is 2 833897 - 1
has 251029 decimal digits
takes 0.017 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE044A58DA7E19D27double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26735.632670.1493 %81297703577098800.78709.9017 %36.419673.1050 %
Target2440.000054.5455 %1400027500000.004717.5320 %0.004762.5145 %
Difference+23+35.6326+15.6038 %+8115770+354959880+0.7823-7.6303 %+36.4149+10.5904 %

Known prime factors (2 factors, 168.0 bits, 0.02014100% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
833897120798627557359010193192373.3557243018475744547
32 × 11139991 × 72242413
2014-06-0211139991722424132,293.90.41900.6566
833897300261886125886420519221004732994.60018003535576089518280988
22 × 31 × 131 × 8756623 × 126569238749
2016-10-2187566231265692387494.811e+9199.94372.99

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.001%
2002-02-10ANONYMOUSv4_computers4096409600--0.00114.916%
2002-04-07ANONYMOUSv4_computers8192819200--0.00217.708%
2002-05-18ANONYMOUSv4_computers163841638400--0.00320.464%
2002-06-15ANONYMOUSv4_computers32768327680012--0.00623.177%
2002-12-02ANONYMOUSv4_computers65537655370012--0.01225.838%
2003-07-30ANONYMOUSv4_computers1310721310720012--0.02428.442%
2008-12-03markrManual testing12000003600000012--0.09332.744%
2014-05-13mikrColor812977035770988012--0.78740.076%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-01ANONYMOUSv4_computers212550.006
2001-01-28ANONYMOUSv4_computers212560.012
2001-10-20ANONYMOUSv4_computers212570.023
2003-09-09ANONYMOUSv4_computers212580.046
2008-10-12Sturle Sundenikabrik.ifi2582590.046
2008-10-12Sturle Sundenikabrik.ifi2592600.092
2010-05-25Architects Cubedm1_f22602610.184


ECM factoring results:
Total ECM effort:11.394 GHz-days
Estimated T-Level:25.646
DigitsB1CompleteFacMiss
201100014.4230.000%
25500001.58420.513%
302500000.12987.875%
3510000000.00999.140%


ECM Summary

B1B2factorcurvesGHz-days
10.229
5000050000002214.971
500005000000501.147
25000025000000445.047


Lucas-Lehmer results:
No L-L results for M833897


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
12079862755735901019319
30026188612588642051922100473
CB4C50656FB339D1
2017-10-17Oliver KruseGTX-2
12079862755735901019319
30026188612588642051922100473
C87928E47D4C50EC
2017-10-17Oliver KruseThreadripper-PC
12079862755735901019319
30026188612588642051922100473
CB4C50656FB339D1
2017-10-17Oliver KruseThreadripper-PC
12079862755735901019319
30026188612588642051922100473
CB4C50656FB339D1
2017-11-04kkmrkkblmbrbkc4.xlarge
12079862755735901019319
30026188612588642051922100473
C87928E47D4C50EC
2019-04-09kkmrkkblmbrbkc5.large
12079862755735901019319
30026188612588642051922100473
CB4C50656FB339D1


CERT results:
No CERT results for M833897


P-1 factor-bounds graph:
B1 = 8129770, B2 = 357709880 (P-1 stage 2)
B1 = 8129770 (P-1 stage 1)
B1 = 1200000, B2 = 36000000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
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
108
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
290
2100
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Last modified: 2024-03-03T02:29:32+00:00