is 2 2247379 - 1
has 676529 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L706FD7C8FE35E6EBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.522067.6471%1000000100000000.14214.6762%26.664069.1600%1.5129%
PrimeNet2580.017162.0690%100001800000.00182.8743%0.018963.1592%1.0903%
GPU722620.273464.5161%110001900000.00201.6596%0.275365.1050%0.5889%
Difference+6+26.2486+3.1309%+989000+9810000+0.1401+3.0166%+26.3887+4.0549%+4.0549%

Known prime factors (1 factor, 97.9 bits, 0.00435614% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22473792954692714743490666634677650013097.89965736413723352640267500
22 × 3 × 54 × 19 × 21521939 × 21434321809
2020-02-2021521939214343218092.226e+10113.28207.94

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-03T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.228%
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-11T11:53:00Jocelyn LaroucheManual testing3000030000---0.003--0.357%
2011-01-06T15:27:00markrtiny1000002075000---0.020--2.403%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128560128560---0.012--0.933%
2015-12-05T15:02:10Alexander DubrovinManual testing10000001000000012---0.142--4.676%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.051--
2009-01-11T08:41:00Sturle Sundecelair.ifi260261--0.068--
2012-05-03T19:48:00Sebastian HornbostelManual testing261262--0.137--
2013-01-23T08:24:00dbaughManual testing262263--0.437--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.874--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.663--
2015-10-27T09:37:30ramgeisManual testing265266--3.325--
2017-01-08T17:23:37ConductorManual testing266267--6.650--
2019-04-01T13:34:46TJAOIManual testing267268--13.30--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.606 GHz-days
Estimated T-Level:2.100
DigitsB1CurvesCompleteFacMiss
201100042 / 1000.42065.566%
255000042 / 2800.15086.048%

New Calculation Method

Total ECM effort:3.606 GHz-days
Estimated T-Level:2.100
DigitsB1CompleteFacMiss
20110001.35525.799%
25500000.12288.475%
302500000.00899.249%


ECM Summary

B1B2factorcurvesGHz-days
500005000000393.348
50000500000030.258


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers706FD7C8FE35E6EB0.148
2018-04-22T16:56:50kkmrkkblmbrbkold706FD7C8FE35E6EB0.148


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-20T15:35:05Christoph ZengerManual testing
295469271474349066663467765001
979E78073D6B95B5no
2020-02-21T02:30:16Niels_Mache_NextcloudSuperDry-X
295469271474349066663467765001
979E78073D6B95B5no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 128560 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (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
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-02-21T02:30:16+00:00