is 2 1314871 - 1
has 395816 decimal digits
takes 0.042 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE99487C58B605E5Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26722.598468.6567 %500000150000000.05934.8701 %22.657670.1832 %
Target2600.116865.0000 %55002000000.00070.9758 %0.117565.3415 %
Difference+7+22.4815+3.6567 %+494500+14800000+0.0585+3.8943%+22.5401+4.8416 %

Known prime factors (1 factor, 66.5 bits, 0.00506030% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13148711070147412587097770632166.53640694007723461
47 × 31489 × 27496267
2013-07-25314892749626711.2320.07020.1286

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16eteov4_computers20000020000006--0.0145.906%
2016-03-17alpertronManual testing5000001500000012---9.346%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-03ANONYMOUSv4_computers212570.015
2003-06-17ANONYMOUSv4_computers212580.029
2022-03-07LordJuliusManual testing258260
2009-02-16Sturle Sundeghirardelli.ifi2602610.117
2012-09-18AxelssonManual testing2612620.234
2013-01-07dbaughManual testing2622630.747


ECM factoring results:
Total ECM effort:20.689 GHz-days
Estimated T-Level:25.702
DigitsB1CompleteFacMiss
201100014.5770.000%
25500001.64419.326%
302500000.14086.905%
3510000000.01099.023%


ECM Summary

B1B2factorcurvesGHz-days
10.077
5000050000002499.488
250000350000005011.12


Lucas-Lehmer results:
No L-L results for M1314871


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-2
107014741258709777063
6542A178578CBBDB
2017-10-23kkmrkkblmbrbkc4.xlarge
107014741258709777063
6542A178578CBBDB


CERT results:
No CERT results for M1314871


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00