is 2 1833427 - 1
has 551917 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-LA2BB92C373DAB424double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.510169.1176%18334271833427000.92218.0141%33.432271.5926%2.4749%
PrimeNet2570.010563.1579%80001500000.00122.8801%0.011764.2190%1.0611%
GPU722610.167565.5738%90001400000.00131.5952%0.168866.1229%0.5492%
Difference+7+32.3425+3.5439%+1824427+183202700+0.9209+6.4189%+33.2634+5.4696%+5.4696%

Known prime factors (2 factors, 171.0 bits, 0.00932927% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18334275186523066887621914967512478.779141443402624910125
53 × 19 × 59555116894699
2020-03-161255955511689469963,779255,238476,714
183342759555341482596304590851120492892.2661624153606404735628712
23 × 7 × 16741 × 1732437905233447
2021-05-21167411732437905233447842,123,7047,424,79613,867,451

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
183342730888515235585499758013714700141523145307278544527
99
52171.045
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:43:00Carsten Kossendeyleela1000001675000---0.015--2.210%
2014-05-19T21:00:00Jocelyn LaroucheManual testing135008135008---0.011--0.924%
2014-09-22T21:00:00Jocelyn LaroucheManual testing170016170016---0.013--1.050%
2015-06-25T14:38:00mikrMSI278000091760000---0.600--7.491%
2018-08-17T12:06:11Jocelyn Larouchelow 4M18334279350477712---0.537--7.251%
2018-09-12T11:57:13Jocelyn Larouchelow 4M183342718334270012---0.922--8.014%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:54Mark RoseManual testing258260--0.063--
2010-04-18T22:56:00Architects Cubeda3_lm260261--0.084--
2016-02-23T16:28:54Mark RoseManual testing261262--0.168--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.871--
2016-02-23T16:28:54Mark RoseManual testing262263--0.535--
2015-04-26T11:10:00snme2pm1Manual testing263264--1.071--
2015-04-26T11:10:00snme2pm1Manual testing264265--2.038--
2015-09-04T17:59:00ramgeisManual testing265266--4.076--
2018-02-26T10:32:50TJAOIManual testing266267--8.152--
2019-06-24T09:36:03TJAOIManual testing267268--16.30--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.563 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.563 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.4060.022%
25500000.76146.724%
302500000.04795.409%
3510000000.00299.784%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001117.668
50000500000010.069
500006600000503.894
500006600000896.932


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computersA2BB92C373DAB4240.099
2015-07-18T18:30:00MadPooManual testingA2BB92C373DAB4240.099


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-16T21:09:09mrh.orgw
518652306688762191496751
302A0D46553B35A5no
2020-03-17T16:32:25marssystemssystem11
518652306688762191496751
302A0D46553B35A5no
2021-05-21T18:37:43ThomRuley
518652306688762191496751
5955534148259630459085112049
302A0D46553B35A5no


P-1 factor-bounds graph:
B1 = 1833427, B2 = 183342700 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 1833427, B2 = 93504777 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1833427 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 170016 (P-1 stage 1)
B1 = 135008 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-21T18:37:43+00:00