is 2 55469 - 1
has 16698 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L87E5B61ED4B910E0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267535.685176.1194 %63000000082076369316942076,908.862430.8948 %77,444.547583.4973 %
Target2440.000063.6364 %500500000.00002.1015 %0.000064.4005 %
Difference+23+535.6851+12.4830 %+629999500+820763693119420+76,908.8624+28.7934%+77,444.5475+19.0967 %

Known prime factors (1 factor, 98.7 bits, 0.17786548% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
554695008190687758178199385465788233098.6604514405062069063981129519
11 × 67 × 17851 × 110651 × 3101095517287
2009-05-3011065131010955172871.157e+12290.58542.72

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00121.964%
2001-08-18Alex Kruppav4_computers1000000100000000--0.01130.102%
2002-04-28ANONYMOUSv4_computers163841638400--0.00015.286%
2002-06-09ANONYMOUSv4_computers327683276800--0.00017.864%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00120.420%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00122.945%
2003-03-27ANONYMOUSv4_computers2621442621440030--0.00325.431%
2003-04-27ANONYMOUSv4_computers104857610485760048--0.01230.265%
2003-06-01ANONYMOUSv4_computers209715220971520012--0.02332.601%
2003-07-30ANONYMOUSv4_computers419430441943040012--0.04634.881%
2003-10-23ANONYMOUSv4_computers838860883886080012--0.09237.101%
2003-11-08ANONYMOUSv4_computers16777216167772160012--0.18439.259%
2016-09-29kkmrkkblmbrbkManual testing100000000200000000012---39.685%
2023-04-21JacobZGreatLakes630000000820763693169420
skipped known factor: 500819068775817819938546578823
--120,67771.039%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-02ATHcolab-Pp215000000150000000027--0.176
2021-11-14fbaurubuntu50000000400000000065--0.493


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-29ANONYMOUSv4_computers2522530.011
2000-04-05ANONYMOUSv4_computers212540.043
2000-11-05ANONYMOUSv4_computers212560.173
2002-10-26ANONYMOUSv4_computers212570.346
2022-05-07LordJuliusWhitebox257258
2022-05-07LordJuliusWhitebox258259
2009-01-26Sturle Sundedoak.ifi2592601.384


ECM factoring results:
Total ECM effort:137.856 GHz-days
Estimated T-Level:33.281
DigitsB1CompleteFacMiss
2011000170.6330.000%
255000034.5070.000%
302500005.3170.491%
3510000000.65651.885%
4030000000.06793.534%
45110000000.00699.418%


ECM Summary

B1B2factorcurvesGHz-days
10.541
5000050000001430.161
250000250000003191.973
100000010000000047213.03
1000000330801471041.132
100000041350859555017.48
1938880415047008415054.97
2790157114863248505048.56


Lucas-Lehmer results:
No L-L results for M55469


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
500819068775817819938546578823
DFF995EF2C898B23
2017-09-21Oliver KruseManual testing
500819068775817819938546578823
DFF995EF2C898B23
2017-10-13kkmrkkblmbrbkManual testing
500819068775817819938546578823
DFF995EF2C898B23
2020-04-17Oliver KruseAddPrpType5
500819068775817819938546578823
89C597A39E715FFF
2024-02-03Wentao HuangManual testing
500819068775817819938546578823
89C597A39E715FFF


CERT results:
No CERT results for M55469


P-1 factor-bounds graph:
B1 = 630000000, B2 = 820763693169420 (P-1 stage 2)
B1 = 630000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
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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259
258
257
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253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=33.28 ~= 94-bit
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Last modified: 2024-03-03T02:29:32+00:00