is 2 2210651 - 1
has 665473 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L93C876872FFB6B21double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.441367.1642 %500000150000000.12305.1851 %13.564268.8667 %
Target2620.277964.5161 %110008500000.00541.6016 %0.283365.0844 %
Difference+5+13.1633+2.6481 %+489000+14150000+0.1176+3.5835%+13.2809+3.7823 %

Known prime factors (1 factor, 69.1 bits, 0.00312443% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22106516197417529707940711832169.070140171775863941
2663461 × 52627681
2009-01-0826634615262768154.0050.51350.5168

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-16ANONYMOUSv4_computers204820480012--0.0010.780%
2016-04-19alpertronManual testing5000001500000012---8.275%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-02Sturle Sundeantonov.ifi2602610.069
2009-01-08Sturle Sundebruckner.ifi2612620.139


ECM factoring results:
Total ECM effort:9.044 GHz-days
Estimated T-Level:21.580
DigitsB1CompleteFacMiss
20110003.3793.409%
25500000.31672.906%
302500000.02098.010%


ECM Summary

B1B2factorcurvesGHz-days
10.125
500005000000171.456
50000690000070.694
500007000000504.989
500002702353571.780


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02ANONYMOUSv4_computers93C876872FFB6B210.145


PRP results:
dateuseridcompidcofactorsres64
2017-10-09Oliver KruseGTX-3
619741752970794071183
FE35DBEBB37F38FF
2017-11-20kkmrkkblmbrbkc4.xlarge
619741752970794071183
FE35DBEBB37F38FF


CERT results:
No CERT results for M2210651


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.58 ~= 55-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00