is 2 2160101 - 1
has 650256 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBADDF73C74F8A657double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.755867.1642 %500000150000000.12305.1707 %13.878868.8620 %
Target2620.284464.5161 %100008000000.00511.5193 %0.289565.0552 %
Difference+5+13.4714+2.6481 %+490000+14200000+0.1179+3.6514%+13.5893+3.8068 %

Known prime factors (1 factor, 87.6 bits, 0.00405672% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21601012393623602944150616540484792787.62955405363058119750339
43 × 71 × 1847 × 17707 × 554897947
2015-09-181770755489794714,509,9432.88395.3833

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.776%
2010-11-04JossManual testing1500015000--0.0010.577%
2010-11-07JossManual testing3000030000--0.0030.934%
2011-01-15JossManual testing5000050000--0.0051.272%
2011-01-23markrtiny12000023400006--0.0234.991%
2014-10-03JossManual testing149714149714--0.0142.218%
2016-04-02alpertronManual testing5000001500000012---8.254%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29ANONYMOUSv4_computers212580.018
2022-03-09LordJuliusManual testing21260
2009-01-04Sturle Sundegolli.ifi2602610.071
2009-01-06Sturle Sundegoober.ifi2612620.142
2013-01-23dbaughManual testing2622630.454
2015-03-25VictordeHollanderManual testing2632640.909
2015-03-25VictordeHollanderManual testing2642651.730


ECM factoring results:
Total ECM effort:21.568 GHz-days
Estimated T-Level:21.923
DigitsB1CompleteFacMiss
20110004.0451.751%
25500000.38568.074%
302500000.02597.562%
3510000000.00199.882%


ECM Summary

B1B2factorcurvesGHz-days
500005000000221.741
50000500000030.256
50000658003570.675
50000715000070.703
50000433630165018.19


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15ANONYMOUSv4_computersBADDF73C74F8A6570.142


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
239362360294415061654048479
E903B3906B2F2E94
2017-10-21Oliver KruseThreadripper-PC
239362360294415061654048479
E903B3906B2F2E94


CERT results:
No CERT results for M2160101


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 120000, B2 = 2340000 (P-1 stage 2)
B1 = 149714 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.92 ~= 56-bit
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260
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Last modified: 2024-02-29T14:28:04+00:00