is 2 493747 - 1
has 148633 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB08D3FC2F78CE2B4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26760.180571.6418 %30000001000000000.14157.2691 %60.321973.7032 %
Target2440.000056.8182 %900014000000.001414.3340 %0.001563.0079 %
Difference+23+60.1804+14.8236 %+2991000+98600000+0.1400-7.0649 %+60.3205+10.6953 %

Known prime factors (3 factors, 263.3 bits, 0.05333672% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
49374729968654185345075210172271.3443034818863238164
22 × 509 × 1490579009449
2008-03-245091490579009449968.271,386.92,590.3
49374712486307894172772540830712580.0471264443925145142405
3 × 5 × 103 × 631 × 38851 × 33384089
2014-12-013885133384089495,9350.03170.0580
493747504292524273667950224898894742403334111.9585106790768082316958127329328
24 × 12959 × 16657 × 1478630997467742541
2020-08-141665714786309974677425412.600e+111.376e+92.570e+9

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-01ANONYMOUSv4_computers500001000000--0.00219.429%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00422.093%
2002-09-22ANONYMOUSv4_computers65536655360012--0.00724.738%
2003-04-27ANONYMOUSv4_computers1310721310720030--0.01427.330%
2014-12-01alpertronManual testing30000001000000001222580.0470.14134.994%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-05-05ANONYMOUSv4_computers212540.005
2022-03-07LordJuliusManual testing254255
2001-04-01ANONYMOUSv4_computers212560.019
2002-01-15ANONYMOUSv4_computers212570.039
2003-12-23ANONYMOUSv4_computers212580.078


ECM factoring results:
Total ECM effort:12.954 GHz-days
Estimated T-Level:26.433
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.022
5000050000002793.605
25000025000000563.627
25000025000000885.699


Lucas-Lehmer results:
No L-L results for M493747


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseDoppelherz
2996865418534507521017
1248630789417277254083071
25624A51C8A44123
2017-09-27Oliver KruseManual testing
2996865418534507521017
1248630789417277254083071
25624A51C8A44123
2017-10-13Oliver KruseGTX-3
2996865418534507521017
1248630789417277254083071
25624A51C8A44123
2017-12-17ATHxps
2996865418534507521017
1248630789417277254083071
25624A51C8A44123
2020-04-18Oliver KruseAddPrpType5
2996865418534507521017
1248630789417277254083071
934A7889877FFBF7
2020-08-14M Millercruncher
2996865418534507521017
1248630789417277254083071
5042925242736679502248988947424033
934A7889877FFBF7


CERT results:
dateuseridcompid
2020-08-14Xyzzy3950X


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (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 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-02-09T03:30:02+00:00