is 2 308951 - 1
has 93004 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26796.176871.6418%50000500000.00050.4014%96.177371.7556%0.1138%
PrimeNet2400.000052.5000%3200900000.000115.6291%0.000159.9238%7.4238%
GPU722440.000056.8182%55001500000.000111.4405%0.000161.7584%4.9402%
Difference+23+96.1768+14.8236%+44500-100000+0.0004-11.0391%+96.1772+9.9972%+9.9972%

Known prime factors (4 factors, 218.5 bits, 0.07070720% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
308951124198303926.888201
3 × 67
-3673.020e-116.689e-86.689e-8
30895113494979691030.3302184
23 × 3 × 7 × 13
2008-07-218136.819e-108.530e-81.679e-7
30895144299011097480095288472271.9087169261646261073
293 × 24468469782461
2014-07-31293244684697824612,235.313,74625,673
3089517753562126562147067190419212789.3251254820687837577328960
26 × 32 × 5 × 490207 × 888811517831
2021-10-24490207888811517831611,332,400499.32932.58

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3089511676053576517466071857.218
3089515501862002885195411106269466413098.796
308951597814255047578496097167341174331102.238
3089519629792583240898897814770437406006335116.213
308951104634163423109384194527772601535844937119.655
30895174247515986118433474560306880870087212939129.126
30895112995385532974856500335371243480647130251204745146.543
308951343475134689577920035436305841477322153045179508749161.233
30895142659028851142009454670889050100470424392517577310
9137361
57188.121
30895146351899666558684855506570276193648220509317691223
10678303
58191.563
30895157568272794128545089657162336534924083662270529377
8785684011519809
66218.451
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:52:27Lisander ViaeneManual testing5000050000-
skipped known factor: 124198303
skipped known factor: 1349497969
--0.001--0.401%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:16:00J FeitsmaManual testing??30.330102.18869e-100.0054.54806e-10


ECM factoring results:

Old Calculation Method

Total ECM effort:16.435 GHz-days
Estimated T-Level:27.688
DigitsB1CurvesCompleteFacMiss
2011000619 / 1006.1900.199%
2550000619 / 2802.21110.919%
30250000344 / 6400.53858.396%

New Calculation Method

Total ECM effort:16.435 GHz-days
Estimated T-Level:27.688
DigitsB1CompleteFacMiss
201100037.5380.000%
25500005.0370.650%
302500000.50860.148%
3510000000.04096.055%
4030000000.00399.737%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002752.100
250000250000001445.497
25000036750000281.237
250000367500001727.600


Lucas-Lehmer results:
No L-L results for M308951


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T16:13:56Oliver KruseOllaptop
124198303
1349497969
4429901109748009528847
F093470FB2B8A2BDno
2017-09-22T20:37:35Oliver KruseManual testing
124198303
1349497969
4429901109748009528847
F093470FB2B8A2BDno
2017-09-24T17:45:43Oliver KruseManual testing
124198303
1349497969
4429901109748009528847
F093470FB2B8A2BDno
2017-11-07T00:13:33kkmrkkblmbrbkc4.xlarge
124198303
1349497969
4429901109748009528847
F093470FB2B8A2__no
2020-04-18T15:02:52Oliver KruseAddPrpType5
124198303
1349497969
4429901109748009528847
3FDEC64E8C7860__no
2021-10-24T07:47:06SRJ2877LTOS
124198303
1349497969
4429901109748009528847
775356212656214706719041921
3FDEC64E8C786058no


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-02-06T16:52:27+00:00