is 2 177319 - 1
has 53379 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBA300EB219A131AEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267167.573273.1343 %10000000020000000001.360712.2239 %168.934076.4184 %
Target2440.000059.0909 %32003250000.00018.1305 %0.000262.4170 %
Difference+23+167.5732+14.0434 %+99996800+1999675000+1.3606+4.0934%+168.9338+14.0013 %

Known prime factors (1 factor, 96.4 bits, 0.05434923% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1773191024979102390380128924227427913096.372289021227953682382859205
37 × 5 × 317 × 76697 × 1087109561207
2010-11-217669710871095612079.050e+10396.01739.64

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00424.230%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00120.055%
2002-07-27ANONYMOUSv4_computers65536655360012--0.00322.661%
2003-02-16ANONYMOUSv4_computers1310721310720030--0.00625.226%
2003-10-08ANONYMOUSv4_computers2621442621440012--0.01127.741%
2009-01-27axnManual testing500000020000000012--0.09235.118%
2017-05-22kkmrkkblmbrbkManual testing100000000200000000012---41.827%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-10ANONYMOUSv4_computers2522530.003
2000-04-27ANONYMOUSv4_computers212540.014
2022-03-07LordJuliusManual testing254255
2001-01-21ANONYMOUSv4_computers212560.054
2002-05-25ANONYMOUSv4_computers212570.108
2022-03-07LordJuliusManual testing257258
2008-12-30Sturle Sundeklughardt.ifi2582590.217
2009-01-23Sturle Sundegoose.ifi2592600.433


ECM factoring results:
Total ECM effort:14.385 GHz-days
Estimated T-Level:29.721
DigitsB1CompleteFacMiss
201100062.2380.000%
25500008.9750.013%
302500000.94438.899%
3510000000.07892.533%
4030000000.00599.482%


ECM Summary

B1B2factorcurvesGHz-days
10.073
5000050000002781.332
2500002500000056712.98


Lucas-Lehmer results:
No L-L results for M177319


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
102497910239038012892422742791
60CD0B91EB44F1C0
2017-09-22Oliver KruseManual testing
102497910239038012892422742791
60CD0B91EB44F1C0
2017-10-12kkmrkkblmbrbkc4.xlarge
102497910239038012892422742791
60CD0B91EB44F1C0
2020-04-17Oliver KruseAddPrpType5
102497910239038012892422742791
E14B6DDA7B10641D
2024-02-03Wentao HuangManual testing
102497910239038012892422742791
E14B6DDA7B10641D


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto1035G1


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.72 ~= 82-bit
250
260
270
280
290
2100
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Last modified: 2024-02-29T14:28:04+00:00