is 2 3286951 - 1
has 989471 decimal digits
takes 0.345 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP55F6B5C43C7F4354verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26936.321468.1159%40000001500000001.82068.1195%38.142070.7048%2.5888%
PrimeNet2600.046763.3333%140002600000.00422.7765%0.050964.3514%1.0180%
GPU722641.082965.6250%170002800000.00481.6880%1.087666.2052%0.5802%
Difference+5+35.2386+2.4909%+3983000+149720000+1.8158+6.4316%+37.0544+4.4995%+4.4995%

Known prime factors (1 factor, 69.7 bits, 0.00212113% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32869519727625544833639380092169.721147973388481204
22 × 3 × 11 × 13 × 113 × 763111313
2021-08-0911376311131359.1866.331711.826

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T19:18:00Carsten Kossendeydurandal15000191250---0.004--0.672%
2011-09-23T08:34:00harleeP4_2600600001065000---0.017--1.705%
2014-06-26T21:22:00ANONYMOUSManual testing7952779527---0.012--0.651%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9905499054---0.015--0.746%
2016-01-25T22:39:59Jocelyn LaroucheManual testing38340038340006---0.087--3.243%
2021-04-01T04:24:33mikrMSI400000015000000012---1.821--8.120%
2022-04-02T19:48:49Jocelyn LaroucheManual testing1000000134316000---1.258--7.018%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-31T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-01T04:45:00S485122USB-A260261--0.047--
2011-09-28T01:38:00markroldgamer261262--0.093--
2012-12-30T00:06:00dbaughManual testing262263--0.299--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.597--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.137--
2015-06-29T20:47:00ThaManual testing265266--2.273--
2017-04-06T14:00:10Gordon SpenceManual testing266267--4.547--
2018-11-19T15:52:51TJAOIManual testing267268--9.094--
2021-07-27T14:44:39MadPooManual testing268269--18.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.627 GHz-days
Estimated T-Level:2.850
DigitsB1CurvesCompleteFacMiss
201100057 / 1000.57056.391%
255000057 / 2800.20481.551%

New Calculation Method

Total ECM effort:8.627 GHz-days
Estimated T-Level:2.850
DigitsB1CompleteFacMiss
20110002.23710.676%
25500000.20781.304%
302500000.01398.700%


ECM Summary

B1B2factorcurvesGHz-days
500005000000436.264
50000675000071.180
50000680000071.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-25T00:00:00ANONYMOUSv4_computers7315F559895B62__0.345


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-12T06:15:47kutensryzen2
972762554483363938009
55F6B5C43C7F4354no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134316000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 383400, B2 = 3834000 (P-1 stage 2)
B1 = 383400 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 99054 (P-1 stage 1)
B1 = 79527 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-02T19:48:49+00:00