is 2 7104829 - 1
has 2138767 decimal digits
takes 1.549 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD26A15941DE1EC7Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26916.803666.6667 %500000150000000.40794.9217 %17.211568.3072 %
Target2674.182265.6716 %4500050000000.09962.3054 %4.281866.4631 %
Difference+2+12.6214+0.9950 %+455000+10000000+0.3083+2.6163%+12.9297+1.8442 %

Known prime factors (1 factor, 88.7 bits, 0.00124880% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
71048295115998107152611128564475112788.72536003668118913285095
3 × 5 × 31 × 211501 × 249863 × 1465141
2020-12-12249863146514116,757,9650.09990.1608

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-03bald2718281828v4_computers35000271250--0.0151.516%
2002-12-31bald2718281828v4_computers35000271250--0.0151.516%
2003-01-16bald2718281828v4_computers35000271250--0.0151.516%
2004-04-09bald2718281828v4_computers35000271250--0.0151.516%
2011-12-19James Heinrich3930K13500029025006--0.0903.631%
2020-12-12Dylan DelgadoManual testing500000150000001222788.7250.4015.955%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-07ANONYMOUSv4_computers212620.043
2001-11-03ANONYMOUSv4_computers212630.138
2014-02-02NesowaManual testing2632640.276
2014-02-09lycornManual testing2642650.526
2015-06-21VictordeHollanderManual testing2652661.052
2016-10-20Gordon SpenceManual testing2662672.104
2018-07-23ramgeisManual testing2672684.207
2020-05-01TJAOIManual testing2682698.414


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-16ANONYMOUSv4_computersD26A15941DE1EC7C1.549
2002-02-10bald2718281828v4_computersD26A15941DE1EC7C1.549
2002-12-31bald2718281828v4_computersD26A15941DE1EC7C1.549
2003-01-16bald2718281828v4_computersD26A15941DE1EC7C1.549
2004-04-09bald2718281828v4_computersD26A15941DE1EC7C1.549


PRP results:
dateuseridcompidcofactorsres64
2020-12-13xyuzyzvj20a
511599810715261112856447511
0812825804DCA433
2020-12-19oodairacom1
511599810715261112856447511
0812825804DCA433


CERT results:
dateuseridcompid
2020-12-19Ben Deloi-0cc272a4f451a9a02


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 135000, B2 = 2902500 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 271250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00