is 2 216157 - 1
has 65070 decimal digits
takes 0.001 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
Actual267137.464573.1343%30000000100708329922204,464.407323.2246%4,601.871879.3738%6.2395%
PrimeNet2400.000055.0000%2200550000.000013.0326%0.000060.8647%5.8647%
GPU722440.000059.0909%4000900000.00019.3625%0.000162.9210%3.8301%
Difference+23+137.4645+14.0434%+29996000+10070832902220+4,464.4072+13.8621%+4,601.8717+16.4527%+16.4527%

Known prime factors (5 factors, 301.6 bits, 0.13955033% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2161576484711722.62915
3 × 5
-352.593e-122.529e-84.968e-8
21615719014635264471340.7904398339
3 × 11 × 133283
2008-07-21111332836.922e-75.917e-50.0001
21615718828638287664580491960.7084355315416032
25 × 3 × 7 × 29 × 43 × 1823 × 2851
2014-07-28182328511.07231.529e-53.019e-5
216157300769845699426016539192374.67169572080871640987
3 × 19 × 37 × 643 × 51303552701
2016-02-126435130355270129,29722.74242.475
216157914125401447310461919518132937731102.85021144940979179727279697584
24 × 59 × 4636921 × 4830641256282841
2020-01-27463692148306412562828416.777e+112,141,3163,999,382

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
216157123304414460496518172063.419
216157122098277819039669413888392683.336
2161571950405526875370583137867324093097.300
216157358019689566576968384122752190331101.498
2161575719028914525506506123859639769579335115.461
2161572321654219148966899227173036478712503338124.126
2161575927839046144790072824580351360565504738125.479
2161575663086632511180760365837004757892994403141135.379
21615737086249711341611820832959968469828352082342138.090
2161571738176109450782508585123453754680385753351944143.640
21615736723480179798211499732707248960561037628721004148158.007
2161571721173653341758488368879492638613370707152180547350163.558
21615711271569736892693292029544496920967198979004352800
9
51166.269
21615710768152678829575727761083280891751130595194959828
7857
54176.169
21615727494135594323343144999213682022503197925886930187
8463
54177.521
21615711161313722735488028869044903588035149771747523869
0623303
57186.186
21615769828358126085616847145302123514828365833097303146
2847454327
60198.798
21615717829152352400012084915099595516182873512517616094
53589679193
61200.150
21615732727489245108864013780856330425979568250268753481
546924844431
62204.348
21615752279096023794048251260668500860600257938491778425
1695257380210961
66218.312
21615721222830951013914666766887063533298439200776853865
8075640554854994441
69226.977
21615751767713413751806470317303592396486578646051300847
1931866000122786098687
72238.229
21615733901482905555352642948082089488424395925657495896
32595004181285201117271
73240.940
21615733569866061900389068793779209595301287789841397716
81029762701522232364802674457
79260.858
21615798434418903810174715866211919842524865645226513140
5756752743306533390208052376475089
84279.019
21615763831875904414578189189949896493393926402312246725
43356277838800053447349449534304150864279
91301.648
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-01T20:37:40Dylan Delgadolaptop-i787508296000837896000-
skipped known factor: 6484711
skipped known factor: 1901463526447
skipped known factor: 1882863828766458049
--0.435--9.861%
2021-05-04T15:35:29Dylan Delgadolaptop-i78750150000001665000000-
skipped known factor: 6484711
skipped known factor: 1901463526447
skipped known factor: 1882863828766458049
--0.853--11.168%
2021-06-04T02:02:38Oliver KruseOllaptop300000003000000000-
skipped known factor: 6484711
skipped known factor: 1901463526447
skipped known factor: 1882863828766458049
--1.561--12.431%
2022-02-27T14:07:32Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 6484711
skipped known factor: 1901463526447
skipped known factor: 1882863828766458049
skipped known factor: 30076984569942601653919
--4,464--23.225%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-08T18:00:33Dylan Delgadolaptop-i7875015000000166500000027--0.902


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:14:00J FeitsmaManual testing??40.790131.45207e-80.0033.01457e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:11.232 GHz-days
Estimated T-Level:27.492
DigitsB1CurvesCompleteFacMiss
2011000593 / 1005.9300.258%
2550000593 / 2802.11811.983%
30250000319 / 6400.49860.724%

New Calculation Method

Total ECM effort:11.232 GHz-days
Estimated T-Level:27.492
DigitsB1CompleteFacMiss
201100035.4220.000%
25500004.6560.950%
302500000.46662.768%
3510000000.03796.377%
4030000000.00299.760%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002741.631
250000250000002838.422
25000025000000150.446
25000037764414140.487
2500003850000070.246


Lucas-Lehmer results:
No L-L results for M216157


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:34:49Oliver KruseDoppelherz
6484711
1901463526447
1882863828766458049
30076984569942601653919
B15A9799E692880Ano
2017-09-22T10:02:37Oliver KruseManual testing
6484711
1901463526447
1882863828766458049
30076984569942601653919
B15A9799E692880Ano
2017-09-30T15:33:49alpertronManual testing
6484711
1901463526447
1882863828766458049
30076984569942601653919
B15A9799E69288__no
2017-12-07T04:41:29ATHxps
6484711
1901463526447
1882863828766458049
30076984569942601653919
B15A9799E69288__no
2020-01-27T08:06:49ATHec2-PRPCF
6484711
1901463526447
1882863828766458049
30076984569942601653919
9141254014473104619195181329377
7A201EF133C014E3no
2020-01-27T19:35:10nordinordiputer
6484711
1901463526447
1882863828766458049
30076984569942601653919
9141254014473104619195181329377
7A201EF133C014E3no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 15000000, B2 = 1665000000 (P-1 stage 2)
B1 = 8296000, B2 = 837896000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 15000000 (P-1 stage 1)
B1 = 8296000 (P-1 stage 1)
100
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102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
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109
1010
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1015
1016
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
2110
Last modified: 2022-02-27T14:07:32+00:00