is 2 523969 - 1
has 157731 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L02346A92499C4862double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26756.709371.6418 %100000008300000001.156210.7613 %57.865574.6935 %
Target2440.000056.8182 %900015000000.001914.6043 %0.001963.1246 %
Difference+23+56.7093+14.8236 %+9991000+828500000+1.1543-3.8430 %+57.8636+11.5689 %

Known prime factors (1 factor, 93.5 bits, 0.01784091% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
523969138207042343959527874928562472993.48113188475114363590963867
32 × 11 × 133216920347106979433
2009-09-12111332169203471069794333.828e+91.535e+112.867e+11

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00011.158%
2002-01-22ANONYMOUSv4_computers4096409600--0.00114.029%
2002-02-10Jossv4_computers10000100000--0.00012.049%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00422.215%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00924.861%
2003-04-27ANONYMOUSv4_computers1310721310720030--0.01827.455%
2016-03-17alpertronManual testing15000005000000012---32.852%
2021-06-07happy5214Manual testing10000000830000000--0.98941.670%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-08happy5214Manual testing500000036500000027--0.485


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-15ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-01ANONYMOUSv4_computers212560.018
2002-01-02ANONYMOUSv4_computers212570.037
2003-12-23ANONYMOUSv4_computers212580.073


ECM factoring results:
Total ECM effort:16.044 GHz-days
Estimated T-Level:26.432
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.042
5000050000002784.409
2500002500000014411.59


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-20ANONYMOUSv4_computers02346A92499C48620.008


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-2
13820704234395952787492856247
8F7D7A71CFD1B6E5
2017-09-28Oliver KruseManual testing
13820704234395952787492856247
8F7D7A71CFD1B6E5
2017-11-07kkmrkkblmbrbkc4.xlarge
13820704234395952787492856247
8F7D7A71CFD1B6E5
2020-04-19Oliver KruseAddPrpType5
13820704234395952787492856247
A1082FC852628C74


CERT results:
No CERT results for M523969


P-1 factor-bounds graph:
B1 = 10000000, B2 = 830000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 10000, B2 = 100000 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 10000 (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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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-02-29T14:28:04+00:00