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
factored, 0 LL tests remaining
ResidueStatus
L-L74CBC28099058383double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271442.034470.4225 %50000001000000000.43735.8802 %442.471772.1617 %
Target2600.142065.0000 %45001000000.00040.6529 %0.142465.2285 %
Difference+11+441.8924+5.4225 %+4995500+99900000+0.4369+5.2273%+442.3293+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:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-03-03Jossv4_computers15000172500--0.0012.057%
2012-01-04bcp19Toshiba-740Q2000001000000012--0.0327.842%
2012-02-06bcp19Toshiba-740Q20000010000000012--0.24210.885%
2014-08-21JossManual testing259345259345--0.0113.204%
2014-11-06JossManual testing318690318690--0.0143.468%
2014-11-24BloodIceURM210000001000000--0.0435.124%
2014-11-24BloodIceURM2500000010000000012--0.43713.703%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-24ANONYMOUSv4_computers212570.018
2016-02-23Mark RoseManual testing2572600.124
2009-02-25Sturle Sundeczerny.ifi2602610.142
2010-11-16Michael CManual testing2612620.284
2012-10-18dbaughManual testing2622630.908
2014-02-02lycornManual testing2632655.270
2014-02-22Never Odd Or EvenManual testing265270214.2
2014-04-01Never Odd Or EvenManual testing270271221.1


ECM factoring results:
Total ECM effort:18.655 GHz-days
Estimated T-Level:25.687
DigitsB1CompleteFacMiss
201100015.1970.000%
25500001.66618.897%
302500000.13787.162%
3510000000.00999.075%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002468.536
500005000000311.089
500001274659930.166
25000035000000448.865


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


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
1932450416295351272647
E0526AF9D504EC45
2017-10-16Oliver KruseThreadripper-PC
1932450416295351272647
E0526AF9D504EC45
2018-01-02ATHec2-1xh
1932450416295351272647
E0526AF9D504EC45


CERT results:
No CERT results for M1081541


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)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
271
270
265
263
262
261
260
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.69 ~= 69-bit
250
260
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Last modified: 2024-03-13T02:15:48+00:00