is 2 3401329 - 1
has 1023903 decimal digits
takes 0.357 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9ADA2F83275C4273double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27070.252168.5714%150000007500000008.382810.3015%78.634971.8091%3.2376%
PrimeNet2600.045263.3333%140002800000.00432.8474%0.049564.3774%1.0440%
GPU722641.046565.6250%190003200000.00541.8193%1.051866.2504%0.6254%
Difference+6+69.2057+2.9464%+14981000+749680000+8.3774+8.4822%+77.5831+5.5587%+5.5587%

Known prime factors (1 factor, 79.5 bits, 0.00233805% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34013298695895211260469735681532479.525127830845108786444
22 × 61 × 2017 × 259740657503
2021-11-11201725974065750369,0622,155.14,025.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:42:00Carsten Kossendeyleela15000206250---0.004--0.591%
2011-10-25T20:18:00markrtiny2250005737500---0.080--2.971%
2020-02-02T14:57:03BigBrotherWinston30000009000000012---1.179--6.777%
2021-03-28T09:29:49axnManual testing15000000750000000---8.383--10.302%
2022-04-08T06:41:05Jocelyn LaroucheManual testing1000000145126800---1.348--6.528%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-23T00:00:00ANONYMOUSv4_computers21260--0.045--
2009-03-25T05:53:00S485122USB-A260261--0.045--
2011-08-10T10:32:00Grant McCrackenthumper261262--0.090--
2012-08-18T15:30:00GrunwalderGIMPManual testing21263--0.469--
2016-02-23T16:29:28Mark RoseManual testing262263--0.289--
2015-01-30T19:15:00VictordeHollanderManual testing263264--0.577--
2015-01-30T19:15:00VictordeHollanderManual testing264265--1.099--
2015-04-05T18:06:00Gordon SpenceManual testing265266--2.197--
2017-01-26T04:57:42Gordon SpenceManual testing266267--4.394--
2019-02-18T10:31:24TJAOIManual testing267268--8.788--
2020-12-25T06:38:52axnManual testing268269--17.58--
2021-09-09T02:09:17MadPooManual testing269270--35.15--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.210 GHz-days
Estimated T-Level:2.800
DigitsB1CurvesCompleteFacMiss
201100056 / 1000.56056.960%
255000056 / 2800.20081.844%

New Calculation Method

Total ECM effort:8.210 GHz-days
Estimated T-Level:2.800
DigitsB1CompleteFacMiss
20110001.80616.424%
25500000.16384.937%
302500000.01099.000%


ECM Summary

B1B2factorcurvesGHz-days
500005000000507.330
50000500000060.880


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-07T00:00:00ANONYMOUSv4_computers9ADA2F83275C42730.357
1999-07-12T00:00:00ANONYMOUSv4_computers9ADA2F83275C42730.357


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-14T20:54:39SRJ2877LTOS
869589521126046973568153
0BBB9FC5F208B503no
2021-11-19T23:00:48LordJuliusWhiteBox
869589521126046973568153
0BBB9FC5F208B503no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 750000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 1000000, B2 = 145126800 (P-1 stage 2)
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 225000, B2 = 5737500 (P-1 stage 2)
B1 = 225000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-08T06:41:05+00:00