is 2 346651 - 1
has 104353 decimal digits
takes 0.003 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4749BEF097C07411double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual268171.944972.0588%6000000030000000003.095012.4591%175.040075.5400%3.4812%
PrimeNet2400.000052.5000%34001000000.000116.2486%0.000160.2181%7.7181%
GPU722440.000056.8182%60001700000.000212.0273%0.000262.0118%5.1936%
Difference+24+171.9449+15.2406%+59994000+2999830000+3.0948+0.4318%+175.0397+13.5282%+13.5282%

Known prime factors:
No known factors for M346651

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-08T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.235%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.433%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.076%
2003-04-03T00:00:00ANONYMOUSv4_computers13107213107200---0.012--2.846%
2006-01-15T00:00:00Jocelyn Larouchev4_computers346651346651---0.005--1.148%
2010-05-20T14:39:00Budannan10000000200000000---0.286--7.876%
2016-11-02T17:09:41mikrS05860000000300000000012---3.095--12.459%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:56LordJuliusManual testing254255--0.007--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.028--
2002-02-24T00:00:00ANONYMOUSv4_computers21257--0.055--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.111--
2008-12-30T17:00:00Sturle Sundegoldiek.ifi258259--0.111--
2009-01-25T15:35:00Sturle Sundegoscha.ifi259260--0.222--
2013-06-26T03:39:00Sid & AndyBuzz260261--0.443--
2015-07-25T08:48:00NRManual testing261262--0.886--
2015-12-18T23:04:03Gordon SpenceManual testing262263--2.832--
2015-12-18T23:04:03Gordon SpenceManual testing263264--5.664--
2018-02-16T09:38:18Gordon SpenceManual testing264265--10.78--
2019-12-02T11:23:46Gordon SpenceManual testing265266--21.56--
2022-07-30T21:46:51Gordon SpenceManual testing266267--43.11--
2022-07-30T21:46:51Gordon SpenceManual testing267268--86.23--


ECM factoring results:

Old Calculation Method

Total ECM effort:33.474 GHz-days
Estimated T-Level:29.563
DigitsB1CurvesCompleteFacMiss
2011000864 / 1008.6400.017%
2550000864 / 2803.0864.545%
30250000584 / 6400.91340.123%

New Calculation Method

Total ECM effort:33.474 GHz-days
Estimated T-Level:29.563
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)
2002-02-03T00:00:00ANONYMOUSv4_computers4749BEF097C074110.003


PRP results:
No PRP results for M346651


P-1 factor-bounds graph:
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 346651 (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: 2022-07-30T21:46:51+00:00