is 2 457829 - 1
has 137821 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-LA476690BE028DE__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26764.901871.6418%30000001000000000.14157.2135%65.043373.6874%2.0456%
PrimeNet2400.000052.5000%45001500000.000218.3953%0.000261.2378%8.7378%
GPU722440.000056.8182%80002600000.000413.8680%0.000462.8066%5.9884%
Difference+23+64.9018+14.8236%+2992000+99740000+0.1411-6.6544%+65.0429+10.8808%+10.8808%

Known prime factors (1 factor, 63.3 bits, 0.01383250% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
457829115876187073333791212063.32912654963651640
23 × 5 × 41 × 109 × 70793039
2007-09-06109707930395.91800.06590.1230

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.172%
2001-12-22T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.486%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.731%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.460%
2016-03-17T18:48:26alpertronManual testing300000010000000012-
skipped known factor: 11587618707333379121
--0.141--7.214%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.021--
2002-02-10T00:00:00ANONYMOUSv4_computers21257--0.042--
2004-01-18T00:00:00ANONYMOUSv4_computers21258--0.084--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.906 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.906 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002813.623
250000250000001449.283


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-24T00:00:00ANONYMOUSv4_computersA476690BE028DE__0.005


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-25T07:06:09Oliver KruseDoppelherz
11587618707333379121
E8B0E10112571A__no
2017-09-27T07:34:16Oliver KruseManual testing
11587618707333379121
E8B0E10112571A__no
2017-11-07T05:58:17kkmrkkblmbrbkc4.xlarge
11587618707333379121
E8B0E10112571A__no
2020-04-18T10:08:38Oliver KruseAddPrpType5
11587618707333379121
EA72906D8D396D__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
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 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
258
257
256
250
260
270
280
290
2100
Last modified: 2020-05-18T10:33:48+00:00