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
factored, 0 LL tests remaining
ResidueStatus
L-L6840848BF73A5ECCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26939.790268.1159%20000000116564442540786.087218.0496%825.877373.8709%
Target2641.186365.6250%130002000000.00291.3870%1.189166.1018%
Difference+5+38.6039+2.4909%+19987000+116564242540+786.0843+16.6627%+824.6882+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:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21ANONYMOUSv4_computers2048204800---0.002--0.200%
2009-05-08Rob_Deetwopc35000551250---0.008--1.213%
2010-04-16Rob_Deetwopc100000200000---0.013--1.056%
2010-04-17Rob_Deetwopc200000300000---0.025--1.329%
2010-04-18Rob_Deetwopc300000400000---0.038--1.531%
2010-04-19Rob_Deetwopc400000500000---0.050--1.697%
2010-04-20Rob_Deetwopc500000600000---0.062--1.838%
2010-04-21Rob_Deetwopc600000700000---0.075--1.962%
2010-04-22Rob_Deetwopc700000800000---0.087--2.073%
2010-04-23Rob_Deetwopc800000900000---0.099--2.174%
2010-04-24Rob_Deetwopc9000001000000---0.112--2.267%
2010-04-25Rob_Deetwopc10000001100000---0.124--2.352%
2020-09-10Jocelyn LaroucheManual testing3500356000818---0.081--3.508%
2021-01-13Jocelyn LaroucheManual testing3500353000409012---0.243--4.774%
2021-01-14Jocelyn LaroucheManual testing30004093000409---0.370--3.353%
2021-09-16Jocelyn LaroucheManual testing30004093000409---0.370--3.353%
2021-09-17Jocelyn LaroucheManual testing30004093000409012---0.552--5.987%
2021-12-11LuminescenceMain20000000116564442540-
skipped known factor: 29433411722853840161
skipped known factor: 36506847546234971967385191137
--786.1--18.050%
2021-12-21Jocelyn LaroucheManual testing3000409138761700---1.283--7.779%
2022-06-04Jocelyn LaroucheManual testing60008181252883940-
skipped known factor: 29433411722853840161
skipped known factor: 36506847546234971967385191137
--9.124--10.986%
2022-07-19Jocelyn LaroucheManual testing60008183040218720-
skipped known factor: 29433411722853840161
skipped known factor: 36506847546234971967385191137
--21.14--12.111%


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


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02ANONYMOUSv4_computers21260--0.051--
2009-01-23Jayson Kingatlas260261--0.051--
2010-08-18Sid & AndyBuzz261262--0.102--
2013-01-07dbaughManual testing262263--0.327--
2013-12-04krackerManual testing263264--0.654--
2013-12-12David CampeauManual testing26426564.674200.1990.5140.401
2022-03-10LordJuliusManual testing26426564.674200.1990.5140.401
2021-01-15Jocelyn LaroucheManual testing265266--2.491--
2021-02-21Jocelyn LaroucheManual testing266267--4.981--
2021-03-02Jocelyn LaroucheManual testing267268--9.96--
2021-12-30Jocelyn LaroucheManual testing268269--19.92--


ECM factoring results:
Total ECM effort:1.045 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.045


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Ken Kriesel6840848BF73A5ECC0.255
1999-12-15ANONYMOUSv4_computers6840848BF73A5ECC0.255
2000-01-19ANONYMOUSv4_computers6840848BF73A5ECC0.255


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-27Oliver KruseGTX-3
29433411722853840161
E5278F56E350BE__no
2017-12-10kkmrkkblmbrbkc4.xlarge
29433411722853840161
E5278F56E350BE__no
2021-09-29SRJ2877LTOS
29433411722853840161
36506847546234971967385191137
E5278F56E350BE51no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 116564442540 (P-1 stage 2)
B1 = 6000818, B2 = 3040218720 (P-1 stage 2)
B1 = 15000000, B2 = 1530000000 (P-1 stage 2)
B1 = 6000818, B2 = 1252883940 (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 = 6000818 (P-1 stage 1)
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)
101
102
103
104
105
106
107
108
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67.8
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
290
2100
Last modified: 2023-04-26T21:34:10+00:00