is 2 908153 - 1
has 273382 decimal digits
takes 0.022 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE1CB4E73C97EFFEFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26732.719170.1493 %935000261800000.08125.5466 %32.800371.8049 %
Target2440.000054.5455 %1500030000000.006218.0043 %0.006262.7292 %
Difference+23+32.7191+15.6038 %+920000+23180000+0.0750-12.4577 %+32.7941+9.0757 %

Known prime factors (1 factor, 81.1 bits, 0.00892774% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
90815325513411799894337131917032581.0781404686864432223267
3 × 7 × 233 × 26833 × 10698800143
2014-03-232683310698800143539,26320.49738.281

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.159%
2002-02-17ANONYMOUSv4_computers4096409600--0.00115.082%
2002-04-28ANONYMOUSv4_computers8192819200--0.00217.879%
2002-05-18ANONYMOUSv4_computers163841638400--0.00420.640%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00723.356%
2002-12-25ANONYMOUSv4_computers65536655360012--0.01526.020%
2003-07-30ANONYMOUSv4_computers1310721310720012--0.02928.625%
2011-06-07JossManual testing200000200000--0.00715.553%
2011-07-13JossManual testing225856225856--0.00815.931%
2011-09-11JossManual testing376427376427--0.01317.522%
2011-12-10JossManual testing752854752854--0.02619.677%
2013-10-08David Campeaui5-2500k9350002618000012--0.08131.873%
2016-03-17alpertronManual testing20000050000006---26.210%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-12-14ANONYMOUSv4_computers212560.011
2001-10-06ANONYMOUSv4_computers212570.021
2003-02-24ANONYMOUSv4_computers212580.042
2022-03-07LordJuliusManual testing258260
2010-06-02Architects Cubeda3_bu22602610.169


ECM factoring results:
Total ECM effort:13.960 GHz-days
Estimated T-Level:25.649
DigitsB1CompleteFacMiss
201100014.5000.000%
25500001.59120.367%
302500000.13087.835%
3510000000.00999.138%


ECM Summary

B1B2factorcurvesGHz-days
10.225
5000050000002737.549
25000025000000446.186


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22ANONYMOUSv4_computersE1CB4E73C97EFFEF0.022


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
2551341179989433713191703
680F59ADAF6AF9B8
2017-10-14Oliver KruseThreadripper-PC
2551341179989433713191703
680F59ADAF6AF9B8
2017-12-20ATHec2-1xh
2551341179989433713191703
680F59ADAF6AF9B8
2020-04-23Oliver KruseAddPrpType5
2551341179989433713191703
FBB1A24CD65BFF83


CERT results:
No CERT results for M908153


P-1 factor-bounds graph:
B1 = 935000, B2 = 26180000 (P-1 stage 2)
B1 = 935000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 752854 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 376427 (P-1 stage 1)
B1 = 225856 (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 = 65536 (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
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105
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102
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105
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109
1010
1011
TF factor-bounds graph:
261
260
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00