is 2 823 - 1
has 248 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actualunknown----0.00000.0000%
Target2440.002877.2727%500500000.00000.5676%0.002877.4017%
Difference-44-0.0028-77.2727%-500-500000.0000-0.5676%-0.0028-77.4017%

Known prime factors (4 factors, 823.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
82314609152484365564066072270.307887554828940799761
72 × 541 × 33481264059029
-54133481264059029564,60834.90065.183
823153408620046368878803486458404931100.275932008627256190029182785288
23 × 3 × 7 × 293 × 84232958461 × 224781712717
-842329584612247817127172.156e+141.75803.2798
82314318463776157273132646318179504157563387487409638
575094260074593259322339364163972504114136247
95312.77986989451860007734706235225877911042304905755830125
00057266144953377474082238252717195695101

3 × 19141 × 49697 × 62819 × 48524327433823417859054329936478271207884060272154531610591137672002528136209
2008-10-0162819485243274338234178590543299364782712078840602721545316105911376720025281362091.695e+145.058e+649.447e+64
823
click to show decimal representation
103339.6382008-10-01

4 Composite Factors:
P-1 results:
No P-1 results for M823


Trial Factoring results:
No TF results for M823


ECM factoring results:
Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
No L-L results for M823


PRP results:
No PRP results for M823


P-1 factor-bounds graph:
101
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1010
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.9
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Last modified: 2023-10-02T12:12:48+00:00