is 2 3106487 - 1
has 935146 decimal digits
takes 0.264 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9C2C3CCE357D86A0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.187267.6471 %10606482267496001.64848.2303 %20.835670.3098 %
Target2641.145865.6250 %1400012000000.00971.5077 %1.155566.1433 %
Difference+4+18.0415+2.0221 %+1046648+225549600+1.6387+6.7226%+19.6801+4.1665 %

Known prime factors (1 factor, 77.1 bits, 0.00248106% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31064871590390680111148326965912477.07425597896918788785
5 × 367 × 3067 × 4548355913
2020-12-09306745483559139,853.030.58257.119

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.574%
2009-07-03Carsten Kossendeymother15000180000--0.0031.414%
2011-08-22Squeeky_SquirrelT7500_220010000021250006--0.0264.022%
2016-08-30JossManual testing10000042500006--0.0404.638%
2016-12-27JossManual testing120000120000---1.637%
2017-01-19JossManual testing156000156000---1.859%
2017-02-04JossManual testing187200187200---2.023%
2017-02-15JossManual testing22464022464006---4.520%
2017-03-11JossManual testing26956826956806--0.0504.800%
2018-08-06mikrMSI300000010000000012--1.02210.989%
2021-01-17JossManual testing31064831064876---5.023%
2022-01-23JossManual testing1060648119912100--1.14810.494%
2022-09-07JossManual testing1060648226749600--2.03411.371%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-01-13ANONYMOUSv4_computers212590.012
1999-05-09ANONYMOUSv4_computers212600.025
2009-02-13Sturle Sundeghirardelli.ifi2602610.049
2011-11-24markroldgamer2612620.099
2013-01-07dbaughManual testing2622630.316
2015-02-07VictordeHollanderManual testing2632640.632
2015-02-07VictordeHollanderManual testing2642651.203
2015-06-11ThaManual testing2652662.406
2017-04-11Gordon SpenceManual testing2662674.811
2019-02-04TJAOIManual testing2672689.62


ECM factoring results:
Total ECM effort:2.930 GHz-days
Estimated T-Level:20.463
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09391.162%
302500000.00699.418%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.463
50000500000040.467


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08ANONYMOUSv4_computers9C2C3CCE357D86A00.264
1999-05-30ANONYMOUSv4_computers9C2C3CCE357D86A00.264


PRP results:
dateuseridcompidcofactorsres64
2020-12-10mrhlanai
159039068011114832696591
DDC703FC8A2722B1


CERT results:
dateuseridcompid
2020-12-11curtiscwcm231--06l


P-1 factor-bounds graph:
B1 = 1060648, B2 = 226749600 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1060648, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1060648 (P-1 stage 1)
B1 = 310648, B2 = 3106487 (P-1 stage 2)
B1 = 269568, B2 = 2695680 (P-1 stage 2)
B1 = 224640, B2 = 2246400 (P-1 stage 2)
B1 = 100000, B2 = 4250000 (P-1 stage 2)
B1 = 310648 (P-1 stage 1)
B1 = 269568 (P-1 stage 1)
B1 = 224640 (P-1 stage 1)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 187200 (P-1 stage 1)
B1 = 156000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (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
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.46 ~= 51-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00