is 2 3242909 - 1
has 976213 decimal digits
takes 0.276 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-
PRPB6F0893F5F48644Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26936.814768.1159%40000001500000001.47538.1090%38.290070.7014%2.5855%
PrimeNet2600.047463.3333%140002600000.00342.7698%0.050764.3489%1.0156%
GPU722641.097665.6250%160002800000.00371.6541%1.101366.1936%0.5686%
Difference+5+35.7171+2.4909%+3984000+149720000+1.4716+6.4548%+37.1887+4.5078%+4.5078%

Known prime factors (1 factor, 69.6 bits, 0.00214610% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32429098923505860112517255772169.596137584894613332
22 × 34396223653333
2021-03-0243439622365333349.200231,273431,953

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:44:00Carsten Kossendeydurandal15000191250---0.003--0.670%
2011-09-09T06:02:00harleeP4_260055000866250---0.012--1.576%
2013-09-06T09:30:00Squeeky_SquirrelT7500_22001150002587500---0.031--2.444%
2017-01-12T03:13:44Jocelyn Larouchelow 4M138000138000---0.017--0.903%
2017-01-19T11:35:13Squeeky_SquirrelP4_2600205000584250012---0.063--3.252%
2017-01-30T01:30:43Jocelyn Larouchelow 4M165600165600---0.020--1.000%
2017-02-04T18:42:54Jocelyn Larouchelow 4M198720198720---0.025--1.102%
2018-08-06T19:37:27Jocelyn Larouchelow 4M410000820000---0.053--2.084%
2018-08-07T17:09:28Jocelyn Larouchelow 4M4100001230000---0.056--2.388%
2018-08-08T00:41:57Jocelyn Larouchelow 4M4100001640000---0.059--2.606%
2018-08-08T12:55:43Jocelyn Larouchelow 4M4100002050000---0.062--2.777%
2018-08-08T23:04:22Jocelyn Larouchelow 4M4100002460000---0.064--2.918%
2018-08-11T10:43:52Jocelyn Larouchelow 4M4100004100000---0.075--3.316%
2020-06-13T16:51:49mikrMSI400000015000000012---1.475--8.109%
2022-03-12T19:47:59Jocelyn LaroucheManual testing1000000134343300---1.020--7.008%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-18T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-05T06:45:00S485122USB-Z260261--0.047--
2011-07-25T03:49:00Carsten KossendeyManual testing261262--0.095--
2012-12-30T16:44:00lycornManual testing262264--0.908--
2013-10-22T22:36:00David CampeauManual testing264265--1.152--
2015-06-24T21:57:00ThaManual testing265266--2.304--
2017-03-27T22:26:22Gordon SpenceManual testing266267--4.609--
2018-11-12T14:47:37TJAOIManual testing267268--9.217--
2021-02-02T20:05:46ViliamFManual testing268269--18.43--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.768 GHz-days
Estimated T-Level:1.600
DigitsB1CurvesCompleteFacMiss
201100032 / 1000.32072.498%
255000032 / 2800.11489.182%

New Calculation Method

Total ECM effort:3.768 GHz-days
Estimated T-Level:1.600
DigitsB1CompleteFacMiss
20110001.23129.207%
25500000.11489.237%
302500000.00799.284%


ECM Summary

B1B2factorcurvesGHz-days
500005000000293.415
50000500000030.353


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computersFB366D9EA92D91__0.276


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-03T08:18:38mrhw
892350586011251725577
B6F0893F5F48644Eno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 410000, B2 = 4100000 (P-1 stage 2)
B1 = 410000, B2 = 2460000 (P-1 stage 2)
B1 = 205000, B2 = 5842500 (P-1 stage 2)
B1 = 410000, B2 = 2050000 (P-1 stage 2)
B1 = 410000, B2 = 1640000 (P-1 stage 2)
B1 = 410000, B2 = 1230000 (P-1 stage 2)
B1 = 410000, B2 = 820000 (P-1 stage 2)
B1 = 410000 (P-1 stage 1)
B1 = 115000, B2 = 2587500 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 198720 (P-1 stage 1)
B1 = 165600 (P-1 stage 1)
B1 = 138000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 55000, B2 = 866250 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
269
268
267
266
265
264
262
261
260
250
260
270
280
290
2100
Last modified: 2022-03-12T19:47:59+00:00