is 2 28729 - 1
has 8649 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
Actual2671,034.283077.6119%500000000100000000000.812813.6595%1,035.095880.6700%3.0581%
PrimeNet2400.000062.5000%500100000.00004.0584%0.000064.0219%1.5219%
GPU722440.000165.9091%500100000.00001.7363%0.000166.5010%0.5919%
Difference+23+1,034.2830+11.7028%+499999500+9999990000+0.8128+11.9232%+1,035.0957+14.1690%+14.1690%

Known prime factors (5 factors, 319.7 bits, 1.11298240% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2872946418594471032.11280787
3 × 7 × 3847
-738472.960e-81.727e-73.124e-7
2872915283306281371340.47526599092
22 × 3 × 13 × 167 × 1021
2008-08-2616710217.032e-61.705e-72.715e-7
28729757148990183526791756.0711317743378091
32 × 7 × 2593 × 8066549
2008-08-26259380665490.47230.00040.0007
28729126764191802081338797612373.425220620612973095720
23 × 33 × 5 × 7 × 112 × 23 × 73 × 143644243
2009-04-0412114364424366,5820.00630.0117
2872926355197598393748857962583682232830336117.6664586863030107861195649445452719
3 × 7 × 19 × 41 × 28573 × 9813031164988666735117
2017-12-282857398130311649886667351176.287e+124.270e+117.976e+11

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2872970942959643571774602392272.587
287293514579192869914093939085132788.183
287291157173991760484745870667290233096.547
287295884215612578112167600935995216732105.537
287291937375968821541185085171996143525735113.900
2872953714390254761062789191512013480163028139128.659
2872995979379814376790776838529342327822971939129.496
287298993026943265048407087181129918672338432287944146.012
28729122337122949655735162079080237900509381602844146149.778
2872940279455700227872054344181913110327939082326151148158.141
28729445522790908566012685010396221271102033057630539349161.608
2872914668822583990617911115985774078318718441566510035
03
52169.971
2872919954811247711137385168937576761107329792968377573
737
53173.737
2872918697157196212074794816483820285770889729733615521
86844417
58190.253
2872933408953233445386474320147200334849070015990253366
69175583
58191.090
2872968090612687863800710081144878123051461074918622084
92430642841
61202.083
2872992627429103289800198461310581641833720980434817612
914032543439
62205.849
2872930497549208569635303405946074552245819334162174663
047253244437969
65214.212
2872915507966518104966356438899818430492071897288879865
010168193650282601
68223.202
2872951059926480671244706982434390722061855908628676561
98579018132333178871
70231.565
2872914156533690414633499045960206213290855154253594028
9729934280095786608143143
75246.324
2872925295555203791846533385512809326252683169988079140
9547024396867425669436857
75247.162
2872923701300209742928014435515993963089197716782079111
436122123293555062493892144337
80263.677
2872911741841188983119305256974352691057572248170707203
78242301187338537050245773835438079
85279.274
2872938659971773685351856568186733053451275033569529340
2973677415103656248484589381869045409
87287.637
2872917945415519843469652093002658648422995696876996189
96030142401629447241268770656144718948638628823
97319.749
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-28T07:28:38kkmrkkblmbrbkManual testing5000000001000000000012-
skipped known factor: 4641859447
skipped known factor: 1528330628137
skipped known factor: 75714899018352679
skipped known factor: 12676419180208133879761
--0.813--13.660%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??40.475131.93346e-63.24625e-53.96622e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:19.206 GHz-days
Estimated T-Level:31.617
DigitsB1CurvesCompleteFacMiss
20110001280 / 10012.8000.000%
25500001280 / 2804.5711.026%
302500001119 / 6401.74817.381%
351000000511 / 15800.32372.360%
403000000500 / 47000.10689.907%

New Calculation Method

Total ECM effort:19.206 GHz-days
Estimated T-Level:31.617
DigitsB1CompleteFacMiss
2011000157.4320.000%
255000031.9180.000%
302500005.4980.409%
3510000000.79745.082%
4030000000.09890.623%
45110000000.01198.945%
50440000000.00199.899%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000001610.093
250000250000006081.747
1000000100000000110.126
300000030000000034611.93
30000003000000001545.310


Lucas-Lehmer results:
No L-L results for M28729


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:38:39Oliver KruseOllaptop6605DFB810ED00__?
2017-09-21T20:27:19Oliver KruseManual testing6605DFB810ED00__?
2017-10-02T10:29:35kkmrkkblmbrbkManual testing
4641859447
1528330628137
75714899018352679
12676419180208133879761
6605DFB810ED00__no
2017-12-07T03:12:12ATHxps
4641859447
1528330628137
75714899018352679
12676419180208133879761
6605DFB810ED00__no
2017-12-29T10:42:00Oliver KruseThreadripper
4641859447
1528330628137
75714899018352679
12676419180208133879761
263551975983937488579625836822328303
31CFBFBF1B71E1__no
2017-12-31T02:19:28kkmrkkblmbrbkold
4641859447
1528330628137
75714899018352679
12676419180208133879761
263551975983937488579625836822328303
31CFBFBF1B71E1__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
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109
100
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109
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TF factor-bounds graph:
267
2
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250
260
270
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2100
2110
2120
Last modified: 2018-01-01T12:27:37+00:00