is 2 111269 - 1
has 33496 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2691,072.956575.3623%200000000010001747067312020,638.541327.7996%21,711.497782.2115%
Target2440.000061.3636%1600260000.00005.0997%0.000063.3340%
Difference+25+1,072.9565+13.9987%+1999998400+100017470647120+20,638.5412+22.6998%+21,711.4977+18.8775%

Known prime factors (9 factors, 445.0 bits, 0.39996100% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11126924094189271031.16610827
33 × 401
-274013.454e-91.794e-72.080e-7
111269217355089991134.33997671
3 × 7 × 4651
2008-07-26746512.347e-89.845e-71.793e-6
111269284225533611134.726127720
23 × 5 × 31 × 103
2008-07-26311033.384e-81.322e-72.389e-7
1112696792518472491239.3053052296
23 × 33 × 13 × 1087
2008-07-262710871.099e-63.209e-74.175e-7
1112698896499542731239.6943997744
24 × 249859
2008-07-26162498598.639e-75.160e-59.626e-5
1112698029829050210157271859.4783608295684427
7 × 347 × 911 × 1630633
2008-08-2691116306331.31870.00030.0006
11126934386043257334483371961.57715451762511272
23 × 19 × 61 × 1666497251
2009-01-256116664972513.04270.34380.6421
111269393547306853970198892065.093176844991351576
23 × 1328237 × 16642831
2012-02-2913282371664283178.0110.00820.0102
1112699507865027389432115717432479.6534272468085176209059
4272468085176209059
2012-05-05142724680851762090591,390,662881,315,2221.646e+9

502 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-22kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 2409418927
skipped known factor: 21735508999
skipped known factor: 28422553361
skipped known factor: 679251847249
skipped known factor: 889649954273
skipped known factor: 802982905021015727
skipped known factor: 3438604325733448337
skipped known factor: 39354730685397019889
--0.771--10.394%
2017-11-22ATHManual testing5000000005000000000012-
skipped known factor: 2409418927
skipped known factor: 21735508999
skipped known factor: 28422553361
skipped known factor: 679251847249
skipped known factor: 889649954273
skipped known factor: 802982905021015727
skipped known factor: 3438604325733448337
skipped known factor: 39354730685397019889
--12.10--15.800%
2021-04-15Seth_TrManual testing650000000130650000000-
skipped known factor: 2409418927
skipped known factor: 21735508999
skipped known factor: 28422553361
skipped known factor: 679251847249
skipped known factor: 889649954273
skipped known factor: 802982905021015727
skipped known factor: 3438604325733448337
skipped known factor: 39354730685397019889
--29.28--17.384%
2021-04-26Seth_TrManual testing1000000000211000000000-
skipped known factor: 2409418927
skipped known factor: 21735508999
skipped known factor: 28422553361
skipped known factor: 679251847249
skipped known factor: 889649954273
skipped known factor: 802982905021015727
skipped known factor: 3438604325733448337
skipped known factor: 39354730685397019889
--47.10--18.331%
2021-11-30Seth_TrManual testing10000000001166629193730-
skipped known factor: 2409418927
skipped known factor: 21735508999
skipped known factor: 28422553361
skipped known factor: 679251847249
skipped known factor: 889649954273
skipped known factor: 802982905021015727
skipped known factor: 3438604325733448337
skipped known factor: 39354730685397019889
--244.2--20.910%
2021-11-30Seth_TrManual testing100000000010085831085330-
skipped known factor: 2409418927
skipped known factor: 21735508999
skipped known factor: 28422553361
skipped known factor: 679251847249
skipped known factor: 889649954273
skipped known factor: 802982905021015727
skipped known factor: 3438604325733448337
skipped known factor: 39354730685397019889
--2,084--24.017%
2022-01-02LordJuliusWhiteBox_v308b62000000000100017470673120-
skipped known factor: 2409418927
skipped known factor: 21735508999
skipped known factor: 28422553361
skipped known factor: 679251847249
skipped known factor: 889649954273
skipped known factor: 802982905021015727
skipped known factor: 3438604325733448337
skipped known factor: 39354730685397019889
--20,639--27.800%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-15mikrNitron100000000020100000000016429--46.19
2021-10-20nordisweet167000000007000000000027--18.04
2021-10-21nordisweet167000000007000000000065--18.04


