is 2 83689 - 1
has 25193 decimal digits
takes 0.000 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
Actual267355.051774.6269 %1000000000808477763593509,582.518028.8334 %9,937.569681.9428 %
Target2440.000061.3636 %500500000.00002.3607 %0.000062.2757 %
Difference+23+355.0516+13.2632 %+999999500+80847776309350+9,582.5180+26.4727%+9,937.5696+19.6671 %

Known prime factors (4 factors, 312.1 bits, 0.37291354% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
83689334756001928.3192000
24 × 53
-1251256.123e-102.719e-75.533e-7
836897652479412614930087212169.3744571974460571240
23 × 3 × 5 × 223 × 170851063549
2010-02-152231708510635492,150.220.24637.814
836892145521498774360234791964467552932104.081128184199761877919128676676
22 × 3 × 7 × 74363 × 6318007 × 3248016341729
2017-02-28631800732480163417292.008e+12384.90718.87
83689161313181996535147817669968389152134110.3139637657398017370730781223840
25 × 32 × 5 × 37 × 41 × 11927 × 15199 × 24337567928621
2022-05-1515199243375679286211.893e+122,884.05,386.5

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-11-08kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 334756001
---40.447%
2022-05-15George WoltmanSkylakeX100000000080847776359350234110.31314,19667.611%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2024-01-29masserManual testing25000000147500000027--0.251
2024-01-29masserManual testing25000000147500000065--0.251
2024-01-30masserManual testing2500000014750000009619--0.251


Trial Factoring results:
5758596061626364656667
No TF results for M83689


ECM factoring results:
Total ECM effort:29.078 GHz-days
Estimated T-Level:31.231
DigitsB1CompleteFacMiss
2011000102.9900.000%
255000017.5390.000%
302500002.29010.127%
3510000000.24678.170%
4030000000.02397.774%
45110000000.00299.823%


ECM Summary

B1B2factorcurvesGHz-days
10.001
5000050000002810.438
250000250000002962.317
250000250000002892.262
10000001000000001745.899
124793733080147105018.16


Lucas-Lehmer results:
No L-L results for M83689


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
334756001
765247941261493008721
21455214987743602347919644675529
2F879B1CF1158AD7
2017-09-21Oliver KruseManual testing
334756001
765247941261493008721
21455214987743602347919644675529
2F879B1CF1158AD7
2017-11-06kkmrkkblmbrbkc4.xlarge
334756001
765247941261493008721
21455214987743602347919644675529
2F879B1CF1158AD7
2020-04-17Oliver KruseAddPrpType5
334756001
765247941261493008721
21455214987743602347919644675529
9202019F379D4456
2022-05-15George WoltmanManual testing
334756001
765247941261493008721
21455214987743602347919644675529
1613131819965351478176699683891521
9202019F379D4456


CERT results:
No CERT results for M83689


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 80847776359350 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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109
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=31.23 ~= 87-bit
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Last modified: 2024-03-13T02:15:48+00:00