is 2 2089223 - 1
has 628919 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7587DF37A967ED1Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26957.144169.5652 %25000001250000000.87467.2698 %58.018871.7778 %
Target2620.294166.1290 %90007000000.00441.4002 %0.298566.6033 %
Difference+7+56.8501+3.4362 %+2491000+124300000+0.8702+5.8696%+57.7202+5.1745 %

Known prime factors (1 factor, 89.0 bits, 0.00426178% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20892236355597162704917631540083592789.038152104326888630788373
3 × 13 × 31 × 2767 × 134269 × 338633839
2021-10-1713426933863383960,008,8021.77113.2852

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-27ANONYMOUSv4_computers204820480012--0.0010.769%
2009-07-26USAFSSP4_260020000260000--0.0032.110%
2010-12-28JossManual testing3000030000--0.0030.928%
2011-01-08JossManual testing5000050000--0.0051.264%
2011-01-18James HeinrichQ660014000031500006--0.0295.389%
2016-04-27JossManual testing2800001041023412--0.0797.307%
2017-05-01mikrMSI250000012500000012--0.87512.554%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-17ANONYMOUSv4_computers212580.018
2016-02-23Mark RoseManual testing2582600.055
2009-01-02Sturle Sundekorsmo.ifi2602610.074
2012-03-20Sebastian HornbostelManual testing2612620.147
2013-09-03ramgeisManual testing2622630.470
2015-04-10VictordeHollanderManual testing2632640.940
2015-04-10VictordeHollanderManual testing2642651.788
2015-11-06ramgeisManual testing2652663.577
2016-10-01Gordon SpenceManual testing2662677.154
2019-04-01chuenkitManual testing26726814.31
2021-08-16TJAOIManual testing26826928.61


ECM factoring results:
Total ECM effort:17.032 GHz-days
Estimated T-Level:23.571
DigitsB1CompleteFacMiss
20110007.7110.045%
25500000.71448.961%
302500000.04595.581%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017614.76
50000645000070.666
50000670000070.678
50000675000070.680
766202417689010.245


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computers7587DF37A967ED1B0.137
2017-06-11kkmrkkblmbrbkc4.large7587DF37A967ED1B0.137


PRP results:
dateuseridcompidcofactorsres64
2021-10-17zr_zirconRyzen_5_3550H
635559716270491763154008359
54EA3F8593F00C69


CERT results:
dateuseridcompid
2021-10-17Ben NewsamNew_Server


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 280000, B2 = 10410234 (P-1 stage 2)
B1 = 140000, B2 = 3150000 (P-1 stage 2)
B1 = 280000 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=23.57 ~= 62-bit
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Last modified: 2024-03-03T02:29:32+00:00