is 2 2039221 - 1
has 613867 decimal digits
takes 0.134 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L455B4D86F1F68E14double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.571268.6567 %500000150000000.12305.1350 %14.694270.2662 %
Target2620.301366.1290 %90006000000.00391.3288 %0.305266.5791 %
Difference+5+14.2699+2.5277 %+491000+14400000+0.1191+3.8062%+14.3890+3.6871 %

Known prime factors (1 factor, 67.6 bits, 0.00331301% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20392212175154288996807935612167.56053332970997180
22 × 3 × 5 × 7 × 29 × 4378733251
2016-02-1829437873325114.57122.74442.480

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-24ANONYMOUSv4_computers204820480012--0.0010.764%
2009-02-10markrManual testing10000030000006--0.0255.081%
2014-07-04JossManual testing131475131475--0.0132.070%
2014-10-17JossManual testing162950162950--0.0162.283%
2015-10-05Bruno Victal4790K-windows5000001500000012--0.1078.202%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-10ANONYMOUSv4_computers212580.019
2016-02-23Mark RoseManual testing2582600.056
2009-01-03Sturle Sundegimo.ifi2602610.075
2012-02-11Sebastian HornbostelManual testing2612620.151
2013-08-30ramgeisManual testing2622630.481
2015-04-13VictordeHollanderManual testing2632640.963
2015-04-13VictordeHollanderManual testing2642651.832
2015-11-01ramgeisManual testing2652663.665


ECM factoring results:
Total ECM effort:54.794 GHz-days
Estimated T-Level:25.768
DigitsB1CompleteFacMiss
201100011.7650.001%
25500001.55921.029%
302500000.15485.769%
3510000000.01298.813%


ECM Summary

B1B2factorcurvesGHz-days
500005000000362.651
50000500000010.074
50000707775370.603
50000389106905015.90
500004503922572.591
250000400000007232.97


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29ANONYMOUSv4_computers455B4D86F1F68E140.134


PRP results:
dateuseridcompidcofactorsres64
2017-10-06Oliver KruseGTX-3
217515428899680793561
4F2F16015F4F1510
2017-11-14kkmrkkblmbrbkc4.xlarge
217515428899680793561
4F2F16015F4F1510


CERT results:
No CERT results for M2039221


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 3000000 (P-1 stage 2)
B1 = 162950 (P-1 stage 1)
B1 = 131475 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
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=25.77 ~= 69-bit
250
260
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Last modified: 2024-02-29T14:28:04+00:00