is 2 2208061 - 1
has 664693 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-LABC2C4316CC76A4Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.457067.1642 %500000150000000.12305.1843 %13.580068.8665 %
Target2620.278264.5161 %110008500000.00541.6012 %0.283665.0843 %
Difference+5+13.1788+2.6481 %+489000+14150000+0.1176+3.5831%+13.2964+3.7822 %

Known prime factors (1 factor, 85.1 bits, 0.00385470% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2208061418734147316071787098204492685.1149481942467080207184
24 × 3 × 71 × 11411 × 51829 × 4704367
2015-11-115182947043673,548,6950.02910.0456

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-01-16JossManual testing5000050000--0.0051.277%
2012-01-07Squeeky_SquirrelP4_260013500027337506--0.0265.249%
2015-11-11Alexander DubrovinManual testing10000002500000622685.1140.1035.976%
2016-04-15alpertronManual testing5000001500000012
skipped known factor: 41873414731607178709820449
---8.274%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-02Sturle Sundebuxtehude.ifi2602610.070
2009-01-07Sturle Sundedittersdorf.ifi2612620.139
2013-12-04LaurVManual testing2622630.445
2015-03-06VictordeHollanderManual testing2632640.889
2015-03-06VictordeHollanderManual testing2642651.692
2015-10-21ramgeisManual testing2652663.384


ECM factoring results:
Total ECM effort:16.780 GHz-days
Estimated T-Level:21.896
DigitsB1CompleteFacMiss
20110003.9821.865%
25500000.37968.440%
302500000.02497.595%
3510000000.00199.884%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.146
50000590894270.644
50000690000070.693
50000700000080.798
50000311301905013.50


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-31ANONYMOUSv4_computersABC2C4316CC76A4A0.145
1999-03-01ANONYMOUSv4_computersABC2C4316CC76A4A0.145


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
41873414731607178709820449
19D7C5BBFF5A10DD
2017-10-25Oliver KruseGTX-0
41873414731607178709820449
19D7C5BBFF5A10DD


CERT results:
No CERT results for M2208061


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 2500000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 2733750 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
266
265
264
263
262
261
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.9 ~= 56-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00