is 2 4408517 - 1
has 1327096 decimal digits
takes 0.550 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L06BC02FBBC8587A1double-checked
PRP1C2EF57F9ADC724E

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26927.080966.6667%100000005000000006.636510.4721%33.717470.1574%3.4907%
PrimeNet2610.069762.2951%180003600000.00662.9385%0.076363.4030%1.1079%
GPU722651.654964.6154%260005000000.00942.0325%1.664365.3346%0.7192%
Difference+4+25.4260+2.0513%+9974000+499500000+6.6271+8.4395%+32.0531+4.8228%+4.8228%

Known prime factors (1 factor, 141.3 bits, 0.00320457% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4408517337050789158869645782153410552053910355724943141.274382272302861562795132868275830686272
26 × 34 × 23 × 79 × 131 × 547 × 1009 × 145399 × 9074123 × 425438749
2021-08-1090741234254387494.107e+105.74357.8292

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-03-27T00:00:00Lars Lindleyv4_computers25000275000---0.007--0.956%
2011-07-06T03:41:00harleeP4_260050000787500---0.016--1.581%
2012-10-25T15:18:00Squeeky_SquirrelP4_26002850007267500---0.120--3.733%
2021-04-24T04:06:55Architects Cubedrdt122100013427000---0.170--4.043%
2021-04-27T06:13:31Architects Cubedgpu721500000114000000---1.380--7.380%
2021-08-10T17:25:57axnManual testing1000000050000000043141.2746.6361.10013.2710.472%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers?261--0.035--
2010-10-30T10:04:00markroldgamer261262--0.070--
2012-02-10T17:48:00GrunwalderGIMPManual testing21263--0.362--
2016-02-23T16:38:50Mark RoseManual testing262263--0.223--
2014-08-12T06:35:00JayderManual testing263264--0.445--
2014-08-12T12:47:00lycornManual testing264265--0.848--
2015-06-21T12:12:00snme2pm1Manual testing265266--1.695--
2018-01-23T15:50:58BloodERazorManual testing266267--3.390--
2018-06-19T09:54:49ramgeisManual testing267268--6.780--
2021-07-08T15:42:43TJAOIManual testing268269--13.56--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.207 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.207 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-31T00:00:00ANONYMOUSv4_computers06BC02FBBC8587A10.550
2000-04-12T00:00:00Lars Lindleyv4_computers06BC02FBBC8587A10.550


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-12T06:33:58GURA LOVE
3370507891588696457821534105520539103557249
1C2EF57F9ADC724Eno


P-1 factor-bounds graph:
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1500000, B2 = 114000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 221000, B2 = 13427000 (P-1 stage 2)
B1 = 285000, B2 = 7267500 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
B1 = 221000 (P-1 stage 1)
B1 = 50000, B2 = 787500 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 25000, B2 = 275000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
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109
TF factor-bounds graph:
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267
266
265
264
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261
250
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2100
2110
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Last modified: 2021-08-12T06:33:58+00:00