is 2 2109421 - 1
has 634999 decimal digits
takes 0.139 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAC732D9824A26206double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.086367.1642%14000030100000.02833.1004%14.114568.1822%1.0180%
PrimeNet2580.018262.0690%90001600000.00162.6800%0.019863.0855%1.0166%
GPU722620.291264.5161%100001400000.00161.4526%0.292965.0316%0.5154%
Difference+5+13.7950+2.6481%+130000+2870000+0.0266+1.6478%+13.8217+3.1506%+3.1506%

Known prime factors (1 factor, 81.8 bits, 0.00387670% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
210942141402041873936705509066792581.776981360332383547559
3 × 59 × 39694981 × 139675307
2016-05-2939694981139675307285,3824.30377.7019

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.277%
2009-08-02T05:46:00harleeP4_260020000260000---0.003--1.021%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.415%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.596%
2011-01-25T12:51:00James HeinrichQ66001400003010000---0.028--3.100%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T07:35:00Sturle Sundeghia.ifi260261--0.073--
2012-03-30T07:48:00Sebastian HornbostelManual testing261262--0.146--
2013-09-05T08:28:00ramgeisManual testing262263--0.465--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.931--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.771--
2015-12-27T16:49:18ramgeisManual testing265266--3.543--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.043 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:2.043 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110000.77446.108%
25500000.07093.242%
302500000.00499.570%


ECM Summary

B1B2factorcurvesGHz-days
500005000000211.788
50000500000030.255


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computersAC732D9824A262060.139


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T03:31:59Oliver KruseGTX-0
4140204187393670550906679
921CB04EF80FBB__no
2017-11-17T09:53:16kkmrkkblmbrbkc4.xlarge
4140204187393670550906679
921CB04EF80FBB__no


P-1 factor-bounds graph:
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2017-11-17T09:53:16+00:00