is 2 346721 - 1
has 104374 decimal digits
takes 0.003 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as pplus1 on 2022-12-18, 0.0% done, ETC 2022-12-25
factored, 0 LL tests remaining
ResidueStatus
L-LEC0C00FC33D6F21Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268171.910272.0588%6000000030000000003.095012.4593%175.005275.5401%
Target2440.000056.8182%60001700000.000212.0277%0.000262.0120%
Difference+24+171.9102+15.2406%+59994000+2999830000+3.0948+0.4316%+175.0050+13.5281%

Known prime factors (1 factor, 98.9 bits, 0.02853500% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3467216066813454223470065686300182073098.937874884050032082000468143
40196062421 × 21765416743283		2022-12-2240196062421217654167432832.734e+1117,20431,134

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-08ANONYMOUSv4_computers500001000000---0.001--1.235%
2002-06-09ANONYMOUSv4_computers327683276800---0.003--1.433%
2002-08-17ANONYMOUSv4_computers655366553600---0.006--2.076%
2003-04-03ANONYMOUSv4_computers13107213107200---0.012--2.846%
2006-01-15Jocelyn Larouchev4_computers346721346721---0.005--1.148%
2010-05-20Budannan10000000200000000---0.286--7.877%
2016-10-31mikrS05260000000300000000012---3.095--12.459%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-12-22masserManual testing2000000064000000027P+13098.9370.774
2022-12-22masserManual testing200000006200000009511--0.761
2022-12-28masserManual testing2000000062000000065P+13098.9370.761


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19ANONYMOUSv4_computers21254--0.007--
2022-03-07LordJuliusManual testing254255--0.007--
2001-03-11ANONYMOUSv4_computers21256--0.028--
2002-02-24ANONYMOUSv4_computers21257--0.055--
2004-01-27ANONYMOUSv4_computers21258--0.111--
2008-12-30Sturle Sundegoldiek.ifi258259--0.111--
2009-01-25Sturle Sundegoscha.ifi259260--0.221--
2013-06-26Sid & AndyBuzz260261--0.443--
2015-07-25NRManual testing261262--0.886--
2015-12-18Gordon SpenceManual testing262263--2.831--
2015-12-18Gordon SpenceManual testing263264--5.663--
2018-02-16Gordon SpenceManual testing264265--10.78--
2019-12-02Gordon SpenceManual testing265266--21.55--
2022-07-30Gordon SpenceManual testing266267--43.11--
2022-07-30Gordon SpenceManual testing267268--86.21--


ECM factoring results:
Total ECM effort:33.474 GHz-days
Estimated T-Level:29.855
DigitsB1CompleteFacMiss
201100063.8600.000%
25500009.2220.010%
302500000.97137.867%
3510000000.08092.324%
4030000000.00599.467%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.929
2500002500000058430.54


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03ANONYMOUSv4_computersEC0C00FC33D6F21F0.003


PRP results:
dateuseridcompidcofactorsres64PRP
2022-12-22masserManual testing
606681345422347006568630018207
A7F195825DBB7143no


P-1 factor-bounds graph:
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 20000000, B2 = 640000000 (P+1 stage 2)
B1 = 20000000, B2 = 620000000 (P+1 stage 2)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 20000000 (P+1 stage 1)
B1 = 10000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 346721 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-28T15:22:19+00:00