is 2 3000409 - 1
has 903214 decimal digits
takes 0.255 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L6840848BF73A5ECCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.790268.1159%20000000116564442540786.087218.0496%825.877373.8709%5.7550%
PrimeNet2600.051263.3333%120002200000.00292.5152%0.054164.2556%0.9222%
GPU722641.186365.6250%130002000000.00291.3870%1.189166.1018%0.4768%
Difference+5+38.6039+2.4909%+19987000+116564242540+786.0843+16.6627%+824.6882+7.7691%+7.7691%

Known prime factors (2 factors, 159.6 bits, 0.00531782% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3000409294334117228538401612064.6744904899919120
24 × 5 × 107 × 573002327
2013-12-121075730023271.38573.85287.1958
3000409365068475462349719673851911372994.8826083645187411944832752
24 × 2081 × 10321 × 39371 × 449648957
2021-09-28393714496489572.249e+93.02795.6468

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3000409107452107453179037345765640990944896626343185305749159.556
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.200%
2009-05-08T18:54:00Rob_Deetwopc35000551250---0.008--1.213%
2010-04-16T13:40:00Rob_Deetwopc100000200000---0.013--1.056%
2010-04-17T16:23:00Rob_Deetwopc200000300000---0.025--1.329%
2010-04-18T19:54:00Rob_Deetwopc300000400000---0.038--1.531%
2010-04-19T15:33:00Rob_Deetwopc400000500000---0.050--1.697%
2010-04-20T15:16:00Rob_Deetwopc500000600000---0.062--1.838%
2010-04-21T14:13:00Rob_Deetwopc600000700000---0.075--1.962%
2010-04-22T15:36:00Rob_Deetwopc700000800000---0.087--2.073%
2010-04-23T15:33:00Rob_Deetwopc800000900000---0.099--2.174%
2010-04-24T20:41:00Rob_Deetwopc9000001000000---0.112--2.267%
2010-04-25T12:32:00Rob_Deetwopc10000001100000---0.124--2.352%
2020-09-10T19:23:57Jocelyn LaroucheManual testing3500356000818---0.081--3.508%
2021-01-13T11:21:19Jocelyn LaroucheManual testing3500353000409012---0.243--4.774%
2021-01-14T22:58:07Jocelyn LaroucheManual testing30004093000409---0.370--3.353%
2021-09-16T18:54:14Jocelyn LaroucheManual testing30004093000409---0.370--3.353%
2021-09-18T11:40:55Jocelyn LaroucheManual testing30004093000409012---0.552--5.987%
2021-12-11T09:24:59LuminescenceMain20000000116564442540-
skipped known factors(?)
--786.1--18.050%
2021-12-21T11:44:45Jocelyn LaroucheManual testing3000409138761700---1.283--7.779%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-28T20:47:56mikrNitron15000000153000000019711P-12994.88212.80


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers?260--0.026--
2009-01-23T05:59:00Jayson Kingatlas260261--0.051--
2010-08-18T01:42:00Sid & AndyBuzz261262--0.102--
2013-01-07T13:52:00dbaughManual testing262263--0.327--
2013-12-04T00:20:00krackerManual testing263264--0.654--
2013-12-12T21:14:00David CampeauManual testing26426564.674200.1990.5180.405
2021-01-15T03:12:21Jocelyn LaroucheManual testing265266--2.491--
2021-02-21T11:36:43Jocelyn LaroucheManual testing266267--4.981--
2021-03-02T21:51:13Jocelyn LaroucheManual testing267268--9.96--
2021-12-30T12:54:15Jocelyn LaroucheManual testing268269--19.92--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.045 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.045 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.045


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-15T00:00:00ANONYMOUSv4_computers6840848BF73A5ECC0.255
2000-01-19T00:00:00ANONYMOUSv4_computers6840848BF73A5ECC0.255


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-27T04:44:44Oliver KruseGTX-3
29433411722853840161
E5278F56E350BE__no
2017-12-10T07:25:39kkmrkkblmbrbkc4.xlarge
29433411722853840161
E5278F56E350BE__no
2021-09-29T11:03:29SRJ2877LTOS
29433411722853840161
36506847546234971967385191137
E5278F56E350BE51no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 116564442540 (P-1 stage 2)
B1 = 15000000, B2 = 1530000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 15000000 (P-1 stage 1)
B1 = 3000409, B2 = 138761700 (P-1 stage 2)
B1 = 3000409, B2 = 30004090 (P-1 stage 2)
B1 = 3000409 (P-1 stage 1)
B1 = 350035, B2 = 30004090 (P-1 stage 2)
B1 = 1000000, B2 = 1100000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 900000, B2 = 1000000 (P-1 stage 2)
B1 = 900000 (P-1 stage 1)
B1 = 800000, B2 = 900000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 700000, B2 = 800000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 350035, B2 = 6000818 (P-1 stage 2)
B1 = 600000, B2 = 700000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 500000, B2 = 600000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 400000, B2 = 500000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 350035 (P-1 stage 1)
B1 = 300000, B2 = 400000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 200000, B2 = 300000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 35000, B2 = 551250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-30T12:54:15+00:00