is 2 210421 - 1
has 63344 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP1EC9FFDFAB273B__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267141.211773.1343%10000000020000000001.360712.3759%142.572576.4592%3.3249%
PrimeNet2400.000055.0000%2200550000.000012.9800%0.000060.8410%5.8410%
GPU722440.000059.0909%4000900000.00019.3220%0.000162.9045%3.8135%
Difference+23+141.2117+14.0434%+99996000+1999910000+1.3607+3.0539%+142.5724+13.5548%+13.5548%

Known prime factors (1 factor, 101.7 bits, 0.04835538% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
210421426348602904019403785664670312731101.75010130847275319939639714303
32 × 89 × 13664960957 × 925560595979
2021-05-28136649609579255605959798.124e+11423.55629.72

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.004--2.642%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.505%
2002-07-27T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.172%
2003-02-16T00:00:00ANONYMOUSv4_computers13107213107200---0.006--2.967%
2003-10-14T00:00:00ANONYMOUSv4_computers26214426214400---0.011--3.878%
2009-03-15T14:59:00axnManual testing5000000200000000---0.104--7.752%
2016-02-25T13:48:58Jocelyn LaroucheManual testing1140480020528640012---0.147--8.216%
2016-03-28T22:28:11Jocelyn LaroucheManual testing1368576013685760---0.092--4.668%
2016-04-07T12:34:02Jocelyn LaroucheManual testing2280960041057280012---0.294--9.455%
2016-07-12T20:29:01Jocelyn LaroucheManual testing2280960082114560012---0.443--10.428%
2019-03-30T03:46:23Alexhome100000000200000000012---1.361--12.376%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-27T06:39:03fbaurubuntu1500000001440000000027--6.612
2021-11-28T19:28:19fbaurubuntu1500000001425000000065--6.558


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:09:17LordJuliusManual testing254255--0.011--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.046--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.046--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.091--
2016-02-23T16:27:59Mark RoseManual testing257258--0.091--
2009-01-01T09:19:00Sturle Sundeantonov.ifi258259--0.182--
2009-01-28T05:01:00Sturle Sundeghia.ifi259260--0.365--
2013-07-29T10:43:00lycornasteroid260261--0.730--
2015-06-14T12:01:00snme2pm1Manual testing261262--1.460--
2016-01-17T11:29:37Gordon SpenceManual testing262263--4.665--
2016-01-17T11:29:37Gordon SpenceManual testing263264--9.330--
2018-02-26T17:30:04Gordon SpenceManual testing264265--17.76--
2019-12-16T13:15:08Gordon SpenceManual testing265266--35.51--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.660 GHz-days
Estimated T-Level:29.734
DigitsB1CurvesCompleteFacMiss
2011000885 / 1008.8500.014%
2550000885 / 2803.1614.216%
30250000606 / 6400.94738.766%
35100000019 / 15800.01298.804%

New Calculation Method

Total ECM effort:17.660 GHz-days
Estimated T-Level:29.734
DigitsB1CompleteFacMiss
201100060.6310.000%
25500008.4290.022%
302500000.89840.744%
3510000000.07692.668%
4030000000.00599.464%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002791.364
2500002500000058714.34
100000010000000070.684
100000010000000050.489
100000014159279170.778


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-25T00:00:00ANONYMOUSv4_computers1A952408D12EDD__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-28T18:42:39mnd9f4
4263486029040194037856646703127
1EC9FFDFAB273B__no
2021-05-29T09:23:07RichD0Linux-0
4263486029040194037856646703127
1EC9FFDFAB273B28no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 22809600, B2 = 821145600 (P-1 stage 2)
B1 = 22809600, B2 = 410572800 (P-1 stage 2)
B1 = 22809600 (P-1 stage 1)
B1 = 11404800, B2 = 205286400 (P-1 stage 2)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 13685760 (P-1 stage 1)
B1 = 11404800 (P-1 stage 1)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
109
1010
1011
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
2110
Last modified: 2022-03-07T05:09:17+00:00