is 2 2184187 - 1
has 657506 decimal digits
takes 0.144 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC746A3E278DBE0FFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.289367.6471%25000001250000000.87467.9294%28.163970.2124%2.5654%
PrimeNet2580.017662.0690%100001800000.00182.8593%0.019463.1535%1.0846%
GPU722620.281364.5161%110001600000.00181.5693%0.283165.0730%0.5569%
Difference+6+27.0080+3.1309%+2489000+124840000+0.8728+6.3600%+27.8808+5.1394%+5.1394%

Known prime factors (1 factor, 80.8 bits, 0.00369815% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
218418720679520928927632999559512580.774473391722616415925
52 × 72 × 389 × 993424736617
2020-07-13389993424736617118,0545,160.19,637.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.226%
2010-11-06T00:22:00ANONYMOUSManual testing1500015000---0.001--0.198%
2010-11-08T11:36:00Jocelyn LaroucheManual testing3000030000---0.003--0.354%
2011-01-13T14:45:00markrtiny900001620000---0.017--2.205%
2014-06-26T21:21:00ANONYMOUSManual testing119386119386---0.011--0.890%
2014-10-10T20:28:00Jocelyn LaroucheManual testing148772148772---0.014--1.007%
2016-02-05T12:25:22Jocelyn LaroucheManual testing44304344304306---0.063--3.588%
2018-02-03T09:31:27mikrMSI250000012500000012---0.875--7.929%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00RonLavalleev4_computers21258--0.018--
2016-02-23T16:29:08Mark RoseManual testing258260--0.053--
2009-01-02T20:27:00Sturle Sundegoober.ifi260261--0.070--
2009-01-08T00:00:00Sturle Sundecorbusier.ifi261262--0.141--
2013-09-15T16:12:00BloodIceManual testing262263--0.449--
2015-03-25T10:10:00VictordeHollanderManual testing263264--0.899--
2015-03-25T10:10:00VictordeHollanderManual testing264265--1.711--
2016-01-02T13:50:59ramgeisManual testing265266--3.421--
2016-11-24T19:46:05Gordon SpenceManual testing266267--6.843--
2019-04-15T13:43:10TJAOIManual testing267268--13.69--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.869 GHz-days
Estimated T-Level:4.600
DigitsB1CurvesCompleteFacMiss
201100092 / 1000.92039.668%
255000092 / 2800.32971.953%

New Calculation Method

Total ECM effort:7.869 GHz-days
Estimated T-Level:4.600
DigitsB1CompleteFacMiss
20110002.9685.142%
25500000.26876.474%
302500000.01798.362%


ECM Summary

B1B2factorcurvesGHz-days
500005000000907.698
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00RonLavalleev4_computersC746A3E278DBE0FF0.144
2018-04-14T03:34:17kkmrkkblmbrbkoldC746A3E278DBE0FF0.144


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-13T21:51:03CrypticClueManual testing
2067952092892763299955951
4BA1A3E2F99B24B1no
2020-07-13T23:40:21oodairacom2
2067952092892763299955951
4BA1A3E2F99B24B1no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 443043, B2 = 4430430 (P-1 stage 2)
B1 = 443043 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148772 (P-1 stage 1)
B1 = 119386 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-07-13T23:40:21+00:00