is 2 2010733 - 1
has 605291 decimal digits
takes 0.132 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3E5BE6487AE3650Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.777768.6567 %580000150800000.13065.2199 %14.908370.2928 %
Target2620.305566.1290 %80006000000.00381.2721 %0.309466.5599 %
Difference+5+14.4721+2.5277 %+572000+14480000+0.1268+3.9478%+14.5989+3.7329 %

Known prime factors (2 factors, 138.4 bits, 0.00688142% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20107332103043217055273993912167.51152295436963915
3 × 5 × 23 × 151580976707
2015-07-032315158097670714.778787.351,470.5
201073321367684371512646838072270.856531340669584491
13 × 41 × 996886809727
2023-02-1341996886809727118.845,178.19,671.2

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-04-28Jossv4_computers20002000--0.0000.076%
2002-05-05Jossv4_computers30003000--0.0000.125%
2003-01-25Mr. P-1v4_computers3000054750012--0.0062.803%
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.761%
2010-11-29JossManual testing201073201073--0.0192.496%
2013-10-08David Campeaui5-2500k5800001508000012--0.1138.300%
2016-03-17alpertronManual testing5000001500000012---8.190%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-02Ethan O'Connorv4_computers212580.019
2022-03-09LordJuliusManual testing21260
2009-01-04Sturle Sundecorbusier.ifi2602610.076
2011-12-28Sebastian HornbostelManual testing2612620.153
2013-02-11dbaughManual testing2622630.488
2015-03-15VictordeHollanderManual testing2632640.976
2015-03-15VictordeHollanderManual testing2642651.858


ECM factoring results:
Total ECM effort:45.973 GHz-days
Estimated T-Level:25.854
DigitsB1CompleteFacMiss
201100011.3470.001%
25500001.62419.701%
302500000.17184.292%
3510000000.01498.618%


ECM Summary

B1B2factorcurvesGHz-days
500005000000292.133
50000500000020.169
50000640000070.660
50000675000070.695
50000690000070.594
50000700525870.598
250000400000008237.47
2500004000000083.656


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29Ethan O'Connorv4_computers3E5BE6487AE3650B0.132


PRP results:
dateuseridcompidcofactorsres64
2017-10-05Oliver KruseGTX-3
210304321705527399391
F414C17E6E57E7E9
2017-11-13ATHec2-1xh
210304321705527399391
F414C17E6E57E7E9
2023-02-13LordJuliusWhitebox
210304321705527399391
2136768437151264683807
8726CF141DC8894D


CERT results:
dateuseridcompid
2023-02-13garoaryabhata


P-1 factor-bounds graph:
B1 = 580000, B2 = 15080000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 201073 (P-1 stage 1)
B1 = 30000, B2 = 547500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 3000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=25.85 ~= 69-bit
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Last modified: 2024-02-29T14:28:04+00:00