is 2 2290177 - 1
has 689412 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF6F585EE33E778ABdouble-checked
PRP9127FCCCA2E14739verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.026367.6471%3000000900000000.75827.6813%26.784570.1322%2.4851%
PrimeNet2580.016862.0690%100001900000.00192.9257%0.018763.1787%1.1097%
GPU722620.268364.5161%120002000000.00221.7361%0.270465.1322%0.6160%
Difference+6+25.7581+3.1309%+2988000+89800000+0.7560+5.9452%+26.5141+5.0000%+5.0000%

Known prime factors (1 factor, 75.3 bits, 0.00328753% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2290177461996969384466564131292375.29010086490463061732
22 × 3 × 17 × 1012 × 4846934683
2021-02-161020148469346835,866.725.86848.313

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2010-11-07T03:25:00Jocelyn LaroucheManual testing1500015000---0.001--0.201%
2010-11-15T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.258%
2010-11-28T22:03:00Oscar Östlin7501175011---0.007--0.678%
2011-01-16T08:59:00Oscar Östlin850001742500---0.017--2.234%
2014-06-11T02:09:00Jocelyn LaroucheManual testing113026113026---0.011--0.869%
2014-10-03T21:04:00Jocelyn LaroucheManual testing141052141052---0.014--0.986%
2016-01-01T13:48:32Jocelyn LaroucheManual testing35982435982406---0.053--3.357%
2019-10-01T14:52:43BigBrotherWinston30000009000000012---0.758--7.681%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-11T19:23:00Sturle Sundehindemith.ifi260261--0.067--
2012-05-12T11:47:00Sebastian HornbostelManual testing261262--0.134--
2013-08-20T21:26:00David CampeauManual testing262263--0.429--
2015-03-12T10:50:00VictordeHollanderManual testing263264--0.857--
2015-03-12T10:50:00VictordeHollanderManual testing264265--1.631--
2015-11-02T09:33:40ramgeisManual testing265266--3.263--
2017-05-21T02:33:15Gordon SpenceManual testing266267--6.526--
2019-06-17T12:14:56TJAOIManual testing267268--13.05--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.293 GHz-days
Estimated T-Level:22.482
DigitsB1CurvesCompleteFacMiss
2011000139 / 1001.39024.734%
2550000139 / 2800.49660.816%

New Calculation Method

Total ECM effort:12.293 GHz-days
Estimated T-Level:22.482
DigitsB1CompleteFacMiss
20110004.4841.129%
25500000.40566.681%
302500000.02597.535%
3510000000.00199.886%


ECM Summary

B1B2factorcurvesGHz-days
50000500000013511.94
50000500000040.354


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computersF6F585EE33E778AB0.155
1999-07-30T00:00:00ANONYMOUSv4_computersF6F585EE33E778AB0.155
2018-04-29T00:40:58kkmrkkblmbrbkoldF6F585EE33E778AB0.155
2021-02-15T08:10:00Primelove1222F6F585EE33E778AB0.155
2021-02-15T09:24:47Primelove1222F6F585EE33E778AB0.155


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-16T18:33:41ViliamF3
46199696938446656413129
9127FCCCA2E14739no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 359824, B2 = 3598240 (P-1 stage 2)
B1 = 359824 (P-1 stage 1)
B1 = 85000, B2 = 1742500 (P-1 stage 2)
B1 = 141052 (P-1 stage 1)
B1 = 113026 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (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
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2021-02-17T02:21:56+00:00