is 2 1830443 - 1
has 551019 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-L751DAAC9307EB4FCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.563169.1176%18304431830443000.92068.0097%33.483771.5912%2.4736%
PrimeNet2570.010563.1579%80001500000.00122.8792%0.011764.2187%1.0608%
GPU722610.167865.5738%90001400000.00131.5947%0.169166.1228%0.5490%
Difference+7+32.3953+3.5439%+1821443+182904300+0.9194+6.4150%+33.3146+5.4685%+5.4685%

Known prime factors (1 factor, 92.3 bits, 0.00504463% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
183044362637589774857418940324888332892.3391710995364915963483712
26 × 23 × 37 × 59 × 2750399 × 193593863
2020-03-152750399193593863781,823,5641.03431.5496

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:45:00Carsten Kossendeyleela1000001675000---0.015--2.210%
2014-05-19T21:00:00Jocelyn LaroucheManual testing135065135065---0.011--0.924%
2014-09-22T21:00:00Jocelyn LaroucheManual testing170130170130---0.013--1.050%
2015-06-19T12:00:00mikrMSI278000091760000---0.600--7.490%
2018-09-10T11:52:00Jocelyn Larouchelow 4M183044318304430012---0.921--8.010%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:54Mark RoseManual testing258260--0.063--
2010-04-13T12:48:00Architects Cubeda3_lm260261--0.084--
2016-02-23T16:28:54Mark RoseManual testing261262--0.168--
2011-01-21T16:10:00GrunwalderGIMPManual testing21263--0.872--
2016-02-23T16:28:54Mark RoseManual testing262263--0.536--
2015-04-26T04:57:00snme2pm1Manual testing263264--1.073--
2015-04-26T04:57:00snme2pm1Manual testing264265--2.041--
2015-09-04T17:59:00ramgeisManual testing265266--4.082--
2018-03-26T15:08:38TJAOIManual testing266267--8.165--
2019-07-01T11:11:04TJAOIManual testing267268--16.33--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.542 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.542 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.4020.022%
25500000.76046.744%
302500000.04795.412%
3510000000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001117.667
50000500000030.207
50000660000013710.67


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computers751DAAC9307EB4FC0.099
2015-07-18T18:30:00MadPooManual testing751DAAC9307EB4FC0.099


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-16T10:01:32Jinyuan WangManual testing
6263758977485741894032488833
AD212911754925A0no
2020-03-16T20:12:48GunnarLuFeininger
6263758977485741894032488833
AD212911754925A0no


P-1 factor-bounds graph:
B1 = 1830443, B2 = 183044300 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1830443 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 170130 (P-1 stage 1)
B1 = 135065 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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109
TF factor-bounds graph:
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266
265
264
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2100
Last modified: 2021-05-21T15:32:12+00:00