is 2 361349 - 1
has 108777 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L33DBD74F16EF2854double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268164.951072.0588%6000000030000000003.095012.4968%168.046075.5506%
Target2440.000056.8182%650014400000.001212.3353%0.001262.1448%
Difference+24+164.9510+15.2406%+59993500+2998560000+3.0939+0.1615%+168.0448+13.4058%

Known prime factors (1 factor, 117.3 bits, 0.03246267% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
36134920506223193742472508859123650515673736117.304283745398406284125718614464832
26 × 32 × 1181 × 979200269 × 425975794901413		2023-01-019792002694259757949014134.988e+11326,251609,322

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-10ANONYMOUSv4_computers500001000000---0.001--1.244%
2002-06-09ANONYMOUSv4_computers327683276800---0.003--1.444%
2002-08-17ANONYMOUSv4_computers655366553600---0.006--2.090%
2003-04-03ANONYMOUSv4_computers13107213107200---0.012--2.863%
2006-01-15Jocelyn Larouchev4_computers361349361349---0.005--1.180%
2011-08-14Jocelyn LaroucheManual testing12434311243431---0.017--2.049%
2012-03-05Jocelyn LaroucheManual testing15542891554289---0.022--2.237%
2012-03-07alpertronManual testing10000000200000000---0.286--7.907%
2016-11-22mikrS05260000000300000000012---3.095--12.497%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-12-31masserManual testing2000000064000000027--0.774
2023-01-01masserManual testing2000000062000000019071P+136117.3040.761
2023-01-01masserManual testing2000000062000000065--0.761


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24ANONYMOUSv4_computers252253--0.002--
2000-04-19ANONYMOUSv4_computers21254--0.007--
2022-03-07LordJuliusManual testing254255--0.007--
2001-03-11ANONYMOUSv4_computers21256--0.027--
2002-02-10ANONYMOUSv4_computers21257--0.053--
2004-01-18ANONYMOUSv4_computers21258--0.106--
2008-12-29Sturle Sundehaydn.ifi258259--0.106--
2009-01-27Sturle Sundegiovanni.ifi259260--0.213--
2013-05-11lycornasteroid260261--0.425--
2015-07-26NRManual testing261262--0.850--
2015-12-21Gordon SpenceManual testing262263--2.717--
2015-12-21Gordon SpenceManual testing263264--5.433--
2018-02-14BloodERazorManual testing264265--10.34--
2018-02-22Gordon SpenceManual testing264265--10.34--
2019-05-03Gordon SpenceManual testing265266--20.68--
2022-09-23LordJuliusManual testing266267--41.36--
2022-11-04Gordon SpenceManual testing267268--82.72--


ECM factoring results:
Total ECM effort:33.590 GHz-days
Estimated T-Level:29.863
DigitsB1CompleteFacMiss
201100063.9510.000%
25500009.2360.010%
302500000.97337.808%
3510000000.08092.311%
4030000000.00599.466%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.935
2500002500000058530.66


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Conrad Curry33DBD74F16EF28540.004
2016-06-01MadPooManual testing33DBD74F16EF28540.004


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-01massercoffeelake
205062231937424725088591236505156737
22962EECC7ACE365no


P-1 factor-bounds graph:
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
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 = 1554289 (P-1 stage 1)
B1 = 1243431 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 361349 (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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266
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253
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=29.86 ~= 83-bit
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Last modified: 2023-07-11T14:45:05+00:00