is 2 3277093 - 1
has 986504 decimal digits
takes 0.344 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-
PRPC6E8C36255D52C91verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.188367.6471%10000001343160001.25847.6493%19.446870.1218%2.4748%
PrimeNet2600.046963.3333%140002600000.00422.7750%0.051064.3508%1.0175%
GPU722641.086165.6250%170002800000.00481.6870%1.090966.2049%0.5799%
Difference+4+17.1022+2.0221%+983000+134036000+1.2537+5.9623%+18.3559+3.9169%+3.9169%

Known prime factors (1 factor, 110.1 bits, 0.00335824% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3277093134638215510802779304699928772016734110.053205423244794704909663381431
13 × 1117 × 9613 × 590279 × 876329 × 2844917
2021-01-1987632928449174.558e+100.14980.2716

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T04:55:00Carsten Kossendeydurandal15000191250---0.004--0.786%
2011-09-20T11:35:00harleeP4_2600600001065000---0.017--1.938%
2014-06-26T21:21:00ANONYMOUSManual testing7958679586---0.012--0.754%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9917299172---0.015--0.861%
2016-01-22T12:13:13Jocelyn LaroucheManual testing38340038340006---0.087--3.598%
2021-01-19T08:53:30mikrMSI4000000400000034110.0530.6090.6881.2184.085%
2022-03-19T20:23:38Jocelyn LaroucheManual testing1000000134316000-
skipped known factor: 1346382155108027793046999287720167
--1.258--7.649%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-27T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-03T10:33:00S485122USB-A260261--0.047--
2011-10-02T21:36:00Grant McCrackenthumper261262--0.094--
2012-12-30T00:06:00dbaughManual testing262263--0.300--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.599--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.140--
2015-06-28T13:57:00ThaManual testing265266--2.280--
2017-04-05T22:02:28Gordon SpenceManual testing266267--4.561--
2018-12-03T19:08:43TJAOIManual testing267268--9.121--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.184 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.184 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computersAB8CAB18AE932E__0.344


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-21T03:31:38Chang Chia-Tchehomura
1346382155108027793046999287720167
C6E8C36255D52C91no


P-1 factor-bounds graph:
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 = 99172 (P-1 stage 1)
B1 = 79586 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
2110
2120
Last modified: 2022-03-19T20:23:38+00:00