is 2 200401 - 1
has 60327 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
Actual267148.272373.1343%5000000080500000003.248514.0966%151.520876.9215%3.7871%
PrimeNet2400.000055.0000%2200500000.000012.6483%0.000060.6917%5.6917%
GPU722440.000059.0909%3600800000.00018.8683%0.000162.7189%3.6280%
Difference+23+148.2723+14.0434%+49996400+8049920000+3.2485+5.2283%+151.5208+14.2026%+14.2026%

Known prime factors (4 factors, 236.4 bits, 0.11795769% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
200401212825863927.665531
32 × 59
-9599.948e-117.839e-81.225e-7
2004018175122321831239.5722039691
3 × 679897
2008-07-2136798975.451e-70.00020.0005
2004011420393351594182264732166.945354387790378836
22 × 32 × 30517 × 322577753
2015-06-0530517322577753134.330.11770.2195
200401584882110662882244315494713845731102.20614592794214172639964758028
22 × 7 × 11 × 509 × 77898253 × 1194929385383
2021-01-237789825311949293853836.620e+11435.78812.99

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2004011739877463274033489292167.238
200401302296440852494266270456711992994.610
20040111611889394396526847959725318055933106.517
200401124478039955089415713822006746149151339140129.871
2004012471310381422988190619698330058196399741741134.182
200401478148279851917289354836846409935043236163143141.778
20040183076266145193071943542009129876573764388131377216
1
51169.151
20040110176232030144980931156386506139287735067872456625
53
52169.444
20040117680778037168398838005415369819860894889062727313
3950199943
60196.816
20040167915863777785781020071938035197963373404996395380
1958993657463
63208.723
20040114454252319897699074725830534423530930787309606358
6794053915761089365569
72236.388
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-02-23T07:39:37ViliamF3500000008050000000-
skipped known factor: 212825863
skipped known factor: 817512232183
skipped known factor: 142039335159418226473
--3.249--14.097%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:13:00J FeitsmaManual testing??39.572121.79642e-70.0023.72699e-7


ECM factoring results:

Old Calculation Method

Total ECM effort:11.752 GHz-days
Estimated T-Level:28.258
DigitsB1CurvesCompleteFacMiss
2011000698 / 1006.9800.090%
2550000698 / 2802.4938.231%
30250000417 / 6400.65252.097%

New Calculation Method

Total ECM effort:11.752 GHz-days
Estimated T-Level:28.258
DigitsB1CompleteFacMiss
201100043.8150.000%
25500005.8930.276%
302500000.59954.962%
3510000000.04895.320%
4030000000.00399.686%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002481.210
500005000000330.161
250000250000003648.883
2500003125000070.185
2500003375000070.191
25000038500000351.006
2500003850000040.115


Lucas-Lehmer results:
No L-L results for M200401


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:14:21Oliver KruseOllaptopD0C1D45FFFC765__?
2017-09-22T10:02:38Oliver KruseManual testingD0C1D45FFFC765__?
2017-10-12T06:52:21kkmrkkblmbrbkc4.xlargeD0C1D45FFFC765__no
2020-04-17T19:04:43Oliver KruseAddPrpType5
212825863
817512232183
142039335159418226473
E3F05B498BC805__no
2021-01-23T17:10:06MarkSlaptop64
212825863
817512232183
142039335159418226473
5848821106628822443154947138457
E3F05B498BC8054Bno


P-1 factor-bounds graph:
B1 = 50000000, B2 = 8050000000 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
2110
Last modified: 2022-05-19T01:41:10+00:00