is 2 1818277 - 1
has 547356 decimal digits
takes 0.099 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4A2A0188AD02C21Edouble-checked
PRPE3821312B467BB31verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.781069.1176%18182771818277000.91457.9916%33.695571.5856%2.4680%
PrimeNet2570.010663.1579%80001500000.00122.8756%0.011864.2173%1.0594%
GPU722610.168965.5738%90001300000.00121.5576%0.170266.1100%0.5362%
Difference+7+32.6120+3.5439%+1809277+181697700+0.9133+6.4340%+33.5253+5.4756%+5.4756%

Known prime factors (2 factors, 165.5 bits, 0.00910022% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18182776675907440057387338424892479.143183577844301428972
22 × 45894461075357243
2020-11-1044589446107535724396,659196,692,187367,366,229
1818277968478127084332457232147592686.32426631754322480360727
3 × 227 × 8839 × 4424350553353
2021-03-268839442435055335314,042,02218,96235,415

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18182776465470334135138940705668115903483415966582609515150165.467
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-10T06:33:00Carsten Kossendeyleela1000001650000---0.015--2.199%
2014-05-13T21:11:00Jocelyn LaroucheManual testing135299135299---0.011--0.924%
2014-09-22T21:00:00Jocelyn LaroucheManual testing170598170598---0.013--1.050%
2015-05-28T00:39:00mikrMSI278000091760000---0.600--7.485%
2018-09-10T11:51:56Jocelyn Larouchelow 4M181827718182770012---0.915--7.992%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:53Mark RoseManual testing258260--0.063--
2010-04-17T14:28:00Architects Cubeda3_bu2260261--0.084--
2016-02-23T16:28:53Mark RoseManual testing261262--0.169--
2011-01-21T16:10:00GrunwalderGIMPManual testing21263--0.878--
2016-02-23T16:28:53Mark RoseManual testing262263--0.540--
2015-04-24T21:33:00snme2pm1Manual testing263264--1.080--
2015-04-24T21:33:00snme2pm1Manual testing264265--2.055--
2015-09-02T13:37:00ramgeisManual testing265266--4.110--
2018-03-05T14:53:04TJAOIManual testing266267--8.220--
2019-06-17T12:15:00TJAOIManual testing267268--16.44--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.930 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.930 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.2500.026%
25500000.74647.415%
302500000.04695.502%
3510000000.00299.789%


ECM Summary

B1B2factorcurvesGHz-days
50000500000017612.15
50000500000060.414
500006600000352.723
500006600000342.645


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computers4A2A0188AD02C21E0.099
2015-07-01T17:35:00MadPooManual testing4A2A0188AD02C21E0.099


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-10T15:37:40Oliver KruseIOS-5
667590744005738733842489
E3821312B467BB31no
2021-03-27T14:30:49rbanovccg_lnx02
667590744005738733842489
96847812708433245723214759
E3821312B467BB31no


P-1 factor-bounds graph:
B1 = 1818277, B2 = 181827700 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1818277 (P-1 stage 1)
B1 = 100000, B2 = 1650000 (P-1 stage 2)
B1 = 170598 (P-1 stage 1)
B1 = 135299 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-04-02T11:39:05+00:00