is 2 1478723 - 1
has 445140 decimal digits
takes 0.056 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2C0A8CE5D1625F22double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26720.094368.6567 %500000150000000.07144.9398 %20.165770.2050 %
Target2600.103965.0000 %65005000000.00181.4489 %0.105765.5071 %
Difference+7+19.9904+3.6567 %+493500+14500000+0.0696+3.4909%+20.0600+4.6979 %

Known prime factors (1 factor, 69.8 bits, 0.00472107% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
147872310360399095933873011292269.812350315748653868
22 × 32 × 127 × 76621992269
2013-06-081277662199226980.736231.11431.65

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-29Team Prime Ribv4_computers20000270000--0.0022.643%
2010-11-26Rob_Deetwopc100000200000--0.0072.986%
2010-11-27Rob_Deetwopc200000300000--0.0133.543%
2010-11-28Rob_Deetwopc20000010000006--0.0165.090%
2010-11-29Rob_Deetwopc20000020000006--0.0195.995%
2010-11-30Rob_Deetwopc20000030000006--0.0236.530%
2010-12-01Rob_Deetwopc20000040000006--0.0266.912%
2010-12-02Rob_Deetwopc20000050000006--0.0307.209%
2016-03-17alpertronManual testing5000001500000012---9.463%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-05-27Jossv4_computers212570.013
2003-07-30ANONYMOUSv4_computers212580.026
2010-05-08Architects Cubedm1_tt2602610.104
2011-04-05GrunwalderGIMPManual testing212631.079


ECM factoring results:
Total ECM effort:30.880 GHz-days
Estimated T-Level:25.715
DigitsB1CompleteFacMiss
201100014.5380.000%
25500001.66418.942%
302500000.14386.682%
3510000000.01099.008%


ECM Summary

B1B2factorcurvesGHz-days
10.143
50000500000024813.64
250000400000005017.10


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10ANONYMOUSv4_computers2C0A8CE5D1625F220.056


PRP results:
dateuseridcompidcofactorsres64
2017-10-01Oliver KruseGTX-0
1036039909593387301129
47BAABF68F38E9A4
2017-10-28kkmrkkblmbrbkc4.xlarge
1036039909593387301129
47BAABF68F38E9A4


CERT results:
No CERT results for M1478723


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 200000, B2 = 4000000 (P-1 stage 2)
B1 = 200000, B2 = 3000000 (P-1 stage 2)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000, B2 = 1000000 (P-1 stage 2)
B1 = 200000, B2 = 300000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 20000, B2 = 270000 (P-1 stage 2)
B1 = 20000 (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:
263
261
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00