is 2 2088973 - 1
has 628844 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEE88343BD0F7BA42double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.224268.6567 %2880002877720301.52077.4815 %15.744971.0017 %
Target2620.294166.1290 %90007000000.00441.4001 %0.298566.6033 %
Difference+5+13.9301+2.5277 %+279000+287072030+1.5163+6.0814%+15.4464+4.3984 %

Known prime factors (1 factor, 70.5 bits, 0.00337543% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
208897316833317650732383530572270.512402908933019536
24 × 25181808313721
2016-02-201625181808313721114.39130,801244,299

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-27ANONYMOUSv4_computers204820480012--0.0010.769%
2009-07-26USAFSSP4_260020000260000--0.0032.110%
2010-12-28JossManual testing3000030000--0.0030.928%
2011-01-08JossManual testing5000050000--0.0051.264%
2011-02-14James HeinrichQ660013500029362506--0.0275.288%
2023-01-27USAFSSUSAFSACS288000287772030--1.56211.596%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-17Ethan O'Connorv4_computers212580.018
2016-02-23Mark RoseManual testing2582600.055
2009-01-02Sturle Sundekorsmo.ifi2602610.074
2012-03-19Sebastian HornbostelManual testing2612620.147
2013-09-03ramgeisManual testing2622630.470
2015-04-10VictordeHollanderManual testing2632640.940
2015-04-10VictordeHollanderManual testing2642651.789
2015-11-06ramgeisManual testing2652663.577


ECM factoring results:
Total ECM effort:11.656 GHz-days
Estimated T-Level:22.013
DigitsB1CompleteFacMiss
20110004.2071.490%
25500000.40366.864%
302500000.02797.384%
3510000000.00199.870%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.395
50000500000030.255
50000666767770.676
50000685075670.685
50000715000070.700
500002702353571.709
622528942970506.236


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29Ethan O'Connorv4_computersEE88343BD0F7BA420.137


PRP results:
dateuseridcompidcofactorsres64
2017-10-06Oliver KruseGTX-2
1683331765073238353057
6BFBB63E61EA67C1
2017-11-16kkmrkkblmbrbkc4.xlarge
1683331765073238353057
6BFBB63E61EA67C1


CERT results:
No CERT results for M2088973


P-1 factor-bounds graph:
B1 = 288000, B2 = 287772030 (P-1 stage 2)
B1 = 288000 (P-1 stage 1)
B1 = 135000, B2 = 2936250 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=22.01 ~= 57-bit
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Last modified: 2024-02-29T14:28:04+00:00