is 2 907427 - 1
has 273163 decimal digits
takes 0.022 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L69D3C5E1ADA39858double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26732.745270.1493 %935000261800000.08125.5461 %32.826571.8048 %
Target2440.000054.5455 %1500030000000.006218.0027 %0.006262.7285 %
Difference+23+32.7452+15.6038 %+920000+23180000+0.0750-12.4567 %+32.8202+9.0763 %

Known prime factors (1 factor, 92.3 bits, 0.01016992% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
90742760314792854908873872263966072892.2853323396419486574339989
3323396419486574339989
2014-03-21133233964194865743399891.105e+96.367e+121.189e+13

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.157%
2002-02-17ANONYMOUSv4_computers4096409600--0.00115.080%
2002-04-28ANONYMOUSv4_computers8192819200--0.00217.878%
2002-05-18ANONYMOUSv4_computers163841638400--0.00420.638%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00723.354%
2002-12-25ANONYMOUSv4_computers65536655360012--0.01526.018%
2003-07-30ANONYMOUSv4_computers1310721310720012--0.02928.624%
2011-06-07JossManual testing200000200000--0.00715.552%
2011-07-13JossManual testing226090226090--0.00815.933%
2011-09-11JossManual testing376817376817--0.01317.524%
2011-12-03JossManual testing753635753635--0.02619.679%
2013-10-08David Campeaui5-2500k9350002618000012--0.08131.871%
2016-03-17alpertronManual testing20000050000006---26.208%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-12-14ANONYMOUSv4_computers212560.011
2001-09-30ANONYMOUSv4_computers212570.021
2003-02-24ANONYMOUSv4_computers212580.042
2022-03-07LordJuliusManual testing258260
2010-05-31Architects Cubedi4l_12602610.169


ECM factoring results:
Total ECM effort:13.958 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.056
5000050000002797.717
25000025000000446.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22ANONYMOUSv4_computers69D3C5E1ADA398580.022


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
6031479285490887387226396607
FF0F92327543E0BD
2017-10-14Oliver KruseThreadripper-PC
6031479285490887387226396607
FF0F92327543E0BD
2017-12-20ATHec2-1xh
6031479285490887387226396607
FF0F92327543E0BD
2020-04-23Oliver KruseAddPrpType5
6031479285490887387226396607
BBF9F87BF068D625


CERT results:
No CERT results for M907427


P-1 factor-bounds graph:
B1 = 935000, B2 = 26180000 (P-1 stage 2)
B1 = 935000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 753635 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 376817 (P-1 stage 1)
B1 = 226090 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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258
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256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00