is 2 3163969 - 1
has 952450 decimal digits
takes 0.269 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP346569E8E29319__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.838667.6471%30000001000000001.02248.0641%19.861170.2560%2.6090%
PrimeNet2600.048563.3333%130002400000.00312.6520%0.051764.3057%0.9724%
GPU722641.125065.6250%150002600000.00351.5813%1.128566.1686%0.5436%
Difference+4+17.7137+2.0221%+2985000+99740000+1.0189+6.4827%+18.7326+4.0874%+4.0874%

Known prime factors (1 factor, 74.5 bits, 0.00235489% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3163969268639573920518170805772374.5084245294026593152
27 × 32 × 13 × 23 × 12324919949
2021-01-18128123249199492,296.082.870154.78

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-16T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2003-02-24T00:00:00ANONYMOUSv4_computers4096409600---0.003--0.509%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2015-11-28T03:20:19HBendtzManual testing5000001200000012---0.139--4.711%
2019-07-18T20:58:25mikrMSI300000010000000012---1.022--8.064%
2022-02-12T19:37:09Jocelyn LaroucheManual testing1000000119912100---0.923--7.498%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-09T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-10T19:14:00S485122USB-A260261--0.049--
2011-10-27T06:21:00markroldgamer261262--0.097--
2013-01-03T08:45:00dbaughManual testing262263--0.310--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.621--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.181--
2015-06-17T10:00:00ThaManual testing265266--2.362--
2017-04-22T18:10:36Gordon SpenceManual testing266267--4.724--
2019-01-21T12:54:07TJAOIManual testing267268--9.447--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.570 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:3.570 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110000.93639.222%
25500000.08591.892%
302500000.00599.481%


ECM Summary

B1B2factorcurvesGHz-days
33334400000020.170
500005000000232.696
50000500000060.703


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-07T00:00:00ANONYMOUSv4_computers4E08FF58DB02CB__0.269


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-21T21:30:42Klaus Nordmannno1
26863957392051817080577
346569E8E29319__no
2021-04-04T13:05:15ATH5960X
26863957392051817080577
346569E8E2931944no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
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104
105
106
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1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-02-12T19:37:09+00:00