is 2 22519103 - 1
has 6778926 decimal digits
takes 17.112 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
Actual2671.319562.6866 %----1.319562.6866 %
Target2695.301663.7681 %170000250000001.67793.9796 %6.979565.2100 %
Difference-2-3.9821-1.0815 %-170000-25000000-1.6779-3.9796 %-5.6600-2.5234 %

Known prime factors (4 factors, 217.7 bits, 0.00096691% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22519103270229236011134.653600
23 × 3 × 52
2011-06-2725251.148e-102.755e-55.606e-5
2251910311737821667537271650.06026061921
32 × 23 × 137 × 919
2011-06-271379197.383e-60.00020.0003
22519103441701895970386948792065.260980727109713
32 × 13 × 29 × 289044241
2018-08-21292890442410.382417.35232.408
225191032510697815252463891612167.7675574595522860
22 × 32 × 5 × 7 × 13 × 41 × 47 × 176611
2023-04-10471766112.04350.01070.0198

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-06-27AxonManual testing2684.7140.9410.000%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2018-08-21TJAOIManual testing265266*
65.260
20
0.086
2023-04-10TJAOIManual testing267268*
67.767
21
1.018


ECM factoring results:
No ECM results for M22519103


Lucas-Lehmer results:
No L-L results for M22519103


PRP results:
No PRP results for M22519103


CERT results:
No CERT results for M22519103


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 69
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00