is 2 47189 - 1
has 14206 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267629.678976.1194 %75000000058844053588320045,842.166330.4603 %46,471.845283.3935 %
Target2440.000063.6364 %500500000.00002.0063 %0.000164.3659 %
Difference+23+629.6788+12.4830 %+749999500+588440535833200+45,842.1663+28.4540%+46,471.8451+19.0276 %

Known prime factors (4 factors, 205.0 bits, 0.43449499% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
47189345800993928.3653664
24 × 229
-162291.359e-93.947e-84.656e-8
47189411110569928.6154356
22 × 32 × 112
2008-08-261211211.472e-91.730e-73.521e-7
471895204236033671238.9215514247
5514247
2008-08-26155142471.211e-60.00040.0008
4718971153080632789158764647624840747133109.1337539159616943478222111893115
3 × 5 × 20879 × 24072543758300934661979
2019-01-1520879240725437583009346619793.520e+121.875e+123.503e+12

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-28kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 345800993
skipped known factor: 411110569
skipped known factor: 520423603367
---39.387%
2023-04-30JacobZMServer750000000588440535883200
skipped known factor: 345800993
skipped known factor: 411110569
skipped known factor: 520423603367
--55,14070.250%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
28.615
9
2008-08-26ANONYMOUSManual testing??
38.921
12


ECM factoring results:
Total ECM effort:84.462 GHz-days
Estimated T-Level:34.326
DigitsB1CompleteFacMiss
2011000247.0320.000%
255000047.6140.000%
302500007.0430.087%
3510000000.86542.093%
4030000000.08991.496%
45110000000.00899.219%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.263
250000250000005843.004
100000010000000075017.51
100000010000000010.021
100000010565346970.277
10000001370000001503.458
1000000101077977090.734
2334934541195071115059.19


Lucas-Lehmer results:
No L-L results for M47189


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
345800993
411110569
520423603367
C42FDAE27D9591EF
2017-09-21Oliver KruseManual testing
345800993
411110569
520423603367
C42FDAE27D9591EF
2017-09-21Oliver KruseManual testing
345800993
411110569
520423603367
C42FDAE27D9591EF
2017-11-06kkmrkkblmbrbkc4.xlarge
345800993
411110569
520423603367
C42FDAE27D9591EF
2019-01-15ATHec2-PRPCF
345800993
411110569
520423603367
711530806327891587646476248407471
4EEB7D89F4E8DE98
2019-01-15marssystemssystem03
345800993
411110569
520423603367
711530806327891587646476248407471
4EEB7D89F4E8DE98


CERT results:
No CERT results for M47189


P-1 factor-bounds graph:
B1 = 750000000, B2 = 588440535883200 (P-1 stage 2)
B1 = 750000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=34.33 ~= 97-bit
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Last modified: 2024-03-13T02:15:48+00:00