is 2 1081541 - 1
has 325577 decimal digits
takes 0.032 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L74CBC28099058383double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271442.034470.4225%50000001000000000.43735.8802%442.471772.1617%1.7392%
PrimeNet2560.008962.5000%4500650000.00032.0204%0.009263.2576%0.7576%
GPU722600.142065.0000%4500200000.00020.6529%0.142265.2285%0.2285%
Difference+11+441.8924+5.4225%+4995500+99980000+0.4371+5.2273%+442.3295+6.9332%+6.9332%

Known prime factors (1 factor, 70.7 bits, 0.00653798% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
108154119324504162953512726472270.711893378252093703
3 × 11003 × 27064686967
2017-05-121100327064686967353.1663.372118.36

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-03T00:00:00Jocelyn Larouchev4_computers15000172500---0.001--0.368%
2012-01-04T12:54:00bcp19Toshiba-740Q20000010000000---0.032--2.486%
2012-02-06T19:26:00bcp19Toshiba-740Q200000100000000---0.242--3.738%
2014-08-21T02:33:00Jocelyn LaroucheManual testing259345259345---0.011--0.808%
2014-11-06T23:05:00Jocelyn LaroucheManual testing318690318690---0.014--0.904%
2014-11-24T11:45:00BloodIceURM210000001000000---0.043--1.565%
2014-11-24T19:10:00BloodIceURM25000000100000000---0.437--5.880%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-24T00:00:00ANONYMOUSv4_computers21257--0.018--
2016-02-23T16:28:21Mark RoseManual testing257260--0.124--
2009-02-25T19:36:00Sturle Sundeczerny.ifi260261--0.142--
2010-11-16T04:34:00Michael CManual testing261262--0.284--
2012-10-18T21:47:00dbaughManual testing262263--0.908--
2014-02-02T14:51:00lycornManual testing263264--1.815--
2014-02-03T00:40:00lycornManual testing264265--3.455--
2014-02-22T13:30:00Never Odd Or EvenManual testing265266--6.909--
2014-02-22T13:31:00Never Odd Or EvenManual testing266267--13.82--
2014-02-22T13:31:00Never Odd Or EvenManual testing267268--27.64--
2014-02-22T13:31:00Never Odd Or EvenManual testing268269--55.27--
2014-02-22T13:31:00Never Odd Or EvenManual testing269270--110.5--
2014-04-01T16:48:00Never Odd Or EvenManual testing270271--221.1--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.758 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:18.758 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7270.000%
25500001.36925.440%
302500000.11089.563%
3510000000.00799.278%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002468.639
500005000000311.089
500001274659930.166
25000035000000448.865


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-12-13T00:00:00ANONYMOUSv4_computers74CBC280990583830.032
2016-06-01T18:47:41MadPooManual testing74CBC280990583830.032


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T23:40:36Oliver KruseGTX-3
1932450416295351272647
E0526AF9D504EC__no
2017-10-16T08:07:59Oliver KruseThreadripper
1932450416295351272647
E0526AF9D504EC__no
2018-01-02T11:09:11ATHec2-1xf
1932450416295351272647
E0526AF9D504EC__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 100000000 (P-1 stage 2)
B1 = 200000, B2 = 100000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 318690 (P-1 stage 1)
B1 = 259345 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 172500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-04-09T16:09:08+00:00