is 2 1740821 - 1
has 524040 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-LD3D1D3A9BE590EB0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26834.239569.1176%17408211914903100.95027.9811%35.189771.5824%2.4647%
PrimeNet2570.011063.1579%80001400000.00122.7997%0.012264.1894%1.0315%
GPU722610.176565.5738%80001100000.00111.4111%0.177566.0596%0.4858%
Difference+7+34.0631+3.5439%+1732821+191380310+0.9491+6.5700%+35.0122+5.5228%+5.5228%

Known prime factors (1 factor, 84.8 bits, 0.00487266% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1740821342477784307711407949701932684.8249836674313663248776
23 × 32 × 163 × 838162432997891
2020-06-251638381624329978913,466,4873,592,1556,709,145

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-10T16:23:00Carsten Kossendeyleela950001543750---0.014--2.126%
2014-04-05T13:21:00Jocelyn LaroucheManual testing100000100000---0.008--0.769%
2014-05-06T10:52:00Jocelyn LaroucheManual testing136870136870---0.011--0.923%
2014-09-11T21:44:00Jocelyn LaroucheManual testing173740173740---0.014--1.053%
2014-12-02T21:55:00Jocelyn LaroucheManual testing210610210610---0.017--1.165%
2015-04-13T13:01:00mikrMSI247540086660000---0.556--7.315%
2018-08-06T14:03:29Jocelyn Larouchelow 4M174082117408210012---0.876--7.874%
2018-10-18T10:38:30Jocelyn Larouchelow 4M174082119149031012---0.950--7.981%


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--
2015-05-12T05:08:00snme2pm1Manual testing263264--1.128--
2015-05-12T05:08:00snme2pm1Manual testing264265--2.146--
2015-09-04T17:59:00ramgeisManual testing265266--4.293--
2018-01-22T18:13:16TJAOIManual testing266267--8.585--
2019-07-31T09:42:07TJAOIManual testing267268--17.17--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.791 GHz-days
Estimated T-Level:24.625
DigitsB1CurvesCompleteFacMiss
2011000259 / 1002.5907.405%
2550000259 / 2800.92539.588%

New Calculation Method

Total ECM effort:17.791 GHz-days
Estimated T-Level:24.625
DigitsB1CompleteFacMiss
20110009.9620.005%
25500000.92239.784%
302500000.05894.352%
3510000000.00399.729%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025717.65
50000500000020.137


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00ANONYMOUSv4_computersD3D1D3A9BE590EB00.094
2015-06-27T00:56:00MadPooManual testingD3D1D3A9BE590EB00.094


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-26T05:35:15atrenchDesktop
34247778430771140794970193
112B575E0267555Fno
2020-06-26T17:01:51Yuji Hasegawavj22m
34247778430771140794970193
112B575E0267555Fno


P-1 factor-bounds graph:
B1 = 1740821, B2 = 191490310 (P-1 stage 2)
B1 = 1740821, B2 = 174082100 (P-1 stage 2)
B1 = 2475400, B2 = 86660000 (P-1 stage 2)
B1 = 2475400 (P-1 stage 1)
B1 = 1740821 (P-1 stage 1)
B1 = 210610 (P-1 stage 1)
B1 = 95000, B2 = 1543750 (P-1 stage 2)
B1 = 173740 (P-1 stage 1)
B1 = 136870 (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: 2020-06-29T11:34:58+00:00