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-26J FeitsmaManual testing??34.339112.89833e-90.0016.11701e-9
2008-07-26J FeitsmaManual testing??34.726111.32673e-80.0012.80011e-8
2008-07-26J FeitsmaManual testing??39.305124.41081e-70.0019.28978e-7
2008-07-26J FeitsmaManual testing??39.694122.05724e-70.0014.33283e-7
2022-03-11LordJuliusManual testing2125734.339112.34672e-80.0014.95281e-8
2022-03-11LordJuliusManual testing2125731.166103.45429e-90.0017.29081e-9
2022-03-11LordJuliusManual testing2125734.726113.38362e-80.0017.14121e-8
2022-03-11LordJuliusManual testing2125739.305121.09928e-60.0012.31524e-6
2022-03-11LordJuliusManual testing2125739.694128.63926e-70.0011.81955e-6
2022-03-11LordJuliusManual testing257258--0.173--
2022-03-11LordJuliusManual testing258259--0.345--
2022-03-11LordJuliusManual testing25926059.478180.6280.0011.281
2022-03-11LordJuliusManual testing260261--1.380--
2022-03-11LordJuliusManual testing26126261.577190.2820.0010.575
2017-10-23Oliver KruseManual testing262263--8.822--
2017-10-29ATHManual testing263264--17.64--
2017-10-29ATHManual testing264265--33.58--
2022-03-07LordJuliusManual testing265266
skipped known factors(?)
--67.16--
2022-03-07LordJuliusManual testing26526665.0932012.440.00125.36
2017-10-29ATHManual testing266267--134.3--
2017-10-29ATHManual testing267268--268.6--
2018-02-11KrieselManual testing268269--537.3--


ECM factoring results:
Total ECM effort:1,258.010 GHz-days
Estimated T-Level:40.939
DigitsB1CompleteFacMiss
20110001,196.7360.000%
2550000320.6090.000%
3025000065.0990.000%
35100000010.8050.002%
4030000001.52021.864%
45110000000.18882.872%
50440000000.02197.949%
551100000000.00299.796%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
10.00000e+0
10.00000e+0
5000050000002810.768
25000025000000911.243
1000000100000000251.366
100000110000010027915.24
100000210000020028215.41
100000310000030028315.46
100000410000040028515.57
30000003000000002,325381.1
30000004560000001,000191.7
500000150000010016043.71
500000250000020016043.71
500000350000030016043.71
500000450000040016043.71
100000011000000100105.463
100000021000000200105.463
100000031000000300105.463
100000041000000400105.463
110000001100000000193116.0
11000000179300000010072.43
110000002023944324200153.1
11000000220000000010079.68
various462.3762


Lucas-Lehmer results:
No L-L results for M111269


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC5105D8A3701CD8__?
2017-09-21Oliver KruseManual testing5105D8A3701CD8__?
2017-10-09Chang Chia-Tchehomura5105D8A3701CD8__?
2017-10-13kkmrkkblmbrbkManual testing
2409418927
21735508999
28422553361
679251847249
889649954273
802982905021015727
3438604325733448337
39354730685397019889
950786502738943211571743
5105D8A3701CD8__no
2018-07-13Gabriel Lignelli6300
92931654532319876438832186923672422729542099694851
68810221258390129379238775963563401403781875510111
3436948191796372627855844302598713
1215BF72BD46CD__no
2018-07-13Gabriel Lignelli6300
950786502738943211571743
97741873979710938487033764107284665796924065785506
37473265739520455655249051366717777094038346368845
5655450791
1215BF72BD46CD__no
2018-07-13Gabriel Lignelli6300
37417946754601606104695034750869471921396527
24836118117809677294505260418103566528526202930142
20023255782117303084384090070203366756119
1215BF72BD46CD__no
2018-09-14ANONYMOUSdory
2409418927
21735508999
28422553361
679251847249
889649954273
802982905021015727
3438604325733448337
39354730685397019889
950786502738943211571743
1215BF72BD46CD__no
2022-03-11_p95holder_TFL3_PRPt20pE_h
2409418927
21735508999
28422553361
679251847249
889649954273
802982905021015727
3438604325733448337
39354730685397019889
950786502738943211571743
1215BF72BD46CD0Eno
2022-04-15LordJuliusWhiteBox
2409418927
21735508999
28422553361
679251847249
889649954273
802982905021015727
3438604325733448337
39354730685397019889
950786502738943211571743
1215BF72BD46CD0Eno


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 100017470673120 (P-1 stage 2)
B1 = 1000000000, B2 = 10085831085330 (P-1 stage 2)
B1 = 1000000000, B2 = 1166629193730 (P-1 stage 2)
B1 = 1000000000, B2 = 211000000000 (P-1 stage 2)
B1 = 650000000, B2 = 130650000000 (P-1 stage 2)
B1 = 500000000, B2 = 50000000000 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 1000000000 (P-1 stage 1)
B1 = 650000000 (P-1 stage 1)
B1 = 500000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
259
258
257
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=40.94 ~= 119-bit
250
260
270
280
290
2100
2110
2120
Last modified: 2023-03-23T17:39:31+00:00