is 2 5575369 - 1
has 1678354 decimal digits
takes 0.880 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L048F39C62E8B005Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272171.528368.0556 %5000000642358899081.219511.0167 %252.747871.5748 %
Target2662.648965.1515 %3400035000000.05102.1586 %2.699965.9037 %
Difference+6+168.8794+2.9040 %+4966000+6420088990+81.1684+8.8581%+250.0479+5.6710 %

Known prime factors (1 factor, 107.8 bits, 0.00193325% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
557536927971064298903903889970362820830333107.78625084496020715313990850079
269539 × 368447 × 1551601 × 162790363
2022-09-1215516011627903632.811e+102.36683.7931

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-06-06Carsten Kossendeymother30000390000--0.0131.790%
2010-12-03Squeeky_SquirrelP4_26006500010237506--0.0302.726%
2019-10-14USAFSS6917th_Scty_Sq335000996625012--0.1975.651%
2022-09-12Sid & AndySpeck50000006423588990233107.78691.1516.378%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-09ANONYMOUSv4_computers212550.002
1999-08-07ANONYMOUSv4_computers212620.055
2009-02-10GrunwalderGIMPManual testing2622630.176
2014-12-20NesowaManual testing2632640.352
2014-12-21monstManual testing2642650.670
2015-09-03snme2pm1Manual testing2652661.340
2016-07-31Gordon SpenceManual testing2662672.681
2018-07-05ramgeisManual testing2672685.361
2020-08-24TJAOIManual testing26826910.72
2021-08-18SRBaseManual testing26927021.45
2021-08-24SRBaseManual testing27027142.89
2021-10-11SRBaseManual testing27127285.78


ECM factoring results:
Total ECM effort:2.139 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.139


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-01ANONYMOUSv4_computers048F39C62E8B005E0.880
2000-09-23ANONYMOUSv4_computers048F39C62E8B005E0.880


PRP results:
dateuseridcompidcofactorsres64
2022-09-17Perigbreagan
279710642989039038899703628208303
0A49F2E97A0136A9


CERT results:
dateuseridcompid
2022-09-17Jon Pace17-02-Carol


P-1 factor-bounds graph:
B1 = 5000000, B2 = 6423588990 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 335000, B2 = 9966250 (P-1 stage 2)
B1 = 335000 (P-1 stage 1)
B1 = 65000, B2 = 1023750 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 30000, B2 = 390000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
255
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00