429065 118
567387733204005 118
581447049142575 118
492202545871785 118
413044735846995 118
571918542586755 118
497384332803435 118
496593245509395 118
436714675226985 118
556249428877065 118
533457816783585 118
430845141048015 118
555114125059845 118
422202116440545 118
433068761399625 118
The sieving is complete.
Number of Prp tests=5765642
Time=2989 sec.
n=118, 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
703048854932775 118
601878474677745 118
664717271325645 118
605515580775105 118
761872900345635 118
787421504004465 118
761301155185845 118
780434499806655 118
607564826614305 118
658653102326835 118
628188468363435 118
The sieving is complete.
Number of Prp tests=5765994
Time=3063 sec.
n=118, 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
954484110764535 118
875462192685345 118
896135128196385 118
990702189767445 118
915161836810935 118
974881811768865 118
931543820683035 118
841029020389635 118
863075951976525 118
862350910289595 118
968958740574825 118
821361836986965 118
820064794241265 118
938130905849775 118
904888290482175 118
844341351854385 118
931056891606555 118
856634672684055 118
The sieving is complete.
Number of Prp tests=5765402
Time=3046 sec.[/code]

 ValerieVonck 2006-12-05 17:30

k=119 from 0 to 1000T

[code]
119 done up to 1000T

n=119, 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
42991592394135 119
93845390827965 119
116259545981355 119
57954001533645 119
135519391664055 119
49921349544465 119
171227653136925 119
153634351274565 119
61214792208885 119
117611335146375 119
158824629491745 119
81961351769535 119
81684047625705 119
197075716598145 119
30026230413795 119
35993072993115 119
6947969463435 119
187785503308725 119
68851130441415 119
122721371062815 119
72473502078285 119
The sieving is complete.
Number of Prp tests=5779629
Time=2394 sec.
n=119, 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
367248133506345 119
238859096059185 119
286452177277035 119
318240252144675 119
239141795055765 119
242035775535645 119
233561837921265 119
264590041680195 119
200669290227315 119
298892184905475 119
321173143540725 119
347367190603125 119
The sieving is complete.
Number of Prp tests=5778550
Time=2494 sec.
n=119, 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
521352424357695 119
596060208156735 119
591792670283955 119
429974054963145 119
536410327818225 119
409122693283395 119
422609337438435 119
481714898680155 119
524704249933185 119
407392649675865 119
401576451970785 119
441326484733365 119
447871592087535 119
528523250208555 119
533522559258465 119
The sieving is complete.
Number of Prp tests=5779244
Time=2335 sec.
n=119, 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
723844225868925 119
768047194864635 119
730986346053285 119
699375439038675 119
703336235808045 119
710295846640065 119
611411717188965 119
683200108431225 119
668272166666265 119
678620780867505 119
699681198952575 119
631011912730815 119
The sieving is complete.
Number of Prp tests=5781470
Time=2334 sec.
n=119, 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
968213024134125 119
982007079446715 119
876463185626175 119
951216481237785 119
858475666351905 119
858885310078635 119
818041478168145 119
800179334044545 119
831927912439785 119
943154660224455 119
998604406133565 119
868998159839355 119
821451939978285 119
824525287524645 119
945280327793655 119
868477488381195 119
The sieving is complete.
Number of Prp tests=5777530
Time=2334 sec.
[/code]

 ValerieVonck 2006-12-05 17:30

k=120 from 0 to 1000T

[code]
120 done up to 1000T

n=120, 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
43648602449235 120
178097086086465 120
47814447812985 120
159347973299445 120
77103448831185 120
110116739566155 120
113276422447965 120
60803879031735 120
14586865418055 120
178585339948785 120
186624274112115 120
114486976971675 120
104481045428235 120
405777203685 120
174917970011925 120
The sieving is complete.
Number of Prp tests=5441280
Time=2604 sec.
n=120, 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
358399811179095 120
264367324413045 120
256896616616325 120
319587944893455 120
239399924725815 120
216598099602045 120
259581209297865 120
286942882680615 120
284553343307835 120
255165353957745 120
345611220015285 120
350969478445425 120
The sieving is complete.
Number of Prp tests=5441279
Time=2610 sec.
n=120, 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
439959966580995 120
471290906981055 120
430880981348055 120
528858917890065 120
566817515208945 120
555623832208305 120
552823802055525 120
431481149276415 120
523424250739005 120
563450907881715 120
431211946969125 120
516847930743375 120
The sieving is complete.
Number of Prp tests=5442050
Time=2632 sec.
n=120, 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
683220356251125 120
740559045685935 120
674060196334455 120
788005563459345 120
670069321489785 120
777704278926435 120
707502111786855 120
747818160531225 120
724878639891315 120
798785961929025 120
750253673054655 120
600937616179215 120
630998271906765 120
643721709149295 120
767941157747085 120
690984382890585 120
661278463518435 120
790128208788135 120
653615905887105 120
The sieving is complete.
Number of Prp tests=5444115
Time=2611 sec.
n=120, 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
812870111751915 120
845124216010305 120
821593495734795 120
809815126064805 120
851219831768985 120
882253399788075 120
872861203195275 120
955488781061745 120
939483057166815 120
959967452439135 120
986995602805065 120
856185346051035 120
846745417837935 120
The sieving is complete.
Number of Prp tests=5438160
Time=2611 sec.
[/code]

