is 2 1912139 - 1
has 575612 decimal digits
takes 0.104 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
Actual26715.539668.6567%20000002620000001.27169.2384%16.811271.5523%2.8956%
PrimeNet2570.010063.1579%90001600000.00143.0416%0.011464.2785%1.1206%
GPU722610.160665.5738%100001700000.00151.7601%0.162166.1797%0.6059%
Difference+6+15.3790+3.0829%+1990000+261830000+1.2701+7.4782%+16.6491+5.3726%+5.3726%

Known prime factors (4 factors, 253.3 bits, 0.01324485% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
191213934303773671031.676897
3 × 13 × 23
-13231.787e-101.065e-62.081e-6
19121395501913993965111548.967143868045
3 × 5 × 199 × 48197
2008-08-26199481972.489e-50.00020.0004
191213933241894959711466520521912581.459869233224146138605
5 × 13 × 483337 × 27667691141
2022-01-0648333727667691141310,723118.61221.47
191213927623765599678367137427412492891.158722326295307986687616
27 × 3 × 43019 × 2493749 × 17534329
2020-12-01249374917534329427,798,4450.26060.3992

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
191213918873641240078487931665372580.643
19121391140322441059855916023766010916109735113.135
1912139947599403044498531077475744110691138337122.834
1912139182894047064754774136377651745707530560140130.426
1912139151983582518882416870708823708516542638223943140.125
1912139627395599609967560602626867913083152234827873256749162.102
191213952136104162835109296753851409688815301125373563847
13
52171.801
191213991826631445619930896191556397042061741955957565265
59
52172.617
191213931499999819890510223039954156091715434662231114269
950527990153
62204.293
191213950522222856933291663193160605655781630198670232582
80745882143435649
67221.584
191213917331028981895404275022760509083760549692788207934
868866005983291097950556183
77253.260
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:42:04alpertronManual testing5000001500000012-
skipped known factor: 3430377367
skipped known factor: 550191399396511
--0.101--5.095%
2021-04-07T12:58:51Dylan Delgadodesktoplinux100000071000000-
skipped known factor: 3430377367
skipped known factor: 550191399396511
--0.379--7.166%
2021-07-03T23:27:47Dylan Delgadolaptop-i787502000000262000000-
skipped known factor: 3430377367
skipped known factor: 550191399396511
--1.272--9.238%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:20:00ANONYMOUSManual testing??48.967155.28459e-60.2211.12636e-5


ECM factoring results:

Old Calculation Method

Total ECM effort:19.890 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.890 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8130.015%
25500000.79845.033%
302500000.04995.185%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000322.221
50000500000020.139
50000620896170.533
5000066000001048.146
5000066000001138.851


Lucas-Lehmer results:
No L-L results for M1912139


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T21:15:34Oliver KruseGTX-2
3430377367
550191399396511
8D1D1CF4B3601B__no
2017-11-09T22:02:32kkmrkkblmbrbkold
3430377367
550191399396511
8D1D1CF4B3601B__no
2020-12-01T22:50:24Oliver KruseThreadripper-PC
3430377367
550191399396511
2762376559967836713742741249
03E4D8B52AB30D__no
2022-01-09T21:39:20SRJ2877LTOS
3430377367
550191399396511
3324189495971146652052191
2762376559967836713742741249
03E4D8B52AB30DF2no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 262000000 (P-1 stage 2)
B1 = 1000000, B2 = 71000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
100
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103
104
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107
100
101
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104
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1010
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TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2022-01-09T21:39:20+00:00