is 2 435913 - 1
has 131223 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L96E30E107145D26Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26768.164871.6418 %30000001000000000.14157.1777 %68.306373.6772 %
Target2440.000056.8182 %800012000000.001213.5955 %0.001362.6890 %
Difference+23+68.1648+14.8236 %+2992000+98800000+0.1402-6.4178 %+68.3050+10.9883 %

Known prime factors (2 factors, 169.0 bits, 0.03877412% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
43591332043199583264971230892271.4413675412247772488
23 × 47 × 1223 × 7992667681
2008-03-24122379926676811,096.77.436813.890
4359132370167859006961872954936203533097.581271862488501944410117952
26 × 32 × 21101 × 448373 × 49886646949
2020-03-23448373498866469497.363e+1046.42486.694

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00010.834%
2002-01-02ANONYMOUSv4_computers500001000000--0.00219.196%
2002-01-15ANONYMOUSv4_computers4096409600--0.00013.685%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.840%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00724.480%
2003-04-03ANONYMOUSv4_computers1310721310720030--0.01427.069%
2016-03-17alpertronManual testing300000010000000012---34.740%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.022
2002-02-03ANONYMOUSv4_computers212570.044
2004-01-07ANONYMOUSv4_computers212580.088


ECM factoring results:
Total ECM effort:12.856 GHz-days
Estimated T-Level:26.433
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.022
5000050000002793.577
25000025000000493.150
25000025000000956.107


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-10ANONYMOUSv4_computers96E30E107145D26E0.005


PRP results:
dateuseridcompidcofactorsres64
2017-09-24Oliver KruseDoppelherz
3204319958326497123089
118F5EC6607F6A3C
2017-09-24Oliver KruseManual testing
3204319958326497123089
118F5EC6607F6A3C
2017-11-09kkmrkkblmbrbkc4.large
3204319958326497123089
118F5EC6607F6A3C
2020-03-23M Millercruncher
3204319958326497123089
237016785900696187295493620353
AD05A3D35C5F29A2
2020-03-25arnaudstm-11-010
3204319958326497123089
237016785900696187295493620353
AD05A3D35C5F29A2


CERT results:
No CERT results for M435913


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
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
109
1010
1011
TF factor-bounds graph:
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
250
260
270
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290
2100
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Last modified: 2024-02-09T03:30:02+00:00