 ValerieVonck 2006-12-05 17:35

k=142 from 0 to 1000T

[code]
142 done up to 1000T

n=142, 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
8444737373415 142
98971179241845 142
94061130075765 142
72371199916365 142
22732824274545 142
129561519558015 142
9532236817845 142
62884450905375 142
81343395359205 142
79985908386405 142
123164198546355 142
The sieving is complete.
Number of Prp tests=16128176
Time=7990 sec.
n=142, 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
374539021751895 142
385132371932595 142
264492454569855 142
279355599789525 142
377875644208665 142
236918226345975 142
282260100181695 142
254365908926865 142
382277781700905 142
261909174409455 142
212467579714545 142
205583828124585 142
298434420374355 142
301901533868115 142
259368214624485 142
The sieving is complete.
Number of Prp tests=16122634
Time=7998 sec.
n=142, 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
446418654005115 142
425168406424845 142
568918540664475 142
536454067786125 142
544989828466005 142
405174863159625 142
494445497259735 142
429915663204495 142
562066529211075 142
459224530005675 142
541021331822145 142
575035430701815 142
543650079741705 142
572021029829535 142
The sieving is complete.
Number of Prp tests=16131809
Time=7994 sec.
n=142, 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
699590462896935 142
679659359398215 142
617803293615795 142
618900020441625 142
777699555591855 142
731197453728825 142
768752243527065 142
636222588910875 142
693119304599085 142
735639290414085 142
683553353229825 142
773673969212325 142
737188697043105 142
741240961763835 142
713465684217915 142
793253751553635 142
622614701936865 142
684244117248705 142
The sieving is complete.
Number of Prp tests=16123984
Time=7976 sec.
n=142, 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
809520376988835 142
918705616860135 142
877470925104285 142
983903703290235 142
934139518699815 142
957402535658505 142
827025950045385 142
993032485780005 142
964100476144455 142
966898540305495 142
The sieving is complete.
Number of Prp tests=16127698
Time=8001 sec.
[/code]

 ValerieVonck 2006-12-05 17:35

k=143 from 0 to 1000T

[code]
143 done up to 1000T

n=143, 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
162627361829625 143
196900929612135 143
159731205033015 143
9334074009855 143
196601133286425 143
198734388383475 143
187036332285495 143
The sieving is complete.
Number of Prp tests=4397274
Time=1902 sec.
n=143, 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
346003248730545 143
288099634509435 143
213569664862575 143
258062669667495 143
The sieving is complete.
Number of Prp tests=4394946
Time=1911 sec.
n=143, 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
519855970382805 143
441533301013035 143
The sieving is complete.
Number of Prp tests=4395945
Time=1910 sec.
n=143, 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
726332842526655 143
695153395470555 143
737914974397545 143
766462417767795 143
665169147769455 143
The sieving is complete.
Number of Prp tests=4394665
Time=1910 sec.
n=143, 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
The sieving is complete.
Number of Prp tests=4393228
Time=1906 sec.
[/code]

 ValerieVonck 2006-12-05 17:38

k=144 from 0 to 1000T

[code]
144 done up to 1000T

n=144, 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
177994441945005 144
111863049686535 144
84678587591745 144
1486857923775 144
169431205657875 144
42868175163135 144
The sieving is complete.
Number of Prp tests=5855549
Time=2795 sec.
n=144, 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
396267605662635 144
204570523940475 144
309649951628325 144
226567278628215 144
The sieving is complete.
Number of Prp tests=5859907
Time=2799 sec.
n=144, 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
404031235432755 144
489570667070415 144
583136761082715 144
563230413502155 144
496734942550245 144
553454109068385 144
497925410652285 144
433923209253765 144
The sieving is complete.
Number of Prp tests=5852250
Time=2795 sec.
n=144, 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
792459406925865 144
794748598919205 144
670174497787935 144
703390844951655 144
The sieving is complete.
Number of Prp tests=5854571
Time=2797 sec.
n=144, 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
809670521561685 144
869538612897885 144
874363230221775 144
844246811279655 144
803536391682255 144
803718271813695 144
984900950828865 144
968601839115225 144
834260242426905 144
The sieving is complete.
Number of Prp tests=5853045
Time=2791 sec.
[/code]

 ValerieVonck 2006-12-05 17:39

k=151 from 0 to 1000T

[code]
151 done up to 1000T

n=151, 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
22354826339175 151
The sieving is complete.
Number of Prp tests=4450906
Time=2989 sec.
n=151, 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
The sieving is complete.
Number of Prp tests=4458945
Time=2996 sec.
n=151, 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
437765381149095 151
502809825939135 151
The sieving is complete.
Number of Prp tests=4454776
Time=2997 sec.
n=151, 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
738460840555515 151
742859213754945 151
640368837265695 151
The sieving is complete.
Number of Prp tests=4452041
Time=2994 sec.
n=151, 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
842779566077085 151
944006448310485 151
968075060384895 151
The sieving is complete.
Number of Prp tests=4457915
Time=2996 sec.[/code]

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