is 2 4037707 - 1
has 1215471 decimal digits
takes 0.504 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-LF2AB3F7003ABB05Edouble-checked
PRPE4251154CDE0332B

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27059.179868.5714%360000183600000.24254.1312%59.422269.8698%1.2984%
PrimeNet2610.076163.9344%160003200000.00592.7325%0.082064.9199%0.9855%
GPU722651.806966.1538%220003600000.00731.7522%1.814266.7469%0.5930%
Difference+5+57.3729+2.4176%+338000+18000000+0.2352+2.3790%+57.6080+3.1229%+3.1229%

Known prime factors (1 factor, 72.5 bits, 0.00179572% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
403770767061191984592470379592272.506830436581760297
3 × 109 × 55217 × 45992383
2021-06-205521745992383282.850.46260.8464

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-15T20:31:00Carsten Kossendeydurandal20000290000---0.006--0.762%
2011-06-27T08:24:00harleeP4_260040000580000---0.013--1.174%
2012-09-27T03:53:00Squeeky_SquirrelP4_26002600006305000---0.107--3.179%
2021-04-06T13:11:31Dylan Delgadolaptop-i7875036000018360000---0.242--4.131%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-20T17:09:25ATHec2-P_1250000016750000027P-12272.5062.407


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-06T00:00:00ANONYMOUSv4_computers?261--0.038--
2009-11-19T04:45:00GrunwalderGIMPManual testing21263--0.395--
2016-02-23T16:29:46Mark RoseManual testing261263--0.319--
2013-08-09T21:44:00JayderManual testing263264--0.486--
2013-10-21T09:49:00David CampeauManual testing264265--0.925--
2015-05-20T04:11:00snme2pm1Manual testing265266--1.851--
2016-09-09T03:42:12kkmrkkblmbrbkManual testing266267--3.701--
2018-10-19T16:30:46YxinityManual testing267268--7.403--
2020-04-06T19:36:01mikrManual testing268269--14.81--
2020-04-06T19:36:01mikrManual testing269270--29.61--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.163 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.163 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.163


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-22T00:00:00ANONYMOUSv4_computersF2AB3F7003ABB05E0.504
2000-02-01T00:00:00ANONYMOUSv4_computersF2AB3F7003ABB05E0.504


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-21T12:45:15tottenhoff2018pc
6706119198459247037959
E4251154CDE0332Bno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 167500000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 360000, B2 = 18360000 (P-1 stage 2)
B1 = 260000, B2 = 6305000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 260000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 290000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-06-21T12:45:15+00:00