is 2 2578469 - 1
has 776197 decimal digits
takes 0.179 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711.523967.1642 %3000002350926601.31677.5134 %12.840669.6313 %
Target2630.619065.0794 %120009500000.00631.5051 %0.625365.6050 %
Difference+4+10.9049+2.0848 %+288000+234142660+1.3104+6.0083%+12.2153+4.0263 %

Known prime factors (4 factors, 197.5 bits, 0.00766032% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
257846920627753824.2984
22
-448.668e-134.023e-78.187e-7
25784692991797580711238.12258015
5 × 41 × 283
2008-07-14412831.420e-85.450e-68.392e-6
2578469203378088954650571754.1753943776112
24 × 1823 × 135209
2014-11-0818231352090.00090.00090.0014
257846922932859470101733056293192580.924444699150350493511
11 × 229 × 359 × 491749224391
2018-03-2135949174922439194,9662,694.65,032.7

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-09-03USAFSSUSAFSACS300000235092660
skipped known factor: 20627753
skipped known factor: 299179758071
skipped known factor: 20337808895465057
--1.46610.699%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-11-08TJAOIManual testing254255*
54.175
17
0.000


ECM factoring results:
Total ECM effort:0.435 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
10.066
50000500000030.277
50000500000010.092


Lucas-Lehmer results:
No L-L results for M2578469


PRP results:
dateuseridcompidcofactorsres64
2017-10-15Yaroslav BerezhkoManual testing
20627753
299179758071
20337808895465057
A5DF068154F31D4E
2017-10-15kkmrkkblmbrbkc4.xlarge
20627753
299179758071
20337808895465057
A7D66129D69D9EED
2017-11-11Oliver KruseGTX-2
20627753
299179758071
20337808895465057
A5DF068154F31D4E
2017-12-05ATHec2-1xh
20627753
299179758071
20337808895465057
A7D66129D69D9EED
2018-03-26krackerHP-B
20627753
299179758071
20337808895465057
2293285947010173305629319
A7D66129D69D9EED


CERT results:
No CERT results for M2578469


P-1 factor-bounds graph:
B1 = 300000, B2 = 235092660 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
280
290
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Last modified: 2024-03-03T02:29:32+00:00