is 2 3461099 - 1
has 1041895 decimal digits
takes 0.364 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA63B2836E2FB1BF2double-checked
PRPDD7D7321060628E9verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.493968.1159%20000000100000000011.177111.6147%45.671071.8192%3.7032%
PrimeNet2600.044463.3333%150002800000.00452.9030%0.048964.3978%1.0644%
GPU722641.028465.6250%190003400000.00561.8559%1.033966.2630%0.6380%
Difference+5+33.4655+2.4909%+19981000+999660000+11.1715+9.7589%+44.6370+5.5562%+5.5562%

Known prime factors (1 factor, 77.8 bits, 0.00224876% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34610992689968831257635330028392477.83238860038838207681
4111 × 9452697357871
2021-10-274111945269735787116,54078,431146,487

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:09:00Carsten Kossendeyleela20000235000---0.005--0.806%
2011-11-08T00:47:00harleeP4_260060000990000---0.017--1.687%
2014-08-21T21:46:00Jocelyn LaroucheManual testing7854478544---0.012--0.653%
2014-09-22T21:30:00HBendtzHAL900750000010000000---0.155--4.164%
2021-03-05T07:09:22axnManual testing200000001000000000---11.18--11.615%
2022-04-10T23:56:42Jocelyn LaroucheManual testing1000000126668850---1.195--6.997%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2006-04-14T00:00:00ANONYMOUSv4_computers21260--0.044--
2009-03-21T17:06:00S485122USB-Z260261--0.044--
2011-07-30T14:55:00markroldgamer261262--0.089--
2012-08-18T15:35:00GrunwalderGIMPManual testing21263--0.461--
2016-02-23T16:29:30Mark RoseManual testing262263--0.284--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.567--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.080--
2015-04-18T18:04:00Gordon SpenceManual testing265266--2.159--
2017-02-09T04:36:24Gordon SpenceManual testing266267--4.318--
2019-02-11T13:34:46TJAOIManual testing267268--8.636--
2021-01-07T01:43:23axnManual testing268269--17.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.828 GHz-days
Estimated T-Level:2.250
DigitsB1CurvesCompleteFacMiss
201100045 / 1000.45063.619%
255000045 / 2800.16185.129%

New Calculation Method

Total ECM effort:6.828 GHz-days
Estimated T-Level:2.250
DigitsB1CompleteFacMiss
20110001.76017.211%
25500000.16384.982%
302500000.01098.977%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.295
50000670000020.340
50000675000071.193


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computersA63B2836E2FB1BF20.364
1999-09-22T00:00:00ANONYMOUSv4_computersA63B2836E2FB1BF20.364
2006-04-14T00:00:00ANONYMOUSv4_computersA63B2836E2FB1BF20.364


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-28T01:06:54kutensterra
268996883125763533002839
DD7D7321060628E9no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1000000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 78544 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 235000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T23:56:42+00:00