is 2 4225121 - 1
has 1271889 decimal digits
takes 0.527 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1E53DD595572A42Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271113.151467.6056 %1370000098029121190968.229015.8638 %1,081.380472.7446 %
Target2651.726764.6154 %2200022500000.02591.8768 %1.752765.2795 %
Difference+6+111.4246+2.9902 %+13678000+98026871190+968.2031+13.9870%+1,079.6277+7.4651 %

Known prime factors (1 factor, 74.2 bits, 0.00175627% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4225121217639747665670830046732374.2042575544554412416
27 × 20121441831347
2022-11-2512820121441831347905.50198,258370,290

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-14Carsten Kossendeymother25000337500--0.0081.794%
2011-08-13Squeeky_SquirrelT7500_2200500007500006--0.0162.596%
2013-09-19Squeeky_SquirrelP4_260014500034075006--0.0584.394%
2021-05-22Kingfactor16000006000000012--0.8659.346%
2022-04-21DRobinsonPEManual testing1370000098029121190--1,07622.176%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-09-30David Campeauv4_computers212610.036
2011-01-23markroldgamer2612620.073
2012-01-31GrunwalderGIMPManual testing212630.378
2016-02-23Mark RoseManual testing2622630.232
2013-11-26JayderManual testing2632640.465
2013-12-06David CampeauManual testing2642650.884
2015-06-08snme2pm1Manual testing2652661.769
2017-12-29YxinityManual testing2662673.537
2018-11-12chuenkitManual testing2672687.075
2021-01-22ANONYMOUSManual testing26826914.15
2021-01-22ANONYMOUSManual testing26927028.30
2021-01-23ANONYMOUSManual testing27027156.60


ECM factoring results:
Total ECM effort:6.875 GHz-days
Estimated T-Level:3.808
DigitsB1CompleteFacMiss
20110000.76246.695%
25500000.07293.082%
302500000.00599.544%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.994
500003891478564.880


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-02-09ANONYMOUSv4_computers1E53DD595572A42F0.527


PRP results:
dateuseridcompidcofactorsres64
2022-11-26LaurVdebi
21763974766567083004673
C471F9EF097F531C


CERT results:
dateuseridcompid
2022-11-26Dalenew7040


P-1 factor-bounds graph:
B1 = 13700000, B2 = 98029121190 (P-1 stage 2)
B1 = 13700000 (P-1 stage 1)
B1 = 1600000, B2 = 60000000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 145000, B2 = 3407500 (P-1 stage 2)
B1 = 145000 (P-1 stage 1)
B1 = 50000, B2 = 750000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 337500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=3.81 ~= -4-bit
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Last modified: 2024-02-09T03:30:02+00:00