is 2 1741373 - 1
has 524206 decimal digits
takes 0.094 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA1DD43088A335E90double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26834.228769.1176%17413731915510300.95057.9819%35.179171.5827%2.4650%
PrimeNet2570.011063.1579%80001400000.00122.7998%0.012264.1894%1.0315%
GPU722610.176465.5738%80001100000.00111.4112%0.177566.0596%0.4858%
Difference+7+34.0523+3.5439%+1733373+191441030+0.9494+6.5707%+35.0017+5.5231%+5.5231%

Known prime factors (1 factor, 81.1 bits, 0.00465703% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
174137325846150955189433391477672581.096742119894910206871
19 × 2047733 × 19074235673
2020-01-11204773319074235673326,95081.900152.68

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-10T06:34:00Carsten Kossendeyleela950001543750---0.014--2.126%
2014-04-05T13:21:00Jocelyn LaroucheManual testing100000100000---0.008--0.769%
2014-05-06T10:52:00Jocelyn LaroucheManual testing136858136858---0.011--0.923%
2014-09-11T21:44:00Jocelyn LaroucheManual testing173716173716---0.014--1.053%
2014-12-02T21:55:00Jocelyn LaroucheManual testing210574210574---0.017--1.165%
2015-04-14T07:42:00mikrMSI247540086660000---0.556--7.316%
2018-08-06T14:03:28Jocelyn Larouchelow 4M174137317413730012---0.876--7.875%
2018-10-18T10:38:24Jocelyn Larouchelow 4M174137319155103012---0.950--7.982%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:49Mark RoseManual testing258260--0.066--
2010-04-20T13:12:00Architects Cubedm1_fw260261--0.088--
2016-02-23T16:28:49Mark RoseManual testing261262--0.176--
2010-11-18T02:51:00GrunwalderGIMPManual testing21263--0.917--
2016-02-23T16:28:49Mark RoseManual testing262263--0.564--
2015-05-12T07:14:00snme2pm1Manual testing263264--1.127--
2015-05-12T07:14:00snme2pm1Manual testing264265--2.146--
2015-09-04T17:59:00ramgeisManual testing265266--4.291--
2018-01-15T16:18:57TJAOIManual testing266267--8.583--
2019-07-31T09:42:07TJAOIManual testing267268--17.17--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.242 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.242 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025017.17
50000500000010.069


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computersA1DD43088A335E900.094
2015-06-27T00:57:00MadPooManual testingA1DD43088A335E900.094


PRP results:
dateuseridcompidcofactorsres64PRP
2020-01-12T00:30:55Niels_Mache_NextcloudSuperDry-X
2584615095518943339147767
8C6F514E942A52A0no
2020-01-12T21:21:29marssystemssystem11
2584615095518943339147767
8C6F514E942A52A0no


P-1 factor-bounds graph:
B1 = 1741373, B2 = 191551030 (P-1 stage 2)
B1 = 1741373, B2 = 174137300 (P-1 stage 2)
B1 = 2475400, B2 = 86660000 (P-1 stage 2)
B1 = 2475400 (P-1 stage 1)
B1 = 1741373 (P-1 stage 1)
B1 = 210574 (P-1 stage 1)
B1 = 95000, B2 = 1543750 (P-1 stage 2)
B1 = 173716 (P-1 stage 1)
B1 = 136858 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-07-27T11:05:21+00:00