is 2 556093 - 1
has 167401 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8D0CC7307472A736double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268107.185170.5882 %7000000024170965618802,786.096222.4932 %2,893.281377.2039 %
Target2440.000054.5455 %1000016000000.002015.0052 %0.002061.3660 %
Difference+24+107.1851+16.0428 %+69990000+2417094961880+2,786.0942+7.4879%+2,893.2793+15.8379 %

Known prime factors:
No known factors for M556093

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07Alex Kruppav4_computers1000004000000--0.00724.088%
2002-05-05ANONYMOUSv4_computers163841638400--0.00219.641%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00422.337%
2002-09-07ANONYMOUSv4_computers65536655360012--0.00924.985%
2003-05-11ANONYMOUSv4_computers1310721310720012--0.01827.580%
2011-06-24JossManual testing400000400000--0.00816.908%
2011-06-26JossManual testing426602426602--0.00917.106%
2011-08-09JossManual testing711003711003--0.01518.678%
2012-03-05JossManual testing888754888754--0.01919.364%
2012-07-14JossManual testing11121861112186--0.02420.051%
2013-10-11David Campeaui5-2500k13500003645000012--0.06931.979%
2014-02-14BloodIceMjolnir41000000050000000012--0.77640.270%
2014-02-21BloodIceMjolnir410000000100000000012--1.35242.342%
2023-01-17JossManual testing11131868421072660--10.1346.101%
2023-06-04JossManual testing111318653759555850--72.1750.075%
2023-10-10linamentU2K7000000070000000--1.48032.019%
2023-10-11JossJoss50343228421072660--10.2147.730%
2023-10-12linamentCyber700000002417096561880--2,78662.702%
2023-10-15JossJoss503432224272588340--29.2450.274%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-12-02masserManual testing40000001680000008111--0.314
2022-12-09masserManual testing800000021600000065--0.492
2022-12-11masserManual testing1600000049600000027--1.056


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-27ANONYMOUSv4_computers212540.004
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.017
2002-01-15ANONYMOUSv4_computers212570.035
2003-12-13ANONYMOUSv4_computers212580.069
2016-02-23Mark RoseManual testing2582610.483
2015-07-10NRManual testing2612620.552
2015-09-12Gordon SpenceManual testing2622645.296
2017-09-27BloodERazorManual testing2642656.719
2018-06-04chuenkitManual testing26526613.44
2020-08-23YxinityManual testing26626726.88
2022-04-29Gordon SpenceManual testing26726853.75


ECM factoring results:
Total ECM effort:52.630 GHz-days
Estimated T-Level:29.622
DigitsB1CompleteFacMiss
201100062.7220.000%
25500008.8430.014%
302500000.92439.677%
3510000000.07792.627%
4030000000.00599.478%


ECM Summary

B1B2factorcurvesGHz-days
5000050000004016.257
2500002500000049239.77
920313153692271186.599


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-05-25ANONYMOUSv4_computers8D0CC7307472A7360.008
2015-04-11MadPooManual testing8D0CC7307472A7360.008


PRP results:
No PRP results for M556093


CERT results:
No CERT results for M556093


P-1 factor-bounds graph:
B1 = 70000000, B2 = 2417096561880 (P-1 stage 2)
B1 = 1113186, B2 = 53759555850 (P-1 stage 2)
B1 = 5034322, B2 = 24272588340 (P-1 stage 2)
B1 = 5034322, B2 = 8421072660 (P-1 stage 2)
B1 = 1113186, B2 = 8421072660 (P-1 stage 2)
B1 = 70000000 (P-1 stage 1)
B1 = 10000000, B2 = 1000000000 (P-1 stage 2)
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 5034322 (P-1 stage 1)
B1 = 1350000, B2 = 36450000 (P-1 stage 2)
B1 = 1350000 (P-1 stage 1)
B1 = 1113186 (P-1 stage 1)
B1 = 1112186 (P-1 stage 1)
B1 = 888754 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 711003 (P-1 stage 1)
B1 = 426602 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.62 ~= 82-bit
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Last modified: 2024-03-13T02:15:48+00:00