is 2 880823 - 1
has 265155 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-L4F486EB476453E2Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26733.734370.1493 %131072131072000.02953.6398 %33.763771.2358 %
Target2440.000054.5455 %1500030000000.006217.9450 %0.006262.7023 %
Difference+23+33.7343+15.6038 %+116072+10107200+0.0232-14.3051 %+33.7575+8.5335 %

Known prime factors (1 factor, 77.3 bits, 0.00878005% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8808231908402099995022379138872477.337108330623745918441
3 × 7 × 107 × 3717149 × 12969947
2015-05-0237171491296994734,9070.14840.2660

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.102%
2002-02-17ANONYMOUSv4_computers4096409600--0.00115.022%
2002-04-20ANONYMOUSv4_computers8192819200--0.00217.818%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.577%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00723.292%
2002-12-25ANONYMOUSv4_computers65537655370012--0.01525.955%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.560%
2011-02-24JossManual testing200000200000--0.00715.504%
2011-07-12JossManual testing234984234984--0.00816.005%
2011-09-05JossManual testing391640391640--0.01417.595%
2012-02-06JossManual testing783280783280--0.02819.748%
2012-04-16JossManual testing11749201174920--0.04121.000%
2012-09-21JossManual testing17616461761646--0.06222.244%
2012-10-25JossManual testing19020241902024--0.06722.478%
2015-04-08JossManual testing20922262092226--0.07422.769%
2015-05-01JossManual testing25315922531592--0.08923.349%
2015-05-02mikrDell2477.3371.5000.000%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-12-08ANONYMOUSv4_computers212570.022
2003-09-09ANONYMOUSv4_computers212580.044
2022-03-07LordJuliusManual testing258259
2004-07-02Sturle Sundev4_computers212600.087
2010-05-22Architects Cubeda3_bu22602610.174
2014-09-21lycornManual testing2612620.349


ECM factoring results:
Total ECM effort:13.914 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002817.749
25000025000000446.165


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28ANONYMOUSv4_computers4F486EB476453E2F0.021
2015-04-11MadPooManual testing4F486EB476453E2F0.021


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
190840209999502237913887
7E63477E20AF7786
2017-10-15kkmrkkblmbrbkc4.xlarge
190840209999502237913887
7E63477E20AF7786
2020-04-22Oliver KruseAddPrpType5
190840209999502237913887
23F9E8C6068E46AA


CERT results:
No CERT results for M880823


P-1 factor-bounds graph:
B1 = 2531592 (P-1 stage 1)
B1 = 2092226 (P-1 stage 1)
B1 = 1902024 (P-1 stage 1)
B1 = 1761646 (P-1 stage 1)
B1 = 1174920 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 783280 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 391640 (P-1 stage 1)
B1 = 234984 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
262
261
260
259
258
257
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00