is 2 2706953 - 1
has 814875 decimal digits
takes 0.209 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9ED37D10420D874Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26822.019267.6471 %7200008685495005.37589.1597 %27.395070.6105 %
Target2630.589665.0794 %1400011000000.00821.6621 %0.597865.6598 %
Difference+5+21.4296+2.5677 %+706000+867449500+5.3676+7.4976%+26.7972+4.9507 %

Known prime factors (1 factor, 78.8 bits, 0.00291130% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27069535289313620228379194099192478.80797698660084389703
3 × 139 × 2321587 × 100917757
2020-08-06232158710091775722,6150.86161.1501

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-08ANONYMOUSv4_computers2048204800--0.0010.676%
2003-11-28Team Prime Ribv4_computers15000217500--0.0031.690%
2010-12-16JossManual testing2000020000--0.0020.633%
2010-12-26JossManual testing3000030000--0.0040.836%
2011-01-18JossManual testing5000050000--0.0061.146%
2011-03-28James HeinrichWHS300000800000012--0.0816.577%
2018-08-06JossManual testing60000060000006--0.1106.618%
2023-04-17Kevin_9611Factor_2720000868549500--5.92413.566%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-02-08ANONYMOUSv4_computers212590.014
2016-02-23Mark RoseManual testing2592600.028
2009-01-31Sturle Sundeklengel.ifi2602610.057
2012-04-28Grant McCrackenthumper2612620.113
2013-01-14dbaughManual testing2622630.363
2015-04-13VictordeHollanderManual testing2632640.725
2015-04-13VictordeHollanderManual testing2642651.380
2016-01-29ramgeisManual testing2652662.761
2017-09-29Gordon SpenceManual testing2662675.521
2019-02-11chuenkitManual testing26726811.04


ECM factoring results:
Total ECM effort:3.946 GHz-days
Estimated T-Level:20.682
DigitsB1CompleteFacMiss
20110001.48022.773%
25500000.13687.254%
302500000.00999.146%


ECM Summary

B1B2factorcurvesGHz-days
500005000030.174
500005000000363.570
50000500000020.202


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-09ANONYMOUSv4_computers9ED37D10420D874A0.209
1999-06-06ANONYMOUSv4_computers9ED37D10420D874A0.209
2018-08-01kkmrkkblmbrbkold9ED37D10420D874A0.204


PRP results:
dateuseridcompidcofactorsres64
2020-08-06M Millercruncher
528931362022837919409919
37D16D7CC2FAF3EE
2020-08-07kutensterra
528931362022837919409919
37D16D7CC2FAF3EE


CERT results:
No CERT results for M2706953


P-1 factor-bounds graph:
B1 = 720000, B2 = 868549500 (P-1 stage 2)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 720000 (P-1 stage 1)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=20.68 ~= 52-bit
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00