is 2 3234893 - 1
has 973800 decimal digits
takes 0.275 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L84EDB23F39539A37double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26936.905968.1159%40000001500000001.47538.1070%38.381370.7008%2.5848%
PrimeNet2600.047563.3333%140002600000.00342.7685%0.050964.3485%1.0151%
GPU722641.100365.6250%160002800000.00371.6534%1.104066.1933%0.5683%
Difference+5+35.8057+2.4909%+3984000+149720000+1.4716+6.4537%+37.2772+4.5074%+4.5074%

Known prime factors (1 factor, 117.3 bits, 0.00362659% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
323489320690007981710813395011734471291819336117.31631979431748918454791258527672
23 × 7 × 172 × 37 × 25463 × 179351 × 287921 × 40615933
2020-04-28287921406159334.378e+100.30670.5101

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:38:00Carsten Kossendeydurandal15000191250---0.003--0.669%
2011-09-28T20:03:00markrtiny2000004500000---0.054--3.061%
2018-07-24T12:57:29Jocelyn Larouchelow 4M4000001042180---0.054--2.259%
2018-07-27T18:51:11Jocelyn Larouchelow 4M40000040000006---0.074--3.286%
2020-04-28T09:05:57mikrMSI40000001500000001236117.3161.4750.5512.9518.107%
2021-01-18T13:43:04Jocelyn LaroucheManual testing42000032348936---0.071--3.138%
2021-12-25T10:08:08Jocelyn LaroucheManual testing3234893116701200-
skipped known factor: 206900079817108133950117344712918193
--1.162--7.678%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-30T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-05T22:53:00S485122USB-Z260261--0.047--
2011-07-25T20:43:00Carsten KossendeyManual testing261263--0.398--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.607--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.155--
2015-06-24T21:57:00ThaManual testing265266--2.310--
2021-02-21T11:36:42Jocelyn LaroucheManual testing265266--2.310--
2021-02-22T09:03:46Jocelyn LaroucheManual testing266267--4.620--
2017-03-26T03:14:46Gordon SpenceManual testing266267--4.620--
2018-11-26T14:19:37TJAOIManual testing267268--9.240--
2021-12-08T12:48:18Jocelyn LaroucheManual testing268269--18.48--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.765 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.765 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.765


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-21T00:00:00ANONYMOUSv4_computers84EDB23F39539A370.275
1999-05-30T00:00:00ANONYMOUSv4_computers84EDB23F39539A370.275


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-28T11:07:08mikrMSI
206900079817108133950117344712918193
D444C10FA4FE65ECno
2020-04-28T11:58:53ANONYMOUSdory
206900079817108133950117344712918193
D444C10FA4FE65ECno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 3234893, B2 = 116701200 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3234893 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 420000, B2 = 3234893 (P-1 stage 2)
B1 = 400000, B2 = 1042180 (P-1 stage 2)
B1 = 200000, B2 = 4500000 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-25T10:08:08+00:00