is 2 5228147 - 1
has 1573830 decimal digits
takes 0.826 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4CB98FB16AA67FB6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27191.443267.6056 %80000004000000006.72228.8010 %98.165470.4567 %
Target2662.824865.1515 %3000030000000.04391.9891 %2.868765.8447 %
Difference+5+88.6184+2.4541 %+7970000+397000000+6.6783+6.8119%+95.2966+4.6120 %

Known prime factors (1 factor, 122.0 bits, 0.00233406% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5228147542175434487123759417048988957628939937122.028518515866603524881202698574617
7 × 61 × 157 × 9323 × 808517 × 2614841 × 392413913
2021-09-1126148413924139132.848e+105.46169.1435

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-06-03ANONYMOUSv4_computers25000350000--0.0101.638%
2010-06-15Squeeky_SquirrelP4_2600600009750006--0.0282.626%
2019-01-22USAFSSP4_2600315000921375012--0.1835.485%
2021-09-11axnManual testing8000000400000000237122.0286.72212.554%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-09-29David Campeauv4_computers212620.059
2009-06-14GrunwalderGIMPManual testing2622630.188
2014-12-22VictordeHollanderManual testing2632651.090
2015-01-31NumberwangManual testing2652661.429
2016-06-01Gordon SpenceManual testing2662672.859
2018-06-17ramgeisManual testing2672685.717
2020-11-02TJAOIManual testing26826911.43
2021-08-18SRBaseManual testing26927022.87
2021-08-22SRBaseManual testing27027145.74


ECM factoring results:
Total ECM effort:2.227 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.227


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-08-31Stefan Rinkv4_computersC9E765CF161158B40.826
2001-06-03ANONYMOUSv4_computers4CB98FB16AA67FB60.826


PRP results:
dateuseridcompidcofactorsres64
2021-09-16M0CZYstone_win11_linux
5421754344871237594170489889576289399
DD2A5C19B4D888BC


CERT results:
dateuseridcompid
2021-09-16DerekCyberPower


P-1 factor-bounds graph:
B1 = 8000000, B2 = 400000000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 315000, B2 = 9213750 (P-1 stage 2)
B1 = 315000 (P-1 stage 1)
B1 = 60000, B2 = 975000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 25000, B2 = 350000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
271
270
269
268
267
266
265
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
290
2100
2110
2120
2130
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00