is 2 273289 - 1
has 82269 decimal digits
takes 0.002 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
Actualunknown55500002278955133012.354658.3419%12.354658.3419%58.3419%
PrimeNet2400.000052.5000%2800800000.000114.8524%0.000159.5549%7.0549%
GPU722440.000056.8182%50001300000.000110.8001%0.000161.4819%4.6637%
Difference-440.0000-56.8182%+5545000+22789421330+12.3544+47.5418%+12.3544-3.1400%-3.1400%

Known prime factors (3 factors, 209.6 bits, 0.07668699% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27328916658336460791340.5993047751
32 × 72 × 6911
-4969119.038e-74.190e-66.972e-6
2732894649196668934749676312168.656850600768588335
32 × 5 × 281 × 10589 × 6352607
2014-08-22105896352607363.700.00350.0064
273289158484471896771942895701305016931100.3222899576490396099786228156
22 × 23 × 67 × 6203 × 4504441 × 16835625473
2020-09-204504441168356254736.678e+119.130616.975

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
27328977447882383499155262306523506884933109.255
273289264008765666704414544294886152021021713735143140.922
27328973682547882035506567224964416346976264419185407963
9
51168.978
27328912274286739072170708901811159471431766052428282538
76166206085481
64209.577
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-03T17:57:58Lisander ViaeneManual testing100000100000-
skipped known factor: 1665833646079
--0.001--11.635%
2022-03-20T02:22:05Lisander ViaeneDesktop55500005550000-
skipped known factor: 1665833646079
--0.055--23.695%
2022-03-21T00:12:01Lisander ViaeneDesktop555000022789551330-
skipped known factor: 1665833646079
skipped known factor: 464919666893474967631
skipped known factor: 1584844718967719428957013050169
--12.35--48.621%


Trial Factoring results:
No TF results for M273289


ECM factoring results:

Old Calculation Method

Total ECM effort:9.916 GHz-days
Estimated T-Level:26.617
DigitsB1CurvesCompleteFacMiss
2011000488 / 1004.8800.741%
2550000488 / 2801.74317.447%
30250000207 / 6400.32372.347%

New Calculation Method

Total ECM effort:9.916 GHz-days
Estimated T-Level:26.617
DigitsB1CompleteFacMiss
201100026.3150.000%
25500003.3513.505%
302500000.32472.311%
3510000000.02597.524%
4030000000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.052
250000250000001535.587
2500002500000010.037
25000035000000180.745
25000036750000140.591
25000038500000210.905


Lucas-Lehmer results:
No L-L results for M273289


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T10:19:38Oliver KruseOllaptop
1665833646079
464919666893474967631
476F48A4EB7BEC__no
2017-09-22T20:35:40Oliver KruseManual testing
1665833646079
464919666893474967631
476F48A4EB7BEC__no
2017-10-13T05:48:10Oliver KruseThreadripper9F228D45E957DA__no
2017-10-13T05:55:10Oliver KruseThreadripper476F48A4EB7BEC__no
2017-11-02T10:45:33kkmrkkblmbrbkc4.xlarge
1665833646079
464919666893474967631
9F228D45E957DA__no
2019-04-09T04:26:56kkmrkkblmbrbkc5.large
1665833646079
464919666893474967631
476F48A4EB7BEC9Dno
2020-09-20T18:15:08mnd9vv
1665833646079
464919666893474967631
1584844718967719428957013050169
9F228D45E957DA19no
2020-09-20T22:57:06pew10980xe_1
1665833646079
464919666893474967631
1584844718967719428957013050169
9F228D45E957DA19no


P-1 factor-bounds graph:
B1 = 5550000, B2 = 22789551330 (P-1 stage 2)
B1 = 5550000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
240
250
260
270
280
290
2100
2110
Last modified: 2022-05-28T06:24:00+00:00