is 2 2068063 - 1
has 622549 decimal digits
takes 0.136 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L22447C35CD8EA5A2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.368068.6567 %2880002877720301.52077.4729 %15.888770.9990 %
Target2620.297166.1290 %90006500000.00421.3661 %0.301366.5917 %
Difference+5+14.0709+2.5277 %+279000+287122030+1.5165+6.1068%+15.5875+4.4072 %

Known prime factors (1 factor, 68.0 bits, 0.00328914% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20680632995668844555465965612168.02172426924241560
23 × 32 × 5 × 7 × 6073 × 4732561
2016-02-196073473256128.8220.02510.0459

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-24ANONYMOUSv4_computers204820480012--0.0010.767%
2009-07-24USAFSSP4_260020000260000--0.0032.107%
2010-12-26JossManual testing3000030000--0.0030.926%
2011-01-06JossManual testing5000050000--0.0051.261%
2011-01-18James HeinrichQ660013500030712506--0.0285.329%
2014-11-03JossManual testing166036166036--0.0162.307%
2023-01-27USAFSS6917th_Scty_Sq288000287772030
skipped known factor: 299566884455546596561
--1.56211.585%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-26ANONYMOUSv4_computers212580.019
2016-02-23Mark RoseManual testing2582600.056
2009-01-03Sturle Sundehaydn.ifi2602610.074
2012-03-14Sebastian HornbostelManual testing2612620.149
2013-09-01ramgeisManual testing2622630.475
2015-03-28VictordeHollanderManual testing2632640.949
2015-03-28VictordeHollanderManual testing2642651.807
2015-11-04ramgeisManual testing2652663.613


ECM factoring results:
Total ECM effort:13.036 GHz-days
Estimated T-Level:22.218
DigitsB1CompleteFacMiss
20110004.5701.036%
25500000.44464.177%
302500000.03097.075%
3510000000.00199.852%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.394
50000500000010.085
50000653388070.669
50000654472070.669
50000700000070.691
50000704069270.693
500002702353581.949
681329994547506.886


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-14MadPooManual testing22447C35CD8EA5A20.136


PRP results:
dateuseridcompidcofactorsres64
2017-10-06Oliver KruseGTX-1
299566884455546596561
3D186DCEC8645517
2017-11-16ATHec2-1xh
299566884455546596561
3D186DCEC8645517


CERT results:
No CERT results for M2068063


P-1 factor-bounds graph:
B1 = 288000, B2 = 287772030 (P-1 stage 2)
B1 = 135000, B2 = 3071250 (P-1 stage 2)
B1 = 288000 (P-1 stage 1)
B1 = 166036 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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:
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=22.22 ~= 57-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00