is 2 2701723 - 1
has 813300 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-L998C028130721F3Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.998167.1642 %3600002873801701.79167.9600 %12.789869.7779 %
Target2630.590765.0794 %1400011000000.00821.6615 %0.598965.6596 %
Difference+4+10.4074+2.0848 %+346000+286280170+1.7834+6.2985%+12.1908+4.1183 %

Known prime factors (1 factor, 72.9 bits, 0.00269913% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
270172389537028148727209418232272.9231657035679614957
33 × 29 × 31 × 68266620509
2015-02-163168266620509353.97416.54777.98

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-08ANONYMOUSv4_computers2048204800--0.0010.675%
2003-11-28Team Prime Ribv4_computers15000217500--0.0031.690%
2010-12-16JossManual testing2000020000--0.0020.633%
2010-12-26JossManual testing3000030000--0.0040.836%
2011-01-16JossManual testing5000050000--0.0061.146%
2011-03-16James HeinrichWHS300000800000012--0.0816.576%
2023-02-24USAFSS6917th_Scty_Sq360000287380170--1.97411.234%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-30Sturle Sundeghini.ifi2602610.057
2012-05-03Grant McCrackenthumper2612620.114
2013-01-10dbaughManual testing2622630.363


ECM factoring results:
Total ECM effort:1.107 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
50000500000090.796
50000500000030.311


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13S00030v4_computers998C028130721F3A0.209


PRP results:
dateuseridcompidcofactorsres64
2017-10-19Oliver KruseGTX-2
8953702814872720941823
86ADCECFC6838D65
2017-12-04kkmrkkblmbrbkc4.xlarge
8953702814872720941823
86ADCECFC6838D65


CERT results:
No CERT results for M2701723


P-1 factor-bounds graph:
B1 = 360000, B2 = 287380170 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 360000 (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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
263
262
261
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=2.31 ~= -9-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00