is 2 2845433 - 1
has 856561 decimal digits
takes 0.220 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L367D35F26F26B131double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.442767.1642%350005600000.00711.5934%10.449867.6874%0.5232%
PrimeNet2590.027062.7119%130002400000.00282.9920%0.029863.8275%1.1157%
GPU722630.560965.0794%160002600000.00331.8284%0.564265.7179%0.6385%
Difference+4+9.8818+2.0848%+19000+300000+0.0038-0.2350%+9.8856+1.9695%+1.9695%

Known prime factors (2 factors, 132.2 bits, 0.00464675% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
284543369622345691504568731962.5941223405114292
22 × 32 × 53 × 641197649
2016-09-07536411976490.49013.91247.3072
28454339109153081623475372392169.626160066202255043
3 × 7 × 17 × 607 × 1031 × 716447
2009-03-23103171644761.6300.00450.0082

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2845433634200604805623735679131880178323099364740132.220
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.302%
2008-10-31T21:49:00Jayson Kingatlas35000560000---0.007--1.593%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-02-14T01:14:00Sturle Sundegiacco.ifi260261--0.054--
2022-03-10T18:31:16LordJuliusManual testing261262--0.108--
2016-09-07T15:11:14TJAOIManual testing262263*62.594190.2740.4470.557


ECM factoring results:

Old Calculation Method

Total ECM effort:0.313 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.313 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.313


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computers367D35F26F26B1310.220


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-22T14:44:39Oliver KruseGTX-0
6962234569150456873
910915308162347537239
9D23876E06C6E8__no
2017-12-07T11:47:44kkmrkkblmbrbkc4.xlarge
6962234569150456873
910915308162347537239
9D23876E06C6E8__no


P-1 factor-bounds graph:
B1 = 35000, B2 = 560000 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
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102
103
104
105
100
101
102
103
104
105
106
107
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109
TF factor-bounds graph:
267
263
262
261
250
260
270
280
290
2100
Last modified: 2022-03-10T18:31:16+00:00