is 2 5338657 - 1
has 1607096 decimal digits
takes 0.843 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBFB2CA619D355B2Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26811.164866.1765 %32000095200000.18804.5452 %11.352867.7138 %
Target2662.766365.1515 %3200030000000.04442.0289 %2.810765.8586 %
Difference+2+8.3984+1.0250 %+288000+6520000+0.1437+2.5162%+8.5421+1.8552 %

Known prime factors (1 factor, 69.1 bits, 0.00129501% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
53386576487885635685323776892169.13660763274693292
22 × 3 × 17 × 23 × 5531 × 2341421
2019-02-225531234142135.5090.03040.0546

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-23Carsten Kossendeymother25000343750--0.0111.636%
2010-09-17Squeeky_SquirrelP4_2600600009600006--0.0282.624%
2019-02-22USAFSSP4_260032000095200001222169.1360.1885.543%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-09ANONYMOUSv4_computers212610.029
1998-04-15ANONYMOUSv4_computers212620.058
2009-05-27GrunwalderGIMPManual testing2622630.184
2014-12-25VictordeHollanderManual testing2632651.068
2015-08-16snme2pm1Manual testing2652661.400
2016-08-06Gordon SpenceManual testing2662672.799
2018-06-19ramgeisManual testing2672685.599


ECM factoring results:
Total ECM effort:2.249 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.249


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06ANONYMOUSv4_computersBFB2CA619D355B2F0.843
2000-07-03ANONYMOUSv4_computersBFB2CA619D355B2F0.843


PRP results:
dateuseridcompidcofactorsres64
2019-02-26Julian112zapserver1
648788563568532377689
7AABD159399C248F
2019-02-28arnaudstm-11-010
648788563568532377689
7AABD159399C248F


CERT results:
No CERT results for M5338657


P-1 factor-bounds graph:
B1 = 320000, B2 = 9520000 (P-1 stage 2)
B1 = 320000 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 25000, B2 = 343750 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
TF factor-bounds graph:
268
267
266
265
263
262
261
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00