is 2 348407 - 1
has 104881 decimal digits
takes 0.003 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1AED1BF16572D383double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26785.285171.6418 %6000000030000000003.095013.2616 %88.380175.4025 %
Target2440.000056.8182 %60008500000.000712.0359 %0.000762.0155 %
Difference+23+85.2851+14.8236 %+59994000+2999150000+3.0943+1.2257%+88.3794+13.3871 %

Known prime factors (1 factor, 94.8 bits, 0.02720706% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
348407342790299451852084467186198412994.79149193945507962251686560
25 × 5 × 13 × 47 × 503211390220563131
2019-03-22475032113902205631311.311e+10385,390,034719,801,261

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-08ANONYMOUSv4_computers500001000000--0.00118.779%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00321.388%
2002-08-17ANONYMOUSv4_computers65536655360012--0.00624.020%
2003-04-03ANONYMOUSv4_computers1310721310720030--0.01226.604%
2006-01-15Jossv4_computers348407348407--0.00515.741%
2011-08-14JossManual testing13036471303647--0.01819.758%
2012-02-14alpertronManual testing1000000020000000012--0.28636.463%
2016-10-31mikrS06160000000300000000012--2.68344.570%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-19ANONYMOUSv4_computers212540.007
2022-03-07LordJuliusManual testing254255
2001-03-11ANONYMOUSv4_computers212560.028
2002-02-17ANONYMOUSv4_computers212570.055
2004-01-27ANONYMOUSv4_computers212580.110
2008-12-30Sturle Sundegolan.ifi2582590.110
2009-01-28Sturle Sundegoscha.ifi2592600.220
2013-06-11lycornasteroid2602610.441
2015-07-25NRManual testing2612620.882
2015-12-18Gordon SpenceManual testing2622648.453
2018-02-04BloodERazorManual testing26426510.72
2018-02-16Gordon SpenceManual testing264265


ECM factoring results:
Total ECM effort:14.374 GHz-days
Estimated T-Level:27.243
DigitsB1CompleteFacMiss
201100033.3150.000%
25500004.4891.123%
302500000.44963.856%
3510000000.03696.502%
4030000000.00299.767%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.579
250000250000001205.991
250000250000001285.804


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03ANONYMOUSv4_computers1AED1BF16572D3830.003


PRP results:
dateuseridcompidcofactorsres64
2019-03-22ATHec2-PRPCF
34279029945185208446718619841
C3AAB198EE8BF6FD
2019-03-23kkmrkkblmbrbkc5.large
34279029945185208446718619841
C3AAB198EE8BF6FD


CERT results:
No CERT results for M348407


P-1 factor-bounds graph:
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1303647 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 348407 (P-1 stage 1)
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)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.24 ~= 74-bit
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Last modified: 2024-03-13T02:15:48+00:00