is 2 158209 - 1
has 47626 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L58400B98A00BADD3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267187.814373.1343 %10000000020000000000.975512.1233 %188.789876.3913 %
Target2440.000059.0909 %28002750000.00017.4815 %0.000162.1515 %
Difference+23+187.8143+14.0434 %+99997200+1999725000+0.9754+4.6418%+188.7897+14.2398 %

Known prime factors (1 factor, 114.4 bits, 0.07227868% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1582092649680585604078258274846001452051135114.35183739881599785039355373145695
5 × 7 × 29 × 97 × 1348619 × 630674529757249291
2016-09-2013486196306745297572492918.115e+11164,693,646307,601,867

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00324.002%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00119.834%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00222.436%
2003-02-09ANONYMOUSv4_computers1310721310720030--0.00424.997%
2003-10-08ANONYMOUSv4_computers2621442621440012--0.00827.510%
2009-01-12axnManual testing500000020000000012--0.07534.891%
2011-03-11JossManual testing1000000010000000--0.04824.505%
2013-06-17alpertronManual testing100000000200000000012--0.97541.620%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-04ANONYMOUSv4_computers2522530.004
2000-04-19ANONYMOUSv4_computers212540.015
2022-03-07LordJuliusManual testing254255
2001-01-14ANONYMOUSv4_computers212560.061
2002-07-14ANONYMOUSv4_computers212570.121
2016-02-23Mark RoseManual testing2572580.121
2009-01-03Sturle Sundegooch.ifi2582590.243
2009-02-07Sturle Sundebuxtehude.ifi2592600.485
2013-09-13lycornasteroid2602610.971
2015-08-26NRManual testing2612621.942
2016-02-12Gordon SpenceManual testing2622636.205
2016-02-12Gordon SpenceManual testing26326412.41


ECM factoring results:
Total ECM effort:31.133 GHz-days
Estimated T-Level:31.346
DigitsB1CompleteFacMiss
2011000109.6200.000%
255000018.7750.000%
302500002.4798.382%
3510000000.26976.399%
4030000000.02597.559%
45110000000.00299.806%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001800.565
250000250000005879.97
100000010000000029420.46
100000010000000020.139


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01MadPooManual testing58400B98A00BADD30.001


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
26496805856040782582748460014520511
6A00EFC7D9C8979D
2017-09-22Oliver KruseManual testing
26496805856040782582748460014520511
6A00EFC7D9C8979D
2017-10-11kkmrkkblmbrbkc4.xlarge
26496805856040782582748460014520511
6A00EFC7D9C8979D
2020-04-17Oliver KruseAddPrpType5
26496805856040782582748460014520511
F1D59CECF0756783
2024-02-03Wentao HuangManual testing
26496805856040782582748460014520511
F1D59CECF0756783


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto5700X


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
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108
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
TF factor-bounds graph:
264
263
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=31.35 ~= 88-bit
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2120
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Last modified: 2024-02-09T03:30:02+00:00