is 2 29201 - 1
has 8791 decimal digits
takes 0.000 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
Actual2671,017.565177.6119%500000000100000000000.812813.6740%1,018.377880.6733%3.0614%
PrimeNet2400.000062.5000%500100000.00004.0753%0.000064.0282%1.5282%
GPU722440.000165.9091%500100000.00001.7447%0.000166.5039%0.5948%
Difference+23+1,017.5650+11.7028%+499999500+9999990000+0.8128+11.9294%+1,018.3777+14.1694%+14.1694%

Known prime factors (6 factors, 358.6 bits, 1.22791751% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29201233609617.8344
22
-445.985e-133.195e-96.502e-9
29201141829841031133.723242851
7 × 34693
2008-08-267346936.134e-81.515e-62.820e-6
292011445456041024011547.0392475011200
27 × 52 × 43 × 17987
2008-08-26128179870.00118.794e-71.462e-6
2920115153890454558846311960.39425947553944315
3 × 5 × 1729836929621
2008-08-29517298369296218.419075.275140.59
292011087180588719637454921982966793096.4571861546845518368300609539
3 × 191 × 491 × 1999 × 3309977651053427
2017-11-14199933099776510534277.683e+11144,036269,020
292011100244809035465221499165937816932103.118188391631970731348498196284
22 × 7 × 83 × 9091 × 8916898574895683201
2017-11-13909189168985748956832015.369e+12388,026,272724,725,019

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2920133132727333177271651.557
29201337671540287577952092064.872
292013540085195199037527632792478.228
2920120500880051428849671313032580.762
29201214927387415611561092750209932994.118
292014789190087934242142865765625273098.596
2920121904282502558165298594016609903133107.433
29201502089720467736011753162837915373734111.952
292012539751701502057862068695188888451135114.290
29201257027089593965994929198655567468192137120.951
292015117037531140110437239249626222853287938125.267
29201154194650069007991470818635232193469393740130.180
2920115604754635958273999732044323816179224740742136.841
29201310668090521403515262805185829173619670419343141.156
292011571471749648839620482003958338384689422627944143.495
2920136021258007970887879506470557957484191592863345148.014
29201159035550582562146552631400124706343105988376946150.156
292013645411125751576430803403142442373812512450186347154.675
2920116475015545780180970792690011410521541533444044948156.851
2920172574861958614553797028656656367420117586982253748158.990
29201367109943963715774901180462703471708911330681091149161.329
292011667298930932045711915133067221362006229926402063950163.512
2920137152135936041760494013668751732524106646838739232
1
51167.990
2920138487119066341622964059095208756005267960863298850
441
53174.685
2920122288158843583088169692815338696384344779723754184
2737
54177.218
2920138949603595610426671478232070051515691336687685974
56151
55181.346
2920122555986857243313135655274007873422818154967936754
724207
56183.880
2920123366488358247817544121582974044231563050789113165
67182247
58190.574
2920152067144992906016442337688984575236503996464864912
339947833
59195.052
2920123647274232358099305361649977530207716367233123332
2800901817
60197.235
2920111961647992229021665284188267203698401969417370315
38117800751
61199.574
2920152692815337337531383072929057053024311263639047373
34367273063
61201.713
2920123813910746612439765559720480742429780344115720448
398232418049
62203.889
2920154586219788819144086646988769834988912127317939375
1942877539423
63208.408
2920124100073119085990821075531888770591410969116546182
39655933454239
64210.551
2920155242160861469432206262296896008542944128329627085
306195872567553
65215.069
2920127943486258166295222053739369131887799856736224620
0588161315640359
66217.408
2920155631438756053854411926407417857582785564085293382
29862676948008841
67221.723
2920156299939812765592297206339290038090889250843472371
2347782958311318551
69228.384
2920116965186331946608181396822917100917069793875045535
511534406592754461353
71233.298
2920133775231754946509429697856247549339921221437513271
2024162198488217275047
72237.613
2920134181095392913423370531818614070286219568331979845
919573948371097614962617
74244.274
2920117290036350970159589898328722794381392964301433803
9875100299239749518703151
75246.613
2920139632202138197151906479304048410281357574773555125
05314041189726776962212977
76251.131
2920178901981150412991213622865001337537496566187960377
723252507026633949406454623
77255.447
2920118126550333023236043728534121207105020157148955825
75434330299348368824901157881
79259.968
2920179850115136431119201665676146143454934671384654798
25425750505023742733801994753
79262.108
2920140391081019137880116365586746032726428289974936495
157182305805098645314724401959
80264.446
2920142345252967472251489393791275210705966538914104214
9864638466900473092816334591422529
84277.802
2920124522431070610190209090099566166100503413168328214
20616727649647910409468691809008553
85280.336
2920125708857521549791273781841228857344567154033820227
972308904956109146302553912772516165743
89293.692
2920157286605999741759245553290695524965725018468399857
9248853129506598702845571624810679057777
90298.170
2920126201131681794216806272237706983358267757760319069
1519053386761861635193680422247208592172281
93307.007
2920160058204967517251896769021476321354069882866867096
36383110977891701558593317008874728963056487
94311.526
2920161208201710522651938964511784906753415726226303774
255074542628051734735960489760748152008774392129
98324.841
2920137161023412349703148069457808838214239716193206024
19892311106051794218637554754794486998904471660248
943
103340.730
2920186811495183356018027173579692648863903258601786661
07086229051736535956217005287127853133270747200790
95325287
108358.564
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-01-04T01:58:22kkmrkkblmbrbkManual testing5000000001000000000012-
skipped known factor: 233609
skipped known factor: 14182984103
skipped known factor: 144545604102401
--0.813--13.674%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-09T09:59:04ATHcolab-Pp11000000001000000000027--0.544


