is 2 1355311 - 1
has 407990 decimal digits
takes 0.052 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LFBEB5FD61BD41034double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26721.924168.6567 %500000150000000.07144.8880 %21.995570.1888 %
Target2600.113365.0000 %55002000000.00090.9825 %0.114265.3439 %
Difference+7+21.8107+3.6567 %+494500+14800000+0.0705+3.9055%+21.8813+4.8449 %

Known prime factors (2 factors, 135.5 bits, 0.00999840% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1355311352772006469995362972064.93513014430137068
22 × 263 × 12371131309
2018-03-14263123711313093.024837.31569.693
135531117575293971290090951272270.574648386015139333
32 × 109 × 26557 × 24887749
2009-08-042655724887749211.940.07650.1402

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21Team Prime Ribv4_computers15000217500--0.0012.292%
2003-09-21Xyzzyv4_computers15000217500--0.0012.292%
2016-03-17alpertronManual testing5000001500000012---9.376%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-03ANONYMOUSv4_computers212570.014
2003-07-06ANONYMOUSv4_computers212580.028
2022-03-07LordJuliusManual testing258260
2009-02-14Sturle Sundegooch.ifi2602610.113
2022-03-07LordJuliusManual testing261264
2018-03-14TJAOIManual testing264265*
64.935
20
2.579


ECM factoring results:
Total ECM effort:29.394 GHz-days
Estimated T-Level:25.702
DigitsB1CompleteFacMiss
201100014.5770.000%
25500001.64419.326%
302500000.14086.905%
3510000000.01099.023%


ECM Summary

B1B2factorcurvesGHz-days
10.085
50000500000024913.54
250000350000005015.76


Lucas-Lehmer results:
No L-L results for M1355311


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-1
1757529397129009095127
2771AA6EB8C14480
2017-10-24kkmrkkblmbrbkc4.xlarge
1757529397129009095127
2771AA6EB8C14480
2018-03-14ATHec2-PRPCF
35277200646999536297
1757529397129009095127
76000B94CB0D1129
2018-03-14CuboxPhoenix
35277200646999536297
1757529397129009095127
76000B94CB0D1129


CERT results:
No CERT results for M1355311


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
264
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00