is 2 2112007 - 1
has 635778 decimal digits
takes 0.139 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
Actual26714.069067.1642%500000150000000.12305.1567%14.192068.8574%1.6933%
PrimeNet2580.018262.0690%90001600000.00162.6806%0.019863.0858%1.0168%
GPU722620.290964.5161%100001400000.00161.4530%0.292565.0317%0.5156%
Difference+5+13.7782+2.6481%+490000+14860000+0.1214+3.7037%+13.8995+3.8257%+3.8257%

Known prime factors (3 factors, 200.3 bits, 0.00948290% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21120072387364939201671547.76256518869
3 × 11 × 37 × 41 × 1129
-4111291.351e-59.560e-61.091e-5
211200788023442952941229983432272.8982083881420680453
107 × 19475527296079
2021-10-0410719475527296079846.20101,161188,940
21120079281772249039834043377772479.619219738198051422984
23 × 373 × 73638806317501
2019-09-183737363880631750160,028382,498714,400

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2112007210144081533670207130295990811528328137120.661
211200722158977641012731219002556561534024875939127.381
2112007817013550065550851032975427810035448358330351146152.517
211200719505095042791843761194571093300243362842728376661
24564806337
61200.280
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-20T18:59:40alpertronManual testing5000001500000012-
skipped known factor: 238736493920167
--0.123--5.157%


Trial Factoring results:
No TF results for M2112007


ECM factoring results:

Old Calculation Method

Total ECM effort:1.533 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.533 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.255
500005000000141.192
50000500000010.085


Lucas-Lehmer results:
No L-L results for M2112007


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T04:14:36Oliver KruseGTX-2
238736493920167
600F9D69AC5228__no
2017-11-17T11:41:12kkmrkkblmbrbkc4.xlarge
238736493920167
600F9D69AC5228__no
2019-09-19T10:13:04mnd975202b
238736493920167
928177224903983404337777
4FB970622715712Ano
2019-09-19T11:35:14Igvan28MineOld
238736493920167
928177224903983404337777
4FB970622715712Ano
2021-10-04T09:21:40SRJ2877LTOS
238736493920167
8802344295294122998343
928177224903983404337777
4FB970622715712Ano


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-10-04T09:21:40+00:00