is 2 1811 - 1
has 546 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
Actual26716,407.464183.5821 %40000000000013107780319897563302,108,434.041042.4537 %2,124,841.505190.5521 %
Target2440.001375.0000 %500500000.00000.7362 %0.001375.1840 %
Difference+23+16,407.4628+8.5821 %+399999999500+1310778031989706330+2,108,434.0410+41.7175%+2,124,841.5038+15.3681 %

Known prime factors (5 factors, 594.9 bits, 32.84701564% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18113623411.8231
1
-111.505e-132.952e-116.009e-11
18114997300134031295431858.794137970738101361
3 × 11 × 97 × 433 × 599 × 166183
-59916618338.9222.840e-74.993e-7
18111891914051300502844061148445297655093186492919920750163.6945223396055495590403261039329921742388698213473
3 × 72 × 41 × 1013 × 399211039 × 1545482430949 × 1386678256195497493
2008-11-22154548243094913866782561954974931.020e+142,230,5544,165,972
181121098051182521607691533680149621482914854011941754
87
52170.495582497271742727987066087248747141991023026282213
3 × 132 × 17 × 710261 × 95152246535277340939568587214891346707
2019-10-28710261951522465352773409395685872148913467077.344e+131.531e+262.859e+26
181116277627469680386840048931470722841416825360125626
17241927
58190.05344940992461845352954304062591725128152472004764290
9233

3 × 72 × 19 × 89 × 433 × 1667 × 5381 × 8353 × 55725342576372451331134203422382223
2019-10-318353557253425763724513311342034223822231.020e+148.964e+221.674e+23

26 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-07kkmrkkblmbrbkManual testing100000000010000000000012
skipped known factor: 3623
skipped known factor: 499730013403129543
---44.556%
2021-12-17firejugglerMaison4084060633437221820308052380
skipped known factor: 3623
skipped known factor: 499730013403129543
--86,01274.005%
2022-10-09mikrNitron4000000000001310778031989756330
skipped known factor: 3623
skipped known factor: 499730013403129543
--500,00080.688%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-24ViliamF3100000000022100000000027--0.457


Trial Factoring results:
5758596061626364656667
No TF results for M1811


ECM factoring results:
Total ECM effort:166,428.677 GHz-days
Estimated T-Level:61.962
DigitsB1CompleteFacMiss
201100067,435.4500.000%
255000027,871.3020.000%
3025000010,546.3330.000%
3510000003,329.3520.000%
403000000923.4660.000%
4511000000231.5280.000%
504400000052.7910.000%
5511000000011.0270.002%
602600000002.15011.648%
658000000000.39267.548%
7024000000000.06593.671%
7572000000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
11.93431e-5
44000000440000000016,044299.9
11000000011000000010.032
1100000001100000000018,346857.4
26000000026000000010.075
2600000002600000000057,6206,365
8500000008500000000038,99214,081
1350000000136972264870201,53634,606
1350000000209798538658951,53652,637
1350000000229772558998261,53657,583


Lucas-Lehmer results:
No L-L results for M1811


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PCBD772D05D507A7__
2017-10-02kkmrkkblmbrbkManual testing
3623
499730013403129543
18919140513005028440611484452976550931864929199207
BD772D05D507A7D5
2017-12-07ATHManual testing
3623
499730013403129543
18919140513005028440611484452976550931864929199207
BD772D05D507A7D5
2019-10-29nordinordiputer
3623
499730013403129543
18919140513005028440611484452976550931864929199207
21098051182521607691533680149621482914854011941754
87
93F52C42D61D3A89
2019-10-29qq1010903229School_Computers_5
3623
499730013403129543
18919140513005028440611484452976550931864929199207
21098051182521607691533680149621482914854011941754
87
93F52C42D61D3A89
2019-10-29mnd975201b
3623
499730013403129543
18919140513005028440611484452976550931864929199207
21098051182521607691533680149621482914854011941754
87
93F52C42D61D3A89
2019-10-31nordinordiputer
3623
499730013403129543
18919140513005028440611484452976550931864929199207
21098051182521607691533680149621482914854011941754
87
16277627469680386840048931470722841416825360125626
17241927
93F52C42D61D3A89
2019-11-02_p95holder_TFL5_PRPt16-E_q
3623
499730013403129543
18919140513005028440611484452976550931864929199207
21098051182521607691533680149621482914854011941754
87
16277627469680386840048931470722841416825360125626
17241927
93F52C42D61D3A89
2019-11-03fre_gamesgpu
3623
499730013403129543
18919140513005028440611484452976550931864929199207
21098051182521607691533680149621482914854011941754
87
16277627469680386840048931470722841416825360125626
17241927
93F52C42D61D3A89
2020-04-17Oliver KruseIOS-1
3623
499730013403129543
18919140513005028440611484452976550931864929199207
21098051182521607691533680149621482914854011941754
87
16277627469680386840048931470722841416825360125626
17241927
93F52C42D61D3A89
2022-05-12Jorge CoveiroManual testing
3623
93F52C42D61D3A89


CERT results:
No CERT results for M1811


P-1 factor-bounds graph:
B1 = 400000000000, B2 = 1310778031989756330 (P-1 stage 2)
B1 = 40840606334, B2 = 37221820308052380 (P-1 stage 2)
B1 = 400000000000 (P-1 stage 1)
B1 = 40840606334 (P-1 stage 1)
B1 = 1000000000, B2 = 100000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=61.96 ~= 189-bit
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Last modified: 2024-03-13T02:15:48+00:00