is 2 4068137 - 1
has 1224632 decimal digits
takes 0.507 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L1A6AECF4F6075715double-checked
PRPF76F433AC16ADBFB

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27058.737168.5714%3000000750000001.25206.6972%59.989170.6763%2.1048%
PrimeNet2610.075563.9344%170003200000.00612.7756%0.081664.9354%1.0010%
GPU722651.793466.1538%220003600000.00731.7546%1.800766.7477%0.5939%
Difference+5+56.9437+2.4176%+2978000+74640000+1.2447+4.9427%+58.1884+3.9286%+3.9286%

Known prime factors (1 factor, 92.7 bits, 0.00227773% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
406813778313678611762306262219421112892.661962525089638848277015
3 × 5 × 23 × 38867 × 795667 × 90215383
2021-08-1479566790215383407,437,7251.02501.6602

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00hitchcockv4_computers20000305000---0.006--0.775%
2011-07-25T12:56:00harleeP4_260040000580000---0.013--1.176%
2013-07-08T23:36:00Squeeky_SquirrelP4_26001200002340000---0.044--2.214%
2020-05-21T03:48:16vbcurtisManual testing30000007500000012---1.252--6.697%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-14T10:49:47ATHec2-P_1250000016750000027P-12892.6612.407


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-20T00:00:00ANONYMOUSv4_computers?261--0.038--
2010-10-22T21:46:00Grant McCrackenthumper261262--0.076--
2011-07-01T19:11:00GrunwalderGIMPManual testing21263--0.392--
2016-02-23T16:29:47Mark RoseManual testing262263--0.241--
2013-08-22T08:44:00JayderManual testing263264--0.483--
2013-10-26T04:18:00David CampeauManual testing264265--0.918--
2015-05-22T08:06:00snme2pm1Manual testing265266--1.837--
2016-10-03T08:37:12kkmrkkblmbrbkManual testing266267--3.674--
2018-11-03T05:35:20YxinityManual testing267268--7.348--
2021-03-10T21:35:42mikrManual testing268269--14.70--
2021-03-10T21:35:42mikrManual testing269270--29.39--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.167 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.167 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.167


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-10T00:00:00curtiscv4_computers1A6AECF4F60757150.507


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-14T12:14:12ATHec2-PRPCFDC
7831367861176230626221942111
F76F433AC16ADBFBno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 167500000 (P-1 stage 2)
B1 = 3000000, B2 = 75000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 120000, B2 = 2340000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 305000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-14T12:14:12+00:00