is 2 12829 - 1
has 3862 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
Actual2672,316.152379.1045%1000000391036620975060.925913.2611%2,377.078281.8755%2.7710%
PrimeNet2400.000065.0000%500100000.00003.2882%0.000066.1509%1.1509%
GPU722440.000268.1818%500100000.00001.3639%0.000268.6158%0.4340%
Difference+23+2,316.1521+10.9227%+999500+3910366199750+60.9259+11.8972%+2,377.0780+13.2597%+13.2597%

Known prime factors (4 factors, 286.5 bits, 2.23355805% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1282976871369826.1962996
22 × 7 × 107
-71071.149e-93.560e-94.074e-9
12829845196072731136.2993294084
22 × 3 × 277 × 991
2008-08-262779917.173e-79.034e-81.612e-7
128291608118268262641231879561701933732103.665626751215317889637493008692
22 × 61 × 71 × 547 × 2129711461 × 31055527849
2012-08-272129711461310555278491.381e+131.05971.2395
12829173399125043195946251192045211495408137120.38467580920197675557818688925563760
24 × 34 × 5 × 10429154351493141638686562587
2021-09-1581104291543514931416386865625871.339e+131.625e+173.035e+17

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1282964971379184178667371962.495
12829123618252795258483050428351147613466235340129.861
12829135917524482095296936157482682807808683800143139.964
1282913329428125472656523579550397317546557860688945146.579
1282914655625950132740537936368269377252117654863111348156.682
1282910448166178029681463943931293421229017413801809336
9
51166.160
1282911265980303386294968729650637551901477422783968732
303697
56182.878
1282927884630068272145007827118571531849134931508371286
118961609844064297
68224.049
1282921435296874066432513181863199189776701036507697357
24255275807157099034412593
76250.245
1282923567979823232488737468555727450766468958958732946
14644551622584165152600832081
79260.347
1282918117028735762594145262894732219312985681711626160
7568054131619216093002519872605588889
87286.543
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-05T23:25:53Jocelyn LaroucheManual testing10000003910366209750-
skipped known factor: 76871369
skipped known factor: 84519607273
--60.93--13.261%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??36.299113.70698e-91.53416e-52.24772e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:26.075 GHz-days
Estimated T-Level:36.428
DigitsB1CurvesCompleteFacMiss
20110003454 / 10034.5400.000%
25500003454 / 28012.3360.000%
302500003306 / 6405.1660.569%
3510000002761 / 15801.74717.412%
4030000001342 / 47000.28675.159%

New Calculation Method

Total ECM effort:26.075 GHz-days
Estimated T-Level:36.428
DigitsB1CompleteFacMiss
2011000521.7220.000%
2550000111.5990.000%
3025000019.4930.000%
3510000002.7786.218%
4030000000.33271.758%
45110000000.03496.611%
50440000000.00399.682%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000001480.030
250000250000005200.535
50000050000000250.051
10000001000000001,4195.839
30000003000000003424.222
300000052800000092114.18
3000000528000000791.216


Lucas-Lehmer results:
No L-L results for M12829


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:09:46Oliver KruseOliver-PC
76871369
84519607273
16081182682626412318795617019337
16775B8069C883C0no
2017-09-21T19:22:03Oliver KruseManual testing
76871369
84519607273
16081182682626412318795617019337
16775B8069C883C0no
2017-10-02T10:04:56kkmrkkblmbrbkManual testing
76871369
84519607273
16081182682626412318795617019337
16775B8069C883__no
2017-12-07T02:54:40ATHManual testing
76871369
84519607273
16081182682626412318795617019337
16775B8069C883__no
2020-04-17T13:47:44Oliver KruseManual testing
76871369
84519607273
16081182682626412318795617019337
5E8041F4DBA8E9__no
2021-09-15T14:34:27SRJ2877LTOS
76871369
84519607273
16081182682626412318795617019337
1733991250431959462511920452114954081
5E8041F4DBA8E97Cno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 3910366209750 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-05T23:25:53+00:00