is 2 58909 - 1
has 17734 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ECM on 2024-02-28, 0.0% done, ETC 2024-03-06
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267504.403776.1194 %59000000029453465429388027,599.674729.5732 %28,104.078483.1817 %
Target2440.000063.6364 %500500000.00002.1379 %0.000064.4138 %
Difference+23+504.4037+12.4830 %+589999500+294534654243880+27,599.6747+27.4353%+28,104.0783+18.7679 %

Known prime factors (6 factors, 356.2 bits, 0.60461119% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
58909296901361928.1452520
23 × 32 × 5 × 7
-996.070e-101.548e-83.150e-8
58909214499450811134.320182060
22 × 5 × 9103
2008-08-26591033.885e-88.611e-71.593e-6
589091070177417591236.639908331
3 × 31 × 9767
2008-08-263197671.554e-79.656e-71.709e-6
589097254761974110756011859.3326157600684200
23 × 33 × 52 × 7 × 71 × 2294359
2008-08-267122943591.30360.00020.0004
5890938593982442458598390736060312891.64032757288735557044246835
5 × 13 × 29 × 601 × 28914928466311271
2016-12-28601289149284663112718.513e+92,709,4095,060,422
589098656435729695784415429270323711132106.094734729475096825987152155895
5 × 1221421 × 120307326482322800599
2019-08-1012214211203073264823228005992.179e+121.127e+102.106e+10

57 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-07kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 296901361
skipped known factor: 21449945081
skipped known factor: 107017741759
skipped known factor: 725476197411075601
---39.796%
2021-04-15Seth_TrManual testing40000000076400000000
skipped known factor: 296901361
skipped known factor: 21449945081
skipped known factor: 107017741759
skipped known factor: 725476197411075601
---50.243%
2023-05-16JacobZPM1Server590000000294534654293880
skipped known factor: 296901361
skipped known factor: 21449945081
skipped known factor: 107017741759
skipped known factor: 725476197411075601
--34,90469.229%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-06ATHcolab-Pp215000000150000000027--0.275


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
34.320
11
2008-08-26ANONYMOUSManual testing??
36.639
12


ECM factoring results:
Total ECM effort:81.044 GHz-days
Estimated T-Level:32.623
DigitsB1CompleteFacMiss
2011000163.9900.000%
255000030.8610.000%
302500004.4291.193%
3510000000.52559.184%
4030000000.05294.912%
45110000000.00499.555%


ECM Summary

B1B2factorcurvesGHz-days
10.001
5000050000002810.327
250000250000005133.174
25000025000000720.445
100000010000000036710.35
100000010000000020.078
100000055134387010.061
100000055134387010.061
100000055134387010.061
1000000622693890503.341
166316650982894995021.91
192398427005300425012.48
218337967221507805028.88


Lucas-Lehmer results:
No L-L results for M58909


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
296901361
21449945081
107017741759
725476197411075601
3859398244245859839073606031
F9077350D732C73A
2017-09-21Oliver KruseManual testing
296901361
21449945081
107017741759
725476197411075601
3859398244245859839073606031
F9077350D732C73A
2017-10-02kkmrkkblmbrbkManual testing
296901361
21449945081
107017741759
725476197411075601
3859398244245859839073606031
F9077350D732C73A
2017-12-07ATHxps
296901361
21449945081
107017741759
725476197411075601
3859398244245859839073606031
F9077350D732C73A
2019-08-10Niels_Mache_NextcloudSuperDry-X
296901361
21449945081
107017741759
725476197411075601
3859398244245859839073606031
86564357296957844154292703237111
549AC38EC795D1D8
2019-08-11kkmrkkblmbrbkc5.large
296901361
21449945081
107017741759
725476197411075601
3859398244245859839073606031
86564357296957844154292703237111
549AC38EC795D1D8


CERT results:
No CERT results for M58909


P-1 factor-bounds graph:
B1 = 590000000, B2 = 294534654293880 (P-1 stage 2)
B1 = 400000000, B2 = 76400000000 (P-1 stage 2)
B1 = 590000000 (P-1 stage 1)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.62 ~= 92-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-05T04:33:04+00:00