is 2 349871 - 1
has 105322 decimal digits
takes 0.003 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3D0C0764F4E49E15double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26784.928271.6418%6000000030000000003.095013.2656%88.023375.4037%3.7619%
PrimeNet2400.000052.5000%36001100000.000116.6150%0.000160.3921%7.8921%
GPU722440.000056.8182%65001800000.000212.2808%0.000262.1212%5.3031%
Difference+23+84.9282+14.8236%+59993500+2999820000+3.0948+0.9848%+88.0230+13.2824%+13.2824%

Known prime factors (1 factor, 93.9 bits, 0.02684717% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
349871188748254138628356029088667772993.93026973978143176821747028
22 × 191 × 347 × 24362797 × 4176332053
2016-11-032436279741763320536.736e+93.52235.9739

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.159%
2001-12-22T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.418%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.649%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.357%
2006-01-15T00:00:00Jocelyn Larouchev4_computers349871349871---0.005--1.311%
2011-08-14T06:43:00Jocelyn LaroucheManual testing12965781296578---0.018--2.314%
2012-02-18T16:19:00alpertronManual testing10000000200000000---0.286--8.512%
2016-11-03T18:03:19mikrS052600000003000000000122993.9303.0950.0076.19013.266%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:37:00LordJuliusManual testing254255--0.007--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.027--
2002-02-17T00:00:00ANONYMOUSv4_computers21257--0.055--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.110--
2008-12-31T04:45:00Sturle Sundegolan.ifi258259--0.110--
2009-01-26T20:16:00Sturle Sundegibus.ifi259260--0.219--
2013-05-29T12:35:00lycornasteroid260261--0.439--
2015-07-25T08:48:00NRManual testing261262--0.878--
2015-12-19T22:45:51Gordon SpenceManual testing262263--2.806--
2015-12-19T22:45:51Gordon SpenceManual testing263264--5.612--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.465 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:10.465 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100021.0320.000%
25500002.5517.798%
302500000.23878.858%
3510000000.01898.228%
4030000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.930
250000250000001447.535


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08T00:00:00ANONYMOUSv4_computers3D0C0764F4E49E150.003


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T00:10:37Oliver KruseOllaptop
18874825413862835602908866777
D1FC8A4B77FAA5__no
2017-09-23T17:11:42Oliver KruseManual testing
18874825413862835602908866777
D1FC8A4B77FAA5__no
2017-10-13T04:55:20Oliver KruseGTX-1D1FC8A4B77FAA5__no
2017-12-13T11:27:50ATHxps
18874825413862835602908866777
D1FC8A4B77FAA5__no
2020-04-18T15:14:51Oliver KruseAddPrpType5
18874825413862835602908866777
3742B3BF0FF216__no


P-1 factor-bounds graph:
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1296578 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 349871 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
102
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108
102
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1010
TF factor-bounds graph:
267
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263
262
261
260
259
258
257
256
255
254
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2100
Last modified: 2022-03-07T06:37:00+00:00