is 2 2189333 - 1
has 659055 decimal digits
takes 0.144 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
Actual26713.572167.1642 %500000150000000.12305.1790 %13.695168.8648 %
Target2620.280664.5161 %110008000000.00511.5701 %0.285865.0733 %
Difference+5+13.2915+2.6481 %+489000+14200000+0.1178+3.6090%+13.4094+3.7915 %

Known prime factors (2 factors, 115.7 bits, 0.00528327% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21893332989884504791238.12168283
35 × 281
-2432812.977e-82.336e-54.715e-5
21893332208112412374489230884572477.54750428884330855316
22 × 11 × 13 × 17 × 35863 × 144606493
2022-04-033586314460649321,8360.75441.4029

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-30alpertronManual testing5000001500000012
skipped known factor: 298988450479
---8.267%


Trial Factoring results:
5758596061626364656667
No TF results for M2189333


ECM factoring results:
Total ECM effort:9.009 GHz-days
Estimated T-Level:21.725
DigitsB1CompleteFacMiss
20110003.6922.492%
25500000.34570.816%
302500000.02297.829%
3510000000.00199.897%


ECM Summary

B1B2factorcurvesGHz-days
500005000000100.856
50000530000010.088
50000530000060.526
50000578016970.637
50000690000070.692
50000700000080.797
507282512999510.228
520497286860505.185


Lucas-Lehmer results:
No L-L results for M2189333


PRP results:
dateuseridcompidcofactorsres64
2017-10-09Oliver KruseGTX-3
298988450479
F4F02147C915D6C8
2017-11-19ATHec2-1xh
298988450479
F4F02147C915D6C8
2022-04-03SRJ2877LTOS
298988450479
220811241237448923088457
FB9E27970C0F85A4


CERT results:
dateuseridcompid
2022-04-04soldcakeidell


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.73 ~= 56-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00