is 2 1057223 - 1
has 318256 decimal digits
takes 0.031 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
Actual26728.105668.6567 %300000100000000.03564.0937 %28.141269.9398 %
Target2600.145365.0000 %4500950000.00040.6343 %0.145765.2220 %
Difference+7+27.9604+3.6567 %+295500+9905000+0.0352+3.4594%+27.9956+4.7178 %

Known prime factors (2 factors, 104.0 bits, 0.00983452% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1057223298136887928.151141
3 × 47
-3473.486e-112.320e-72.624e-7
1057223667602544902540176049132375.82131573402437448872
23 × 32 × 7 × 11 × 13 × 487 × 3547 × 253609
2014-12-19354725360911,5800.00070.0011

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-12-19alpertronManual testing300000100000001222375.8210.0368.160%


Trial Factoring results:
5758596061626364656667
No TF results for M1057223


ECM factoring results:
Total ECM effort:17.541 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.84
25000025000000447.703


Lucas-Lehmer results:
No L-L results for M1057223


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
298136887
66760254490254017604913
06DBBA63FF7A6695
2017-10-16Oliver KruseThreadripper-PC
298136887
66760254490254017604913
06DBBA63FF7A6695
2017-12-28ATHec2-1xh
298136887
66760254490254017604913
06DBBA63FF7A6695


CERT results:
No CERT results for M1057223


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
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102
103
104
105
106
100
101
102
103
104
105
106
107
TF factor-bounds graph:
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00