is 2 98573 - 1
has 29674 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown10000000007055259686475012,388.947076.1988%12,388.947076.1988%76.1988%
PrimeNet2400.000057.5000%1100180000.00007.9302%0.000060.8703%3.3703%
GPU722440.000061.3636%1100160000.00003.8871%0.000062.8655%1.5018%
Difference-440.0000-61.3636%+999998900+70552596848750+12,388.9470+72.3117%+12,388.9470+13.3333%+74.6969%

Known prime factors (3 factors, 257.6 bits, 0.26137303% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
985735322943722.34427
33
-27275.702e-128.700e-81.771e-7
98573209068215012808752356610755512994.078106047403960926801637675
52 × 101 × 41998971865713584807
2019-02-19101419989718657135848076.603e+107.373e+91.377e+10
98573325014050868396459979748275326811582453063343141.22116485957151978557007484213492884034292
22 × 3 × 11 × 13 × 37 × 337039 × 3555113 × 319692991 × 677842003973
2022-08-313196929916778420039731.507e+12119.97222.26

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
9857311128581916249252586953547247666659336116.422
985731730031266971574857873981223912924425137456121291950163.565
9857367950107469137872290277089197007993041463625687292
110028007162526853783
71235.299
9857336169454890209515334242440000158931750410751610679
1726028810529722178656243369
78257.643
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-02-05T22:55:32kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 5322943
--0.656--40.752%
2022-08-31T23:33:30George WoltmanSkylakeX10000000007055259686475043141.22112,3890.00024,77867.625%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-23T11:02:51nordisweet1640000000200000000027--0.533
2021-04-29T01:27:47nordisweet1640000000200000000065--0.533


Trial Factoring results:
No TF results for M98573


ECM factoring results:
Total ECM effort:12.965 GHz-days
Estimated T-Level:30.775
DigitsB1CompleteFacMiss
201100085.9910.000%
255000013.4460.000%
302500001.59720.255%
3510000000.15585.636%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.015
5000050000002740.636
250000250000006297.300
10000001000000001054.874
100000010000000030.139


Lucas-Lehmer results:
No L-L results for M98573


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:51:59Oliver KrusePRP
5322943
91098464304F26__no
2017-09-21T21:30:27Oliver KruseManual testing
5322943
91098464304F26__no
2017-10-13T09:00:46kkmrkkblmbrbkManual testing
5322943
91098464304F26__no
2019-02-20T10:40:50artorollofourth
5322943
20906821501280875235661075551
0A324F24236E5B5Dno
2019-02-20T16:35:52alexManual testing
5322943
20906821501280875235661075551
0A324F24236E5B5Dno
2019-02-21T09:30:02kkmrkkblmbrbkc5.large
5322943
20906821501280875235661075551
0A324F24236E5B5Dno
2022-09-01T03:05:56George WoltmanManual testing
5322943
20906821501280875235661075551
3250140508683964599797482753268115824530633
0A324F24236E5B5Dno
2022-09-01T07:14:40BloodIceMjolnir4
5322943
20906821501280875235661075551
3250140508683964599797482753268115824530633
0A324F24236E5B5Dno


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)
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TF factor-bounds graph:
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Last modified: 2022-09-01T07:14:40+00:00