is 2 98543 - 1
has 29665 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
Actual267301.532574.6269 %10000000007055259686475012,388.947028.8488 %12,690.479581.9467 %
Target2440.000061.3636 %1100800000.00003.8869 %0.000062.8654 %
Difference+23+301.5325+13.2632 %+999998900+70552596784750+12,388.9470+24.9620%+12,690.4795+19.0813 %

Known prime factors (4 factors, 292.4 bits, 0.29677288% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9854328350713067309111651.33214384945185
5 × 13 × 283 × 782003
2014-04-232837820030.00460.00010.0003
9854317160058221635924331960.5748706888475912
23 × 11 × 47 × 2105147117
2009-11-024721051471171.90000.36960.6903
98543193245972057000922701639612683.99998051597808571345860
22 × 32 × 5 × 37 × 1301 × 11316266051821
2017-05-0413011131626605182135,110,9161,986.63,710.5
985431155304389242304032109472997293096.544586193027024904880158648
23 × 32 × 7 × 89 × 229 × 1019 × 4881559 × 11472337
2016-09-124881559114723372.576e+110.01690.0320

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-12kkmrkkblmbrbkManual testing5000000400000001223096.5440.02228.966%
2017-02-05kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 2835071306730911
skipped known factor: 115530438924230403210947299729
---40.751%
2022-08-31George WoltmanSkylakeX100000000070552596864750
skipped known factor: 2835071306730911
skipped known factor: 1716005822163592433
skipped known factor: 19324597205700092270163961
skipped known factor: 115530438924230403210947299729
--14,55767.624%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-23nordisweet1640000000200000000027--0.533
2021-04-29nordisweet1640000000200000000065--0.533


Trial Factoring results:
5758596061626364656667
No TF results for M98543


ECM factoring results:
Total ECM effort:12.963 GHz-days
Estimated T-Level:30.775
DigitsB1CompleteFacMiss
201100085.9460.000%
255000013.4440.000%
302500001.59720.256%
3510000000.15585.636%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
10.002
110001100000250.012
5000050000002740.636
250000250000004935.722
250000250000001361.578
10000001000000001085.014


Lucas-Lehmer results:
No L-L results for M98543


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
2835071306730911
1716005822163592433
115530438924230403210947299729
19324597205700092270163961
D924D0EBA8BB7BF8
2017-09-21Oliver KruseManual testing
2835071306730911
1716005822163592433
115530438924230403210947299729
19324597205700092270163961
D924D0EBA8BB7BF8
2017-11-06kkmrkkblmbrbkc4.xlarge
2835071306730911
1716005822163592433
19324597205700092270163961
115530438924230403210947299729
D924D0EBA8BB7BF8
2020-04-17Oliver KruseAddPrpType5
2835071306730911
1716005822163592433
19324597205700092270163961
115530438924230403210947299729
E4C4E0DEB76104D5
2024-02-03Wentao HuangManual testing
2835071306730911
1716005822163592433
115530438924230403210947299729
19324597205700092270163961
E4C4E0DEB76104D5


CERT results:
No CERT results for M98543


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 70552596864750 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 40000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
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109
100
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109
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1014
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.78 ~= 86-bit
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Last modified: 2024-03-13T02:15:48+00:00