is 2 386047 - 1
has 116212 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L86746A544DA1D389double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26776.969771.6418%6553665536000.00592.3946%76.975672.3208%0.6791%
PrimeNet2400.000052.5000%40001200000.000117.2250%0.000160.6819%8.1819%
GPU722440.000056.8182%70002000000.000212.7864%0.000362.3396%5.5214%
Difference+23+76.9697+14.8236%+58536+6353600+0.0056-10.3918%+76.9753+9.9813%+9.9813%

Known prime factors (1 factor, 65.2 bits, 0.01688293% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
386047416810922800327752312065.17653984478936545
5 × 19861 × 543622969
2007-08-301986154362296933.7510.41660.7776

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.164%
2002-01-08T00:00:00ANONYMOUSv4_computers4096409600---0.000--0.361%
2002-01-15T00:00:00ANONYMOUSv4_computers4096409600---0.000--0.361%
2002-02-03T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.443%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.679%
2002-08-24T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.395%
2002-12-09T00:00:00Criswellv4_computers10000317500---0.000--0.572%
2003-09-29T00:00:00Waynev4_computers10000340000---0.000--0.583%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.006--
2022-03-07T06:43:09LordJuliusManual testing254255--0.006--
2001-03-17T00:00:00ANONYMOUSv4_computers21256--0.025--
2002-01-28T00:00:00ANONYMOUSv4_computers21257--0.050--
2004-01-18T00:00:00ANONYMOUSv4_computers21258--0.099--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.525 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:10.525 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
5000050000002812.955
250000250000001447.570


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-09T00:00:00Criswellv4_computers86746A544DA1D3890.004
2003-09-29T00:00:00Waynev4_computers86746A544DA1D3890.004
2015-08-11T17:07:00MadPooManual testing86746A544DA1D3890.004
2015-08-11T17:23:00MadPooManual testing86746A544DA1D3890.004


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T06:37:06Oliver KruseOllaptop
41681092280032775231
E98287C5009677__no
2017-11-02T12:55:09kkmrkkblmbrbkc4.xlarge
41681092280032775231
E98287C5009677__no
2020-04-18T08:59:20Oliver KruseAddPrpType5
41681092280032775231
D075EADC70CF0B__no


P-1 factor-bounds graph:
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 = 10000, B2 = 340000 (P-1 stage 2)
B1 = 10000, B2 = 317500 (P-1 stage 2)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T06:43:09+00:00