is 2 438001 - 1
has 131852 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L093F4F2DDAF2853Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26767.839871.6418%30000001000000000.14157.1811%67.981373.6782%2.0364%
PrimeNet2400.000052.5000%45001400000.000218.1045%0.000261.0996%8.5996%
GPU722440.000056.8182%80002400000.000413.6039%0.000462.6926%5.8744%
Difference+23+67.8398+14.8236%+2992000+99760000+0.1411-6.4227%+67.9810+10.9857%+10.9857%

Known prime factors (1 factor, 71.1 bits, 0.01624234% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
43800126046896285418586876312271.1422973383198373815
5 × 594676639674763
2009-07-2755946766396747631,581.9553,3141,033,436

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.170%
2002-01-02T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.475%
2002-01-15T00:00:00ANONYMOUSv4_computers4096409600---0.000--0.372%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.717%
2002-08-31T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.443%
2003-04-03T00:00:00ANONYMOUSv4_computers13107213107200---0.014--3.298%
2016-03-17T18:48:07alpertronManual testing300000010000000012---0.141--7.181%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.022--
2002-02-10T00:00:00ANONYMOUSv4_computers21257--0.044--
2004-01-18T00:00:00ANONYMOUSv4_computers21258--0.088--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.835 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000422 / 1004.2201.439%
2550000422 / 2801.50722.095%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.835 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002783.575
250000250000001449.259


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-22T00:00:00ANONYMOUSv4_computers093F4F2DDAF2853B0.005


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-24T06:02:47Oliver KruseDoppelherz
2604689628541858687631
928EA59812EFFB__no
2017-09-24T17:47:44Oliver KruseManual testing
2604689628541858687631
928EA59812EFFB__no
2017-11-09T09:10:46kkmrkkblmbrbkc4.large
2604689628541858687631
928EA59812EFFB__no
2020-04-18T18:25:29Oliver KruseAddPrpType5
2604689628541858687631
9A85D5024414B0__no


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)
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TF factor-bounds graph:
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Last modified: 2020-04-18T18:25:29+00:00