is 2 3271111 - 1
has 984703 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-
PRP680DE216347608AAverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.221667.6471%40000001500000001.82068.7791%20.042270.4874%2.8403%
PrimeNet2600.047063.3333%140002600000.00422.7741%0.051164.3505%1.0172%
GPU722641.088165.6250%170002800000.00481.6864%1.092966.2047%0.5797%
Difference+4+17.1335+2.0221%+3983000+149720000+1.8158+7.0927%+18.9493+4.2827%+4.2827%

Known prime factors (1 factor, 104.3 bits, 0.00318861% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32711112502456795761361485402404866322332104.3033825086944101501730455501
3 × 19 × 10781 × 130787 × 1821487 × 26128637
2020-12-101821487261286374.188e+100.47910.5645

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-08T12:41:00Carsten Kossendeydurandal15000191250---0.004--0.786%
2011-09-18T18:16:00harleeP4_2600600001065000---0.017--1.938%
2014-06-26T21:21:00ANONYMOUSManual testing7962279622---0.012--0.754%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9924499244---0.015--0.861%
2016-01-16T00:42:31Jocelyn LaroucheManual testing38340038340006---0.087--3.598%
2020-12-10T04:53:02mikrMSI40000001500000001232104.3031.8210.6873.6418.779%
2021-01-18T13:43:04Jocelyn LaroucheManual testing40340032711116---0.085--3.483%
2022-01-06T11:34:10Jocelyn LaroucheManual testing1567775116447100---1.192--7.842%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-24T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-02T04:52:00S485122USB-A260261--0.047--
2011-12-14T05:49:00Sid & AndyBuzz261262--0.094--
2012-12-30T00:06:00dbaughManual testing262263--0.300--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.600--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.142--
2015-06-28T13:57:00ThaManual testing265266--2.284--
2021-02-21T11:36:43Jocelyn LaroucheManual testing265266--2.284--
2021-02-22T09:03:46Jocelyn LaroucheManual testing266267--4.569--
2017-04-04T13:00:38Gordon SpenceManual testing266267--4.569--
2018-12-10T15:07:55TJAOIManual testing267268--9.138--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.183 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.183 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.183


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07T00:00:00ANONYMOUSv4_computers5602A3354D4AB8__0.344


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-11T01:17:52JayderBlack_Adder
25024567957613614854024048663223
680DE216347608AAno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1567775, B2 = 116447100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1567775 (P-1 stage 1)
B1 = 383400, B2 = 3834000 (P-1 stage 2)
B1 = 403400, B2 = 3271111 (P-1 stage 2)
B1 = 403400 (P-1 stage 1)
B1 = 383400 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 99244 (P-1 stage 1)
B1 = 79622 (P-1 stage 1)
B1 = 60000 (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: 2022-01-06T11:34:10+00:00