is 2 3584183 - 1
has 1078947 decimal digits
takes 0.376 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1D1466668126863Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26816.630067.6471 %3000000900000001.17878.0305 %17.808770.2452 %
Target2640.993165.6250 %2000020000000.01951.9789 %1.012566.3052 %
Difference+4+15.6369+2.0221 %+2980000+88000000+1.1593+6.0516%+16.7962+3.9399 %

Known prime factors (1 factor, 79.9 bits, 0.00222797% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
358418310929223077194729135296632579.854152464635276640857
33 × 1621 × 129469 × 26906459
2020-02-071294692690645941,6790.24190.4170

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-09Carsten Kossendeymother20000245000--0.0051.726%
2011-12-28Squeeky_SquirrelP4_26008500015937506--0.0253.755%
2016-05-12Squeeky_SquirrelP4_2600225000658125012--0.0875.757%
2020-02-08BigBrotherWinston3000000900000001222579.8541.17910.965%
2022-03-04JossManual testing9000090000--0.0141.450%
2022-03-22JossManual testing100000100000--0.0151.531%
2022-05-24JossManual testing100000130364850--1.3028.073%
2022-08-24JossManual testing10000001000000--0.1523.960%
2022-09-13JossManual testing1000000130364850
skipped known factor: 1092922307719472913529663
--1.45510.702%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-05ANONYMOUSv4_computers212600.021
2009-03-14S485122USB-A2602610.043
2011-06-22Grant McCrackenthumper2612620.086
2012-07-02GrunwalderGIMPManual testing212630.445
2016-02-23Mark RoseManual testing2622630.274
2015-01-30VictordeHollanderManual testing2632651.590
2016-02-26ramgeisManual testing2652662.085
2017-01-20Gordon SpenceManual testing2662674.170
2018-09-24TJAOIManual testing2672688.340


ECM factoring results:
Total ECM effort:1.632 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.632


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-05ANONYMOUSv4_computers1D1466668126863D0.376
1999-07-27ANONYMOUSv4_computers1D1466668126863D0.376


PRP results:
dateuseridcompidcofactorsres64
2020-02-08Niels_Mache_NextcloudSuperDry-X
1092922307719472913529663
E31F87FB87B9A4FC
2020-02-09marssystemsSystem01
1092922307719472913529663
E31F87FB87B9A4FC


CERT results:
No CERT results for M3584183


P-1 factor-bounds graph:
B1 = 1000000, B2 = 130364850 (P-1 stage 2)
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 225000, B2 = 6581250 (P-1 stage 2)
B1 = 225000 (P-1 stage 1)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=2.31 ~= -9-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00