is 2 2671 - 1
has 805 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8E7F476206810F6Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711,124.641582.0896 %1000000000001000000000000027.117724.3110 %11,151.759286.4438 %
Target2440.000972.7273 %500500000.00000.8347 %0.000972.9549 %
Difference+23+11,124.6407+9.3623 %+99999999500+9999999950000+27.1177+23.4763%+11,151.7583+13.4888 %

Known prime factors (1 factor, 240.4 bits, 9.00134233% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
267123735244414444406259941235211382202025397459274154
48738773239691983051831
73240.42644431382280876836877463937123515915435038298903321
7659822770440281365

3 × 5 × 4157 × 271820249 × 26214207634753671536043668540175101638251529414940483087
2019-07-26271820249262142076347536715360436685401751016382515294149404830875.704e+136.057e+431.131e+44

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-11ANONYMOUSv4_computers1000000100000000--0.00024.423%
2001-06-03ANONYMOUSv4_computers30000000004290000000--0.13034.594%
2001-06-03ANONYMOUSv4_computers430000004290000000--0.01236.372%
2002-05-25ANONYMOUSv4_computers10737418244290000000--0.05335.583%
2002-08-03ANONYMOUSv4_computers2147483648429000000048--0.09634.955%
2002-09-14ANONYMOUSv4_computers3221225472429000000048--0.13934.512%
2002-12-31ANONYMOUSv4_computers42900000004290000000--0.18234.162%
2011-04-15JossManual testing1000000000010000000000--0.42436.132%
2011-12-09nextPrimealpha1100000000011000000000--0.46736.346%
2013-06-18BloodIceURM2120000000000120000000000--5.09041.289%
2015-06-22treborLaptop1000000000001000000000000012--27.1255.793%
2018-10-31JossManual testing110000000000110000000000---41.122%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-22ANONYMOUSv4_computers2522530.225
1999-12-23ANONYMOUSv4_computers2532540.449
2000-02-01ANONYMOUSv4_computers2542550.898
2000-08-10ANONYMOUSv4_computers212563.594
2002-12-25Alex Kruppav4_computers212577.188
2016-02-23LaurVManual testing2572587.188
2011-01-10monstManual testing25826043.13
2012-05-22bcp19Manual testing26026157.50
2015-06-30snme2pm1G1261262115.0
2016-11-21snme2pm1G1262263367.5
2018-01-24snme2pm1g10263264735.0


ECM factoring results:
Total ECM effort:5,576,314.027 GHz-days
Estimated T-Level:66.491
DigitsB1CompleteFacMiss
201100097,345.5170.000%
255000034,717.1660.000%
3025000015,891.9920.000%
3510000006,091.5380.000%
4030000001,912.3550.000%
4511000000547.6880.000%
5044000000140.8100.000%
5511000000033.4830.000%
602600000007.3940.062%
658000000001.52921.680%
7024000000000.29874.213%
7572000000000.05494.704%
80216000000000.00599.487%


ECM Summary

B1B2factorcurvesGHz-days
13.05153e-5
20000010000000000106,0012,113
10000001000000003000.183
44000000429000000050012.13
4400000044000000002776.773
110000000110000000251.138
1100000001100000000017,0541,144
1100000009005141537822,0003,666
110000000200000000000025100.4
2000000002000000001038.524
26000000026000000000700104.0
260000000317855988451614,28891,688
850000000850000000003215.12
8500000001489938239791856,8321,700,880
1000000000190711767246166,160235,755
29000000001051012372179125,2121,093,690
76000000004200000000000002,9242,447,130


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testing8E7F476206810F6A7.81268e-8


PRP results:
dateuseridcompidcofactorsres64
2019-07-26ATHec2-PRPCF
23735244414444406259941235211382202025397459274154
48738773239691983051831
F6966C45A1D11FBE
2019-07-27oodairacom1
23735244414444406259941235211382202025397459274154
48738773239691983051831
F6966C45A1D11FBE
2020-04-17Oliver KruseIOS-1
23735244414444406259941235211382202025397459274154
48738773239691983051831
F6966C45A1D11FBE


CERT results:
No CERT results for M2671


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 10000000000000 (P-1 stage 2)
B1 = 120000000000 (P-1 stage 1)
B1 = 110000000000 (P-1 stage 1)
B1 = 100000000000 (P-1 stage 1)
B1 = 11000000000 (P-1 stage 1)
B1 = 10000000000 (P-1 stage 1)
B1 = 4290000000 (P-1 stage 1)
B1 = 3221225472, B2 = 4290000000 (P-1 stage 2)
B1 = 3221225472 (P-1 stage 1)
B1 = 3000000000, B2 = 4290000000 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 2147483648, B2 = 4290000000 (P-1 stage 2)
B1 = 2147483648 (P-1 stage 1)
B1 = 1073741824, B2 = 4290000000 (P-1 stage 2)
B1 = 1073741824 (P-1 stage 1)
B1 = 43000000, B2 = 4290000000 (P-1 stage 2)
B1 = 43000000 (P-1 stage 1)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=66.49 ~= 204-bit
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Last modified: 2024-03-13T02:15:48+00:00