is 2 883579 - 1
has 265984 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC4E59FF54FD26173double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26733.629070.1493 %131072131072000.02953.6414 %33.658571.2362 %
Target2440.000054.5455 %1500030000000.006217.9510 %0.006262.7050 %
Difference+23+33.6290+15.6038 %+116072+10107200+0.0232-14.3096 %+33.6523+8.5312 %

Known prime factors (1 factor, 68.1 bits, 0.00770199% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8835793062270209703672168872168.053173287855964417
211 × 821269459547
2014-02-2021182126945954767.4581,573.32,938.6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.108%
2002-02-17ANONYMOUSv4_computers4096409600--0.00115.028%
2002-04-20ANONYMOUSv4_computers8192819200--0.00217.824%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.583%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00723.298%
2002-12-25ANONYMOUSv4_computers65537655370012--0.01525.962%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.566%
2011-02-24JossManual testing200000200000--0.00715.509%
2011-07-12JossManual testing234034234034--0.00815.997%
2011-09-05JossManual testing390057390057--0.01417.587%
2011-10-01JossManual testing780114780114--0.02719.741%
2012-06-19JossManual testing883621883621--0.03120.126%
2012-09-21JossManual testing17671581767158--0.06222.259%
2012-10-25JossManual testing18937231893723--0.06722.470%
2016-03-17alpertronManual testing3000001000000012---28.438%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-12-08ANONYMOUSv4_computers212570.022
2003-08-31ANONYMOUSv4_computers212580.043
2022-03-07LordJuliusManual testing258259
2004-07-02Sturle Sundev4_computers212600.087
2010-06-03Architects Cubedm1_fw2602610.174


ECM factoring results:
Total ECM effort:13.918 GHz-days
Estimated T-Level:25.643
DigitsB1CompleteFacMiss
201100014.3080.000%
25500001.57320.733%
302500000.12987.934%
3510000000.00999.143%


ECM Summary

B1B2factorcurvesGHz-days
10.364
5000050000002687.387
25000025000000446.167


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28ANONYMOUSv4_computersC4E59FF54FD261730.021


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
306227020970367216887
34AFFDC83762AAC7
2017-10-14Oliver KruseGTX-1
306227020970367216887
34AFFDC83762AAC7
2017-12-19ATHec2-1xh
306227020970367216887
34AFFDC83762AAC7
2020-04-22Oliver KruseAddPrpType5
306227020970367216887
6235E4D738A58A2B


CERT results:
No CERT results for M883579


P-1 factor-bounds graph:
B1 = 1893723 (P-1 stage 1)
B1 = 1767158 (P-1 stage 1)
B1 = 883621 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 780114 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 390057 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 234034 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
261
260
259
258
257
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.64 ~= 69-bit
250
260
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Last modified: 2024-03-03T02:29:32+00:00