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
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267153.264973.1343%10000000020000000001.360712.3031%154.625676.4396%3.3053%
PrimeNet2400.000055.0000%2000500000.000012.4275%0.000060.5924%5.5924%
GPU722440.000059.0909%3600800000.00018.8197%0.000162.6990%3.6080%
Difference+23+153.2648+14.0434%+99996400+1999920000+1.3607+3.4834%+154.6255+13.7407%+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:
exponentprime factorscomposite factordigitsbits*
19387347387513317255691771962.039
19387312522706751513850363026712580.051
1938731754223037346829424795375404073097.147
19387335211392694036837225078790880054333108.118
193873102028962418092931790300392667732973737119.618
1938734932530759252838527152600309326064423138125.214
1938731303479163960536937042630836972659936581211344143.225
19387328688541009189526166078209545699471963054412145147.685
1938737581283782114799288394916090322851969204211932158350165.697
19387310620118259690106370504209590665022444038830016334
301911
56182.793
19387361768636240945259461169249283339587553816646791533
419766041001
62205.264
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-08-23T17:03:34kkmrkkblmbrbkManual testing100000000200000000012---1.361--12.303%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2019-05-23T10:49:35Yaroslav BerezhkoManual testing100000001000000033P+12685.6460.005
2021-07-11T08:33:17ATHec2-P_115000000150000000027--0.586


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-27T10:50:00J FeitsmaManual testing??39.568123.08341e-70.0026.40480e-7


ECM factoring results:

Old Calculation Method

Total ECM effort:11.033 GHz-days
Estimated T-Level:28.086
DigitsB1CurvesCompleteFacMiss
2011000676 / 1006.7600.112%
2550000676 / 2802.4148.905%
30250000395 / 6400.61753.920%

New Calculation Method

Total ECM effort:11.033 GHz-days
Estimated T-Level:28.086
DigitsB1CompleteFacMiss
201100041.9810.000%
25500005.5860.375%
302500000.56556.836%
3510000000.04595.588%
4030000000.00399.705%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002811.370
250000250000003889.461
2500003850000070.201


Lucas-Lehmer results:
Exponent "193873" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T01:45:02Oliver KruseOllaptop
5816191
814751670247
215307694529183281
C1768EE57355A6__no
2017-09-22T10:02:11Oliver KruseManual testing
5816191
814751670247
215307694529183281
C1768EE57355A6__no
2017-10-12T05:35:50kkmrkkblmbrbkc4.xlargeC1768EE57355A6__no
2019-05-23T10:43:35Yaroslav BerezhkoManual testing
5816191
814751670247
215307694529183281
0CFAFD36695C7268no
2019-05-23T10:50:53Yaroslav BerezhkoManual 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: 2021-07-11T08:33:17+00:00