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-10-25T00:00:00GrunwalderGIMPv4_computers??60.394193.1593.29825e-56.478
2009-10-25T00:00:00GrunwalderGIMPv4_computers??80.762255,864,4473.29825e-512,025,219
2008-08-26T19:59:00ANONYMOUSManual testing??33.723112.21473e-83.79202e-55.22124e-8
2008-08-26T19:59:00ANONYMOUSManual testing??47.039150.0003.29825e-50.001


ECM factoring results:

Old Calculation Method

Total ECM effort:47.985 GHz-days
Estimated T-Level:34.114
DigitsB1CurvesCompleteFacMiss
20110002095 / 10020.9500.000%
25500002095 / 2807.4820.056%
302500001969 / 6403.0774.601%
3510000001300 / 15800.82343.909%
4030000001300 / 47000.27775.834%

New Calculation Method

Total ECM effort:47.985 GHz-days
Estimated T-Level:34.114
DigitsB1CompleteFacMiss
2011000319.8150.000%
255000070.3320.000%
3025000012.9300.000%
3510000001.95514.160%
4030000000.24878.056%
45110000000.02797.327%
50440000000.00399.738%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000001260.072
250000250000006691.922
300000030000000038013.10
300000030000000020.069
30000003000000001184.069
300000033900000080028.75


Lucas-Lehmer results:
No L-L results for M29201


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:39:16Oliver KrusePRP
233609
14182984103
144545604102401
1515389045455884631
33D3E10688D95490no
2017-09-21T21:28:59Oliver KruseManual testing
233609
14182984103
144545604102401
1515389045455884631
33D3E10688D95490no
2017-10-02T10:29:36kkmrkkblmbrbkManual testing
233609
14182984103
144545604102401
1515389045455884631
33D3E10688D954__no
2017-11-14T07:58:44kkmrkkblmbrbkc4.xlarge
233609
14182984103
144545604102401
1515389045455884631
11002448090354652214991659378169
7D4A50EE905407__no
2017-11-14T09:09:06kkmrkkblmbrbkc4.xlarge
233609
14182984103
144545604102401
1515389045455884631
108718058871963745492198296679
11002448090354652214991659378169
7D4A50EE905407__no
2017-11-14T18:29:35Oliver KruseGTX-1
233609
14182984103
144545604102401
1515389045455884631
11002448090354652214991659378169
7D4A50EE905407__no
2017-12-10T03:34:15ATHxps
233609
14182984103
144545604102401
1515389045455884631
108718058871963745492198296679
11002448090354652214991659378169
212B74469B8FD2__no
2017-12-10T03:45:35ATHManual testing
233609
14182984103
144545604102401
1515389045455884631
108718058871963745492198296679
11002448090354652214991659378169
7D4A50EE905407__no
2017-12-10T21:06:28-Anonymous-kel1
233609
14182984103
144545604102401
1515389045455884631
108718058871963745492198296679
11002448090354652214991659378169
212B74469B8FD2__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (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
1015
1016
1017
1018
1019
TF factor-bounds graph:
267
2
210
220
230
240
250
260
270
280
290
2100
2110
Last modified: 2021-10-28T03:02:46+00:00