is 2 214069 - 1
has 64442 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267138.805373.1343%30000000100708329922203,668.770323.2122%3,807.575679.3704%6.2361%
PrimeNet2400.000055.0000%2200550000.000013.0136%0.000060.8561%5.8561%
GPU722440.000059.0909%4000900000.00019.3479%0.000162.9150%3.8241%
Difference+23+138.8053+14.0434%+29996000+10070832902220+3,668.7703+13.8643%+3,807.5756+16.4554%+16.4554%

Known prime factors (5 factors, 406.4 bits, 0.18985608% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214069610675543952571445.795142635212
22 × 521 × 68443
-521684433.115e-52.823e-54.657e-5
21406914448417433665672954712270.2913374710358264315
5 × 7 × 43 × 2242332463963
2014-07-284322423324639631,226.2816.831,525.6
2140691926640341479896913492392477.350450004517580755951
11 × 2963 × 96487 × 143094761
2016-03-1896487143094761265,8800.05270.0974
21406973809253223691613625822499772892.57617239594061655731008652
22 × 19 × 4889 × 176321 × 406501 × 647333
2016-10-184065016473335.022e+90.00280.0055
214069176594700995842428043872560239603204937120.4104124714484484965783085653696696
23 × 32 × 72 × 29 × 31 × 757 × 68687 × 3287507 × 7607965061
2021-12-03328750776079650617.033e+112.79225.1762

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2140698823295175557580306864853743998104735116.087
2140691176552138534201261314494692503215942338123.146
21406945073505861110856958787274260211863715908942138.371
21406927836903898241727952722746941305558516399656945147.642
2140691066426901043030182605587533656655450185894195416750162.867
21406910784206508977752981573992522887158196428658559159
3
51166.205
21406914220388483526939256412274940017968992878495067175
03
52169.926
21406925515139565613065142681677966977708153652201526637
68550079
58190.701
21406916999316430014183509135364612758468129800070758388
017873233
59193.437
21406934023447503017014709573086429659408376214339921279
4695760711
60197.760
21406965124082788010599625461558299441335954150067091021
8617496185919
63208.663
21406913034323003764239343154121144806718031954123964508
891543421512873
65212.986
21406986840434723946756432908387583414063840961548317162
009674302083271
65215.722
21406915581471733256499179917543631599533976631041056349
3751656874202564575303
72236.497
21406920546210887888919049643260409524330190319375041935
88002736825521528328913
73240.218
21406920777287311046624983956449555516225455504102952744
411116932383133185347727
74243.556
21406979597422903772229685583077339009453431200113988143
1993647927526911779555643361
78258.781
21406949158497205599984425416712177903177320168707441594
7258827569214203851100250039881
81268.052
21406918832533972361675665417273681021233566177819150924
207975410191606926344574614821098183
86283.277
21406912547068510125781869800289625995353278985168906547
3683905928253522258833587111503165641
87286.013
21406925112452522931609750669388122382009838971369967025
28204069066957999693228560777977253647
88290.336
21406930019892020920662812921270874634932930724539888377
105662028625359539768971050298266651087244417
95313.847
21406911500567927577220165421141315343782992885862602680
44484582442219843027425311783794142159997186518031
100329.073
21406915335560604424349636123086705308523355582615028376
01409441619565429891968366543978491952808247827522
79
102336.132
21406936283519683442658305927884946085210643474527619231
70833415031604853681209903408528932370321456288336
961332737
109360.628
21406922157458119200125815192944280769837097065575663197
35150402641810442339864242132091074296318737511428
04804542031040791628409
123406.423
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-17T16:48:36kkmrkkblmbrbkManual testing500000050000002892.5760.0330.0020.0673.480%
2021-05-23T22:08:23Oliver KruseOllaptop300000003000000000-
skipped known factor: 61067554395257
skipped known factor: 192664034147989691349239
skipped known factor: 7380925322369161362582249977
--1.282--12.422%
2022-02-24T04:16:45Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 61067554395257
skipped known factor: 1444841743366567295471
skipped known factor: 192664034147989691349239
skipped known factor: 7380925322369161362582249977
skipped known factor: 1765947009958424280438725602396032049
--3,669--23.212%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-03T17:51:08fbaurubuntu1500000001275000000027P-137120.4106.023


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2022-05-05T19:37:27LordJuliusManual testing2125845.795143.11469e-50.0026.46858e-5
2022-05-05T19:37:27LordJuliusManual testing258259--0.179--
2022-05-05T19:37:27LordJuliusManual testing259260--0.359--
2022-05-05T19:37:27LordJuliusManual testing260261--0.717--
2022-05-05T19:37:27LordJuliusManual testing261262--1.435--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.841 GHz-days
Estimated T-Level:27.500
DigitsB1CurvesCompleteFacMiss
2011000528 / 1005.2800.496%
2550000528 / 2801.88615.121%
30250000320 / 6400.50060.629%

New Calculation Method

Total ECM effort:8.841 GHz-days
Estimated T-Level:27.500
DigitsB1CompleteFacMiss
201100033.3760.000%
25500004.4621.154%
302500000.45363.542%
3510000000.03696.432%
4030000000.00299.762%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002081.017
250000250000003207.824


Lucas-Lehmer results:
No L-L results for M214069


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:22:31Oliver KruseDoppelherz
61067554395257
1444841743366567295471
192664034147989691349239
7380925322369161362582249977
CDA472047C0FD5A1no
2017-09-22T10:02:36Oliver KruseManual testing
61067554395257
1444841743366567295471
192664034147989691349239
7380925322369161362582249977
CDA472047C0FD5A1no
2017-10-12T09:46:05kkmrkkblmbrbkc4.xlargeCDA472047C0FD5__no
2020-04-17T19:11:32Oliver KruseAddPrpType5
61067554395257
1444841743366567295471
192664034147989691349239
7380925322369161362582249977
CCC2A0157D2CC4__no
2021-12-03T19:00:03SRJ2877LTOS
61067554395257
1444841743366567295471
192664034147989691349239
7380925322369161362582249977
1765947009958424280438725602396032049
CCC2A0157D2CC456no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 150000000, B2 = 12750000000 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 150000000 (P-1 stage 1)
B1 = 30000000 (P-1 stage 1)
B1 = 5000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
262
261
260
259
258
240
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-05-05T19:37:27+00:00