is 2 2252983 - 1
has 678216 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-LEF354455A33B545Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.456067.6471%58905058905000.08373.9637%26.539768.9294%1.2824%
PrimeNet2580.017062.0690%100001900000.00192.9169%0.018963.1754%1.1064%
GPU722620.272764.5161%120001900000.00211.7052%0.274865.1212%0.6051%
Difference+6+26.1833+3.1309%+577050+5700500+0.0816+2.2585%+26.2649+3.8082%+3.8082%

Known prime factors (1 factor, 78.0 bits, 0.00346069% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22529832957593745058203493845512477.96965637284991901925
52 × 17 × 107 × 1443370752983
2020-06-21107144337075298323,3047,497.214,003

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%
2010-11-14T20:17:00Jocelyn LaroucheManual testing2000020000---0.002--0.257%
2010-11-23T01:25:00Oscar Östlin7501175011---0.007--0.676%
2011-01-14T21:14:00Oscar Östlin850001636250---0.016--2.195%
2014-06-01T23:28:00Jocelyn LaroucheManual testing113489113489---0.011--0.869%
2014-10-03T21:04:00Jocelyn LaroucheManual testing141978141978---0.014--0.987%
2016-01-19T00:49:58Jocelyn LaroucheManual testing58905058905006---0.084--3.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-11T00:00:00DLv4_computers21258--0.017--
2016-02-23T16:29:10Mark RoseManual testing258260--0.051--
2009-01-11T10:58:00Sturle Sundegonsha.ifi260261--0.068--
2012-05-04T12:48:00Sebastian HornbostelManual testing261262--0.136--
2013-12-04T06:19:00LaurVManual testing262263--0.436--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.871--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.658--
2015-10-27T09:37:31ramgeisManual testing265266--3.317--
2017-01-05T21:20:49Gordon SpenceManual testing266267--6.634--
2019-05-20T13:24:27TJAOIManual testing267268--13.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.269 GHz-days
Estimated T-Level:3.650
DigitsB1CurvesCompleteFacMiss
201100073 / 1000.73048.014%
255000073 / 2800.26177.014%

New Calculation Method

Total ECM effort:6.269 GHz-days
Estimated T-Level:3.650
DigitsB1CompleteFacMiss
20110002.3559.491%
25500000.21380.830%
302500000.01398.698%


ECM Summary

B1B2factorcurvesGHz-days
500005000000726.183
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-11T00:00:00DLv4_computersEF354455A33B545C0.148
1999-03-26T00:00:00twmossv4_computersEF354455A33B545C0.148
2018-04-23T06:33:54kkmrkkblmbrbkoldEF354455A33B545C0.148


PRP results:
dateuseridcompidcofactorsres64PRP
2020-06-21T11:52:41CrypticClueManual testing
295759374505820349384551
C5D4AE61C5E21E06no
2020-06-22T22:52:00Luigi Morelli9800X
295759374505820349384551
C5D4AE61C5E21E06no


P-1 factor-bounds graph:
B1 = 589050, B2 = 5890500 (P-1 stage 2)
B1 = 589050 (P-1 stage 1)
B1 = 85000, B2 = 1636250 (P-1 stage 2)
B1 = 141978 (P-1 stage 1)
B1 = 113489 (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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-06-22T22:52:00+00:00