is 2 28163 - 1
has 8478 decimal digits
takes 0.000 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
Actualunknown500000000100000000000.812850.1392%0.812850.1392%50.1392%
PrimeNet2400.000062.5000%500100000.00004.0378%0.000064.0142%1.5142%
GPU722440.000165.9091%500100000.00001.7262%0.000166.4976%0.5885%
Difference-44-0.0001-65.9091%+499999500+9999990000+0.8128+48.4130%+0.8127-16.3584%-16.3584%

Known prime factors (4 factors, 281.6 bits, 0.99989975% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
281638843183723.076157
157
-11574.103e-117.587e-91.287e-8
281634407789105131651287692168.5797825496405091168
25 × 3 × 81515587553033
2008-08-2932815155875530332,910.43,547.26,625.2
28163191400909546032095615612374.019339809163700657060
22 × 5 × 167 × 3907 × 26040253537
2010-04-18390726040253537170,5461.13322.1164
281637903233218191636954702748225744397735115.9281403123463088384929642216423276
22 × 3 × 11 × 613 × 182549 × 94990904497679416739
2018-03-06182549949909044976794167394.754e+124.134e+97.720e+9

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2816338978885682085431429228317272891.655
281631692593269482008745402336886633097.095
2816369889737640147574659999113163183020085879142139.004
28163843654843809288943241576364646914259764840943142.598
281637460594172641959224961873001047393184410025044584750165.674
2816334835785274459656001143463881269843701948171266008
474313
56184.507
2816315126860263162936455961788745123302630828145458946
90168097
58189.947
2816330805922413075196413515986035595950023772513502065
4617900658279
63207.583
2816313376959352257800589744153888046572272879473184408
643884782532751
65213.023
2816366676009862818494782747777583775129683513368680475
4680436507374694855260682593
78258.526
2816358962815692670884514838384001662130264004080218791
30909206554595276174228728874813519
85281.602
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-28T07:28:37kkmrkkblmbrbkManual testing5000000001000000000012-
skipped known factor: 8843183
--0.813--42.812%


Trial Factoring results:
No TF results for M28163


ECM factoring results:

Old Calculation Method

Total ECM effort:19.206 GHz-days
Estimated T-Level:31.617
DigitsB1CurvesCompleteFacMiss
20110001280 / 10012.8000.000%
25500001280 / 2804.5711.026%
302500001119 / 6401.74817.381%
351000000511 / 15800.32372.360%
403000000500 / 47000.10689.907%

New Calculation Method

Total ECM effort:19.206 GHz-days
Estimated T-Level:31.617
DigitsB1CompleteFacMiss
2011000157.4320.000%
255000031.9180.000%
302500005.4980.409%
3510000000.79745.082%
4030000000.09890.623%
45110000000.01198.945%
50440000000.00199.899%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000001610.093
250000250000006081.747
1000000100000000110.126
300000030000000044015.17
3000000300000000602.069


Lucas-Lehmer results:
No L-L results for M28163


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:37:58Oliver KruseOliver-PC
8843183
440778910513165128769
19140090954603209561561
71945A3D11E85AEAno
2017-09-21T20:27:17Oliver KruseManual testing
8843183
440778910513165128769
19140090954603209561561
71945A3D11E85AEAno
2017-10-02T10:28:52kkmrkkblmbrbkManual testing
8843183
440778910513165128769
19140090954603209561561
71945A3D11E85A__no
2017-12-07T03:12:01ATHxps
8843183
440778910513165128769
19140090954603209561561
71945A3D11E85A__no
2018-03-06T01:11:09ATHec2-1xd
8843183
440778910513165128769
19140090954603209561561
79032332181916369547027482257443977
39D3A15EF45068__no
2018-03-07T19:46:50Oliver KruseGTX-0
8843183
440778910513165128769
19140090954603209561561
79032332181916369547027482257443977
39D3A15EF45068__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
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102
103
104
105
106
107
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109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
TF factor-bounds graph:
220
230
240
250
260
270
280
290
2100
2110
2120
Last modified: 2018-03-10T01:58:25+00:00