is 2 3202799 - 1
has 964139 decimal digits
takes 0.273 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD4B4D4F1ABA4E144double-checked
PRP7DF3E10275084206verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.275868.1159%40000001500000001.47538.0992%38.751170.6983%2.5824%
PrimeNet2600.048063.3333%130002400000.00312.6579%0.051164.3079%0.9745%
GPU722641.111365.6250%160002600000.00361.6160%1.114966.1805%0.5555%
Difference+5+36.1645+2.4909%+3984000+149740000+1.4717+6.4833%+37.6362+4.5178%+4.5178%

Known prime factors (1 factor, 77.9 bits, 0.00243082% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32027992731907915774393161581532477.85442648756849468124
22 × 4349 × 7433 × 329832043
2021-02-2474333298320439,813.22.21864.1421

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2008-11-20T01:15:00Matthias WurtingerManual testing131072131072---0.016--0.875%
2010-10-02T00:00:00ANONYMOUSv4_computers950001805000---0.023--2.153%
2011-11-28T20:59:00harleeP4_26002100005040000---0.058--3.158%
2018-08-06T19:37:33Jocelyn Larouchelow 4M420000840000---0.055--2.101%
2018-08-07T17:09:34Jocelyn Larouchelow 4M4200001260000---0.057--2.407%
2018-08-13T19:32:42Jocelyn Larouchelow 4M4200002940000---0.069--3.059%
2018-08-14T23:01:50Jocelyn Larouchelow 4M4200003360000---0.072--3.163%
2018-08-15T10:51:05Jocelyn Larouchelow 4M4200003780000---0.074--3.256%
2019-12-18T06:38:25mikrMSI400000015000000012---1.475--8.099%
2022-03-11T08:07:53Jocelyn LaroucheManual testing1000000134343300---1.020--6.999%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-13T00:00:00ANONYMOUSv4_computers21259--0.024--
2001-05-27T00:00:00ANONYMOUSv4_computers21260--0.048--
2008-11-22T12:51:00Matthias WurtingerWUR_E6600260261--0.048--
2008-11-22T12:53:00Matthias WurtingerWUR_E6600261262--0.096--
2013-01-03T08:47:00dbaughManual testing262263--0.306--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.613--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.167--
2015-06-21T21:40:00ThaManual testing265266--2.333--
2017-03-15T13:25:42Gordon SpenceManual testing266267--4.666--
2019-01-28T14:25:40TJAOIManual testing267268--9.333--
2021-01-27T17:52:57ViliamFManual testing268269--18.67--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.283 GHz-days
Estimated T-Level:1.600
DigitsB1CurvesCompleteFacMiss
201100032 / 1000.32072.498%
255000032 / 2800.11489.182%

New Calculation Method

Total ECM effort:4.283 GHz-days
Estimated T-Level:1.600
DigitsB1CompleteFacMiss
20110001.10932.987%
25500000.10390.181%
302500000.00799.336%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.585
50000500000050.587
800001128000051.112


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-13T00:00:00ANONYMOUSv4_computersD4B4D4F1ABA4E1440.273
1999-06-06T00:00:00ANONYMOUSv4_computersD4B4D4F1ABA4E1440.273


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-25T18:10:29Cork3tits
273190791577439316158153
7DF3E10275084206no


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 = 420000, B2 = 3780000 (P-1 stage 2)
B1 = 420000, B2 = 3360000 (P-1 stage 2)
B1 = 420000, B2 = 2940000 (P-1 stage 2)
B1 = 210000, B2 = 5040000 (P-1 stage 2)
B1 = 420000, B2 = 1260000 (P-1 stage 2)
B1 = 420000, B2 = 840000 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 210000 (P-1 stage 1)
B1 = 95000, B2 = 1805000 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-11T08:07:53+00:00