is 2 3201917 - 1
has 963874 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-L-unknown--unknown-
PRP222D9E293C209F5Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.286068.1159%40000001500000001.47538.0990%38.761470.6982%2.5823%
PrimeNet2600.048063.3333%130002400000.00312.6577%0.051164.3078%0.9745%
GPU722641.111665.6250%160002600000.00361.6159%1.115266.1805%0.5555%
Difference+5+36.1744+2.4909%+3984000+149740000+1.4717+6.4831%+37.6461+4.5178%+4.5178%

Known prime factors (1 factor, 71.6 bits, 0.00223731% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
320191736711935411652803945992271.637573280559921647
386017 × 1485117391
2021-03-283860171485117391260.1110.03118.650

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2013-09-05T20:56:00Squeeky_SquirrelP4_26001100002557500---0.030--2.411%
2016-11-18T01:19:23Squeeky_SquirrelP4_2600200000555000012---0.061--3.198%
2018-07-17T23:14:20Jocelyn Larouchelow 4M283461556922---0.037--1.765%
2018-07-20T18:27:04Jocelyn Larouchelow 4M40000018673056---0.059--2.695%
2018-07-24T12:57:26Jocelyn Larouchelow 4M4000003067305---0.067--3.075%
2018-07-24T15:01:06Jocelyn Larouchelow 4M40000040000006---0.074--3.281%
2019-12-12T06:57:15mikrMSI400000015000000012---1.475--8.099%
2022-03-11T08:07:51Jocelyn LaroucheManual testing1000000134343300---1.020--6.998%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.048--
2008-11-20T12:25:00Matthias WurtingerWUR_E6600260261--0.048--
2008-11-20T12:25:00Matthias WurtingerWUR_E6600261262--0.096--
2012-11-26T12:17:00lycornManual testing262265--2.087--
2015-06-21T21:40:00ThaManual testing265266--2.334--
2017-03-15T13:25:41Gordon SpenceManual testing266267--4.668--
2019-01-28T14:25:41TJAOIManual testing267268--9.335--
2021-01-27T17:52:54ViliamFManual testing268269--18.67--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.106 GHz-days
Estimated T-Level:1.950
DigitsB1CurvesCompleteFacMiss
201100039 / 1000.39067.573%
255000039 / 2800.13986.976%

New Calculation Method

Total ECM effort:5.106 GHz-days
Estimated T-Level:1.950
DigitsB1CompleteFacMiss
20110001.58520.485%
25500000.15285.861%
302500000.01099.000%


ECM Summary

B1B2factorcurvesGHz-days
500005000000293.407
50000500000050.587
800001128000051.111


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-21T00:00:00ANONYMOUSv4_computers83100B9186F3E7__0.273


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-29T23:06:07Hyeonseung KwonL5
3671193541165280394599
222D9E293C209F5Bno


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 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000, B2 = 3067305 (P-1 stage 2)
B1 = 200000, B2 = 5550000 (P-1 stage 2)
B1 = 400000, B2 = 1867305 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 283461, B2 = 556922 (P-1 stage 2)
B1 = 283461 (P-1 stage 1)
B1 = 110000, B2 = 2557500 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
104
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106
107
104
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109
1010
TF factor-bounds graph:
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266
265
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2100
Last modified: 2022-03-11T08:07:51+00:00