is 2 193873 - 1
has 58362 decimal digits
takes 0.001 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
Actual267153.264973.1343%10000000020000000001.360712.3031%154.625676.4396%
Target2440.000059.0909%3600800000.00018.8197%0.000162.6990%
Difference+23+153.2648+14.0434%+99996400+1999920000+1.3607+3.4834%+154.6255+13.7407%

Known prime factors (4 factors, 205.3 bits, 0.10587575% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1938735816191722.47215
3 × 5
-352.891e-122.079e-84.082e-8
1938738147516702471239.5682101251
3 × 17 × 41201
2008-07-2717412016.861e-71.512e-52.803e-5
1938732153076945291832811857.579555280246680
23 × 3 × 5 × 4627335389
2014-07-28846273353890.15691.68563.1483
193873605402963796010777931446732685.646156133903069537990832
24 × 17 × 13711 × 41865779480821
2019-05-23137114186577948082170,090,86215,25128,484

11 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-08-23kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 5816191
skipped known factor: 814751670247
--1.361--12.303%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2019-05-23YarBerManual testing100000001000000033P+12685.6460.005
2021-07-11ATHec2-P_115000000150000000027--0.586


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-27J FeitsmaManual testing??39.568123.08341e-70.0026.40480e-7


ECM factoring results:
Total ECM effort:13.382 GHz-days
Estimated T-Level:28.783
DigitsB1CompleteFacMiss
201100051.2550.000%
25500007.2690.070%
302500000.75746.923%
3510000000.06294.007%
4030000000.00499.589%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002811.370
250000250000003889.461
2500003125000070.185
25000036000000290.810
2500003850000070.201
25000055133578571.355


Lucas-Lehmer results:
No L-L results for M193873


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseOllaptop
5816191
814751670247
215307694529183281
C1768EE57355A6__no
2017-09-22Oliver KruseManual testing
5816191
814751670247
215307694529183281
C1768EE57355A6__no
2017-10-12kkmrkkblmbrbkc4.xlargeC1768EE57355A6__no
2019-05-23YarBerManual testing
5816191
814751670247
215307694529183281
0CFAFD36695C7268no
2019-05-23YarBerManual testing
5816191
814751670247
215307694529183281
60540296379601077793144673
0CFAFD36695C7268no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 10000000 (P+1 stage 1)
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TF factor-bounds graph:
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Last modified: 2023-01-25T22:39:20+00:00