is 2 4170473 - 1
has 1255438 decimal digits
takes 0.520 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
Actual2677.124867.1642 %2000001081852201.10026.7235 %8.225069.3719 %
Target2651.749466.1538 %2200022500000.02591.8724 %1.775366.7876 %
Difference+2+5.3755+1.0103 %+178000+105935220+1.0742+4.8511%+6.4497+2.5843 %

Known prime factors (2 factors, 124.9 bits, 0.00299564% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4170473100091353926.57712
22 × 3
-442.149e-127.234e-71.472e-6
41704734055095928805552076290193367113098.35648616738782454077466635
32 × 5 × 19 × 1951 × 32797 × 62137 × 14301383
2022-11-1562137143013832.264e+100.15150.2632

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-11-15USAFSSUSAFSACS20000010818522023098.3561.1618.128%


Trial Factoring results:
5758596061626364656667
No TF results for M4170473


ECM factoring results:
Total ECM effort:0.575 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.575


Lucas-Lehmer results:
No L-L results for M4170473


PRP results:
dateuseridcompidcofactorsres64
2017-11-15Oliver KruseGTX-3
100091353
6C0E4C4360FB07E3
2017-12-26kkmrkkblmbrbkc4.xlarge
100091353
6C0E4C4360FB07E3
2022-11-22junkman2usaTest-Node
100091353
405509592880555207629019336711
6C0E4C4360FB07E3


CERT results:
No CERT results for M4170473


P-1 factor-bounds graph:
B1 = 200000, B2 = 108185220 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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2100
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Last modified: 2024-03-13T02:15:48+00:00