is 2 2117321 - 1
has 637378 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-LB78C9D97BF341F86double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.033767.1642%18634060200000.04813.7705%14.081868.4022%1.2381%
PrimeNet2580.018162.0690%90001600000.00162.6819%0.019863.0862%1.0173%
GPU722620.290264.5161%100001400000.00161.4537%0.291865.0320%0.5158%
Difference+5+13.7436+2.6481%+176340+5880000+0.0464+2.3167%+13.7900+3.3703%+3.3703%

Known prime factors (1 factor, 90.9 bits, 0.00429137% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
211732122501754417221120879494939192890.862531373240458605966679
32 × 1185577 × 49799777797703
2016-08-23118557749799777797703190,171,942258,673483,128

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.277%
2009-08-02T16:47:00harleeP4_260020000260000---0.003--1.022%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.415%
2011-01-10T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.597%
2011-01-25T05:00:00James Heinrichi7-9201400003010000---0.028--3.102%
2016-07-23T03:38:17Jocelyn LaroucheManual testing186340602000012---0.048--3.770%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00MadPoov4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.054--
2009-01-02T17:39:00Sturle Sundeginglo.ifi260261--0.073--
2012-04-01T23:48:00Sebastian HornbostelManual testing261262--0.145--
2013-09-06T08:31:00ramgeisManual testing262263--0.464--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.927--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.765--
2016-01-06T22:34:24ramgeisManual testing265266--3.529--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.300 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:2.300 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110000.87141.855%
25500000.07992.430%
302500000.00599.516%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.044
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00MadPoov4_computersB78C9D97BF341F860.139
1999-02-14T00:00:00MadPoov4_computersB78C9D97BF341F860.139
1999-04-02T00:00:00MadPoov4_computersB78C9D97BF341F860.139


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T04:54:36Oliver KruseGTX-0
2250175441722112087949493919
AEDA2CFAEFC45B__no
2017-11-17T15:23:48kkmrkkblmbrbkc4.xlarge
2250175441722112087949493919
AEDA2CFAEFC45B__no


P-1 factor-bounds graph:
B1 = 186340, B2 = 6020000 (P-1 stage 2)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 186340 (P-1 stage 1)
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
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104
105
106
107
102
103
104
105
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108
109
1010
1011
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1013
1014
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2017-11-17T15:23:48+00:00