is 21153223-1
has 347,155 decimal digits
takes 0.034 GHz-days to do one L-L test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-LF3919D112FB8E0F4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26612.806268.1818%5,000,000100,000,0000.43738.8635%13.243677.0453%14.5453%
PrimeNet2560.008362.5000%5,00080,0000.00042.2514%0.008764.7514%2.2514%
GPU722600.133265.0000%5,00026,0000.00030.7713%0.133465.7713%0.7713%
Difference+6+12.6730+3.1818%+4,995,000+99,974,000+0.4371+8.0921%+13.1101+11.2740%+11.2740%

Known prime factors (3 factors, 301.0 bits, 0.02610297% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
11532239067061221698713097979144792789.551393118296361532552593
43237 × 150221 × 60525314609
150,2216.05253e+102019-07-08109,020,152141.72264.69
115322322846884708542047903227742312890.884990566642728338227005
5 × 3929 × 18787 × 119033 × 22547939
119,03322,547,9392015-11-21249,666,2670.05760.0986
1153223200163214704108303774243443949479500937120.591867842623257203089837106283648
27 × 3 × 13 × 47 × 431 × 5303 × 324763 × 637513 × 7816531
637,5137,816,5312015-11-211.444e+110.04420.0558

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
115322320715410237744290758515838780566818733611390213629
90649
55180.435
115322318148921220541740503829028896285101285349991368466
43163818035311
64210.141
115322345731058892359108011092675282780735694677235590317
41597532613079
64211.475
115322341464631071012937128607578394387108258201419275191
09972333250042030023633178113061438870841
91301.025
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-16T00:00:00Jocelyn Larouchev4_computers1,0001,000---4.29764e-5--0.007%
2002-03-24T00:00:00Jocelyn Larouchev4_computers4,0004,000---0.000--0.061%
2002-06-02T00:00:00ANONYMOUSv4_computers50,0001,000,000---0.004--1.987%
2002-07-14T00:00:00Thomas Mullenv4_computers15,000221,250---0.001--0.908%
2012-02-02T16:03:00markrtiny500,00010,000,000---0.044--4.886%
2015-11-21T14:19:40SergiosiManual testing5,000,000100,000,0001264211.4750.4370.0680.8758.863%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-07-14T00:00:00Thomas Mullenv4_computers?256--0.008--
2001-11-14T00:00:00ANONYMOUSv4_computers?257--0.017--
2003-05-04T00:00:00ANONYMOUSv4_computers?258--0.033--
2009-02-16T03:17:00Sturle Sundekrebs.ifi260261--0.133--
2011-05-09T14:44:00XyzzyManual testing261262--0.266--
2012-10-07T08:33:00dbaughManual testing262263--0.851--
2014-12-28T15:46:00Matthias WurtingerManual testing263264--1.702--
2015-01-10T10:22:00lycornManual testing264265--3.240--
2015-08-10T20:01:00omylistManual testing265266--6.480--


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
50,0005,000,0002819.96
1,000,000100,000,000150106.3
1,000,000100,000,00032.126


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-07-14T00:00:00ANONYMOUSv4_computersF3919D112FB8E0F40.034


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T07:32:35Oliver KruseGTX-2
2284688470854204790322774231
2001632147041083037742434439494795009
530332A45857B876no
2017-10-05T21:28:08Oliver KruseManual testing
2284688470854204790322774231
2001632147041083037742434439494795009
530332A45857B8__no
2017-10-17T06:53:19Oliver KruseThreadripper
2284688470854204790322774231
2001632147041083037742434439494795009
530332A45857B8__no
2018-01-03T01:20:50ATHec2-1xf
2284688470854204790322774231
2001632147041083037742434439494795009
530332A45857B8__no
2019-07-08T17:44:23SRJ2877Manual testing
906706122169871309797914479
2284688470854204790322774231
2001632147041083037742434439494795009
0C6F596C3DAF7E__no
2019-07-10T15:04:12arnaudstm-11-010
906706122169871309797914479
2284688470854204790322774231
2001632147041083037742434439494795009
0C6F596C3DAF7E1Bno


P-1 factor-bounds graph:
B1 = 5,000,000, B2 = 100,000,000 (stage 2)
B1 = 5,000,000 (stage 1)
B1 = 500,000, B2 = 10,000,000 (stage 2)
B1 = 500,000 (stage 1)
B1 = 50,000, B2 = 1,000,000 (stage 2)
B1 = 50,000 (stage 1)
B1 = 15,000, B2 = 221,250 (stage 2)
B1 = 15,000 (stage 1)
B1 = 4,000 (stage 1)
B1 = 1,000 (stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
266
265
264
263
262
261
258
257
256
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2019-07-22T21:05:07+00:00