is 2 182261 - 1
has 54867 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
Actual267163.029573.1343 %10000000020000000001.360712.2483 %164.390276.4249 %
Target2440.000059.0909 %34003500000.00018.3940 %0.000262.5248 %
Difference+23+163.0295+14.0434 %+99996600+1999650000+1.3606+3.8543%+164.3901+13.9001 %

Known prime factors (4 factors, 269.1 bits, 0.14763381% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18226120048711824.25755
5 × 11
-5111.241e-113.562e-86.804e-8
1822611505983431368471547.098413139243
3 × 11 × 641 × 19531
2008-08-26641195310.00011.117e-51.329e-5
182261138071437770947076890094492683.51437877394991508626884
22 × 3 × 11 × 31 × 137 × 233 × 289979962687
2015-06-1923328997996268719,039,242105.63197.29
1822612403252352698628855144020726817970335114.21165928869936481991625855798191
42509 × 1550939093756192609232299
2019-11-184250915509390937561926092322999.263e+115.650e+141.055e+15

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-06-04kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 20048711
skipped known factor: 150598343136847
---41.876%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-22nordisweet1610000000100000000027--0.455


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
47.098
15
7.06151e-6


ECM factoring results:
Total ECM effort:13.206 GHz-days
Estimated T-Level:29.258
DigitsB1CompleteFacMiss
201100056.8990.000%
25500008.1410.029%
302500000.85242.675%
3510000000.07093.264%
4030000000.00599.536%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002091.018
500005000000720.351
2500002500000050511.79
2500002500000020.049


Lucas-Lehmer results:
No L-L results for M182261


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop07817D2633F008__
2017-10-12kkmrkkblmbrbkc4.xlarge
20048711
150598343136847
13807143777094707689009449
07817D2633F008A9
2019-11-19oodairacom1
20048711
150598343136847
13807143777094707689009449
24032523526986288551440207268179703
052EAB562BA215CB
2019-11-26noknonLIB-srv
20048711
150598343136847
13807143777094707689009449
24032523526986288551440207268179703
052EAB562BA215CB
2023-08-24USAFSS6917th_Scty_Sq
20048711
150598343136847
13807143777094707689009449
24032523526986288551440207268179703
052EAB562BA215CB


CERT results:
dateuseridcompid
2023-08-24Chun sung soojung


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (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=29.26 ~= 81-bit
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Last modified: 2024-03-13T02:15:48+00:00