is 2 2016823 - 1
has 607125 decimal digits
takes 0.133 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
Actual26714.733068.6567 %500000150000000.12305.1282 %14.856070.2641 %
Target2620.304666.1290 %80006000000.00381.2729 %0.308566.5602 %
Difference+5+14.4284+2.5277 %+492000+14400000+0.1191+3.8553%+14.5476+3.7039 %

Known prime factors (2 factors, 104.4 bits, 0.00517693% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
201682332269169824.9448
23
-881.110e-127.627e-71.552e-6
20168238348019953452361217668632479.466206959657675769297
13 × 389 × 443 × 206483 × 447409
2016-01-26206483447409119,2700.02090.0401

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-01-26alpertronManual testing500000150000001222479.4660.1238.192%


Trial Factoring results:
5758596061626364656667
No TF results for M2016823


ECM factoring results:
Total ECM effort:53.936 GHz-days
Estimated T-Level:25.851
DigitsB1CompleteFacMiss
201100011.4270.001%
25500001.62519.683%
302500000.17084.349%
3510000000.01498.628%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.097
50000560000070.540
50000700000080.684
50000706305570.601
50000711379470.603
50000713563670.604
250000432396958948.81


Lucas-Lehmer results:
No L-L results for M2016823


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
32269169
834801995345236121766863
CD0C492914BF2AE8
2017-10-20Oliver KruseThreadripper-PC
32269169
834801995345236121766863
CD0C492914BF2AE8


CERT results:
No CERT results for M2016823


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=25.85 ~= 69-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00