is 2 289099 - 1
has 87028 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267102.781171.6418 %20000006905293395037.295813.8103 %140.076975.5582 %
Target2440.000056.8182 %50006500000.000410.8907 %0.000461.5210 %
Difference+23+102.7811+14.8236 %+1995000+69052283950+37.2954+2.9196%+140.0765+14.0372 %

Known prime factors (2 factors, 186.3 bits, 0.06443445% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
289099640844794561765230999672375.762110834834185134717
3 × 7 × 271 × 2213 × 7079 × 1243181
2014-04-237079124318133,3260.00070.0013
289099185747119217901373170510095378392934110.5173212517497775872160929475636
22 × 33 × 29745532386813631119717367
2020-11-0627297455323868136311197173676.505e+111.606e+162.999e+16

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-02-06Lisander ViaeneManual testing5000050000--0.0019.708%
2023-03-19Naegi Makoto5950X200000069052933950
skipped known factor: 64084479456176523099967
--45.8649.944%


Trial Factoring results:
5758596061626364656667
No TF results for M289099


ECM factoring results:
Total ECM effort:19.120 GHz-days
Estimated T-Level:28.773
DigitsB1CompleteFacMiss
201100051.3080.000%
25500007.2390.072%
302500000.75547.017%
3510000000.06294.010%
4030000000.00499.588%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.056
250000250000001214.463
25000025000000441.610
2500003223030170.292
2500003425000070.294
2500003525000070.297
2500003675000023410.11


Lucas-Lehmer results:
No L-L results for M289099


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
64084479456176523099967
81CBB27F1F034FF5
2017-09-22Oliver KruseManual testing
64084479456176523099967
81CBB27F1F034FF5
2017-10-12Oliver KruseGTX-1
64084479456176523099967
81CBB27F1F034FF5
2017-11-06kkmrkkblmbrbkc4.xlarge
64084479456176523099967
81CBB27F1F034FF5
2020-04-17Oliver KruseAddPrpType5
64084479456176523099967
DB82211B7092705B
2020-11-06mnd9vv
64084479456176523099967
1857471192179013731705100953783929
DB82211B7092705B
2020-11-07mrhw
64084479456176523099967
1857471192179013731705100953783929
DB82211B7092705B


CERT results:
dateuseridcompid
2020-11-07Ben Deloi-0b68bec623456ab63
2020-11-20Simon Josefssoncto9


P-1 factor-bounds graph:
B1 = 2000000, B2 = 69052933950 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.77 ~= 79-bit
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Last modified: 2024-03-13T02:15:48+00:00