is 2 1847353 - 1
has 556109 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L725EC396D94021CEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.084668.6567 %1847353248832000.24406.3144 %16.328670.6359 %
Target2610.166365.5738 %90007500000.00391.6305 %0.170266.1351 %
Difference+6+15.9183+3.0829 %+1838353+24133200+0.2402+4.6839%+16.1585+4.5008 %

Known prime factors (1 factor, 86.0 bits, 0.00465467% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1847353767395944853562065769538892685.98820770149095856668048
24 × 311 × 607 × 1439651 × 4776539
2018-02-04143965147765395,515,9180.12750.2305

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-01-01markrtiny275000600000012--0.0467.170%
2015-10-06Bruno Victal5820K.ECM5000001500000012--0.1018.874%
2016-10-27JossManual testing720000720000---4.458%
2016-10-29JossManual testing864000864000---4.729%
2017-01-11JossManual testing10368001036800---5.008%
2017-02-11JossManual testing12441601244160012--0.1469.113%
2018-02-04JossManual testing1847353248832001222685.9880.24410.444%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-16ANONYMOUSv4_computers212580.021
2016-02-23Mark RoseManual testing2582600.062
2010-04-09Architects CubedManual testing2602610.083
2011-01-21GrunwalderGIMPManual testing212630.864
2016-02-23Mark RoseManual testing2612630.698
2015-04-28snme2pm1Manual testing2632653.085
2015-09-08ramgeisManual testing2652664.045
2017-10-20TJAOIManual testing2662678.090


ECM factoring results:
Total ECM effort:39.174 GHz-days
Estimated T-Level:25.711
DigitsB1CompleteFacMiss
201100015.0040.000%
25500001.68318.582%
302500000.14286.745%
3510000000.01099.029%


ECM Summary

B1B2factorcurvesGHz-days
500005000000483.213
50000660000020315.83
250000400000004720.13


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27Dr. Daniel J. Weidmanv4_computers725EC396D94021CE0.100
2002-10-26Dr. Daniel J. Weidmanv4_computers725EC396D94021CE0.100
2015-07-16MadPooManual testing725EC396D94021CE0.100


PRP results:
dateuseridcompidcofactorsres64
2018-02-04ATHec2-1xh
76739594485356206576953889
A1C5357EFCDFE07F
2018-02-05treborDesktop
76739594485356206576953889
A1C5357EFCDFE07F


CERT results:
No CERT results for M1847353


P-1 factor-bounds graph:
B1 = 1847353, B2 = 24883200 (P-1 stage 2)
B1 = 1244160, B2 = 12441600 (P-1 stage 2)
B1 = 1847353 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1244160 (P-1 stage 1)
B1 = 1036800 (P-1 stage 1)
B1 = 864000 (P-1 stage 1)
B1 = 720000 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
TF factor-bounds graph:
267
266
265
263
261
260
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00