is 2 2797441 - 1
has 842114 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA985833D5711DF09double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.621867.1642%20000036000000.04313.5504%10.665068.3300%1.1658%
PrimeNet2590.027562.7119%120002400000.00272.9266%0.030263.8032%1.0913%
GPU722630.570565.0794%150002600000.00321.7894%0.573765.7042%0.6249%
Difference+4+10.0513+2.0848%+185000+3340000+0.0400+1.7610%+10.0913+2.6257%+2.6257%

Known prime factors (1 factor, 75.5 bits, 0.00269717% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2797441516743049395536518222492375.4529235995493658964
22 × 3 × 2543 × 302660751529
2017-02-1025433026607515294,667.91,846.73,449.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.300%
2010-11-12T11:43:00Jocelyn LaroucheManual testing1500015000---0.002--0.253%
2010-11-23T18:21:00markrtiny1000002075000---0.023--2.796%
2014-11-06T23:05:00Jocelyn LaroucheManual testing122944122944---0.014--1.086%
2016-05-08T19:01:28Jocelyn LaroucheManual testing20000036000006---0.043--3.550%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-14T17:27:00Sturle Sundegaudi.ifi260261--0.055--
2012-02-28T15:53:00markroldgamer261262--0.110--
2013-01-10T10:21:00dbaughManual testing262263--0.351--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.702--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.336--
2016-02-10T11:15:45ramgeisManual testing265266--2.671--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.083 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:2.083 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.64552.458%
25500000.05894.336%
302500000.00499.642%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.875
50000500000020.208


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computersA985833D5711DF090.216


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-21T13:51:03Oliver KruseGTX-1
51674304939553651822249
B0A0E372DF09FB__no
2017-12-06T14:26:05kkmrkkblmbrbkc4.xlarge
51674304939553651822249
B0A0E372DF09FB__no


P-1 factor-bounds graph:
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 122944 (P-1 stage 1)
B1 = 100000 (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
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2017-12-06T14:26:05+00:00