is 2 2361031 - 1
has 710742 decimal digits
takes 0.160 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L18B6C8446814A41Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26825.245367.6471 %30000001000000000.81157.8341 %26.056870.1816 %
Target2630.676065.0794 %100007000000.00471.2705 %0.680665.5230 %
Difference+5+24.5693+2.5677 %+2990000+99300000+0.8069+6.5636%+25.3762+4.6586 %

Known prime factors (1 factor, 70.1 bits, 0.00297050% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
236103112959778409884320098312270.135274451678310965
5 × 31 × 1151 × 1538363153
2020-11-1211511538363153101.218.210215.334

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.652%
2010-10-10Oscar Östlin400006200006--0.0072.771%
2011-01-18JossManual testing5000050000--0.0051.117%
2011-01-26James Heinrichi7-92016000036000006--0.0355.151%
2016-01-10mikrMSI300000010000000012--0.81211.554%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-01ANONYMOUSv4_computers212590.016
2002-04-14ANONYMOUSv4_computers212590.016
2016-02-23Mark RoseManual testing2592600.033
2009-01-11Sturle Sundeghini.ifi2602610.065
2012-05-30Sebastian HornbostelManual testing2612620.130
2013-01-23dbaughManual testing2622630.416
2015-03-09VictordeHollanderManual testing2632640.832
2015-03-09VictordeHollanderManual testing2642651.583
2015-10-29ramgeisManual testing2652663.165
2017-06-13Gordon SpenceManual testing2662676.330
2019-04-22TJAOIManual testing26726812.66


ECM factoring results:
Total ECM effort:9.195 GHz-days
Estimated T-Level:21.868
DigitsB1CompleteFacMiss
20110004.0381.762%
25500000.37468.821%
302500000.02497.671%
3510000000.00199.890%


ECM Summary

B1B2factorcurvesGHz-days
500005000000988.573
50000500000070.622


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26ANONYMOUSv4_computers18B6C8446814A41A0.160
2002-04-14ANONYMOUSv4_computers18B6C8446814A41A0.160
2018-05-11kkmrkkblmbrbkold18B6C8446814A41A0.160


PRP results:
dateuseridcompidcofactorsres64
2020-11-12mrhx
1295977840988432009831
F176DB9C5E23D092


CERT results:
dateuseridcompid
2020-11-12Team_InspectorPurple


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 160000, B2 = 3600000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 40000, B2 = 620000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 40000 (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: 63
TF double-checked to: 67
ECM T-Level=21.87 ~= 56-bit
250
260
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280
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Last modified: 2024-02-29T14:28:04+00:00