is 2 53000141 - 1
has 15954633 decimal digits
takes 101.535 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF7DBAEBC73018916double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual276288.753865.7895%16000004000000010.25614.4376%299.009967.3076%
Target27336.091364.3836%360000120000002.76173.9116%38.853065.7767%
Difference+3+252.6625+1.4059%+1240000+28000000+7.4945+0.5260%+260.1570+1.5309%

Known prime factors:
No known factors for M53000141

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-12-31timbitminty162500018125000---4.385--3.402%
2018-12-28mikrS0631600000400000006---10.26--4.438%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-01ANONYMOUSv4_computers21253--2.26400e-5--
2000-01-12ANONYMOUSv4_computers21253--2.26400e-5--
2000-02-23ANONYMOUSv4_computers21254--4.52800e-5--
2000-04-05ANONYMOUSv4_computers21256--0.000--
2001-07-17ANONYMOUSv4_computers21257--0.000--
2002-06-09ANONYMOUSv4_computers21258--0.001--
2004-04-091997rj7v4_computers21260--0.003--
2007-07-241997rj7v4_computers21263--0.030--
2008-07-14ANONYMOUSManual testing21264--0.067--
2008-12-16KYOJI_KAMEI2264265--0.070--
2009-02-19arnaudSRV-410265266--0.141--
2009-02-20SDSA266267--0.282--
2009-04-26Tonzetin1Primemaster7267268--0.564--
2010-05-07Martin Prusastrizna268269--1.128--
2011-04-19kdgehmanManual testing269270--2.256--
2015-05-10Mark RoseManual testing270271--4.512--
2015-12-18ANONYMOUSManual testing271272--9.024--
2015-12-21GregManual testing272273--18.05--
2019-06-11dcheukManual testing273274--36.09--
2021-03-17mikrManual testing274276--216.6--


ECM factoring results:
No ECM results for M53000141


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2011-04-07unconnectedX3220-1F7DBAEBC73018916101.5
2019-12-02-Anonymous-v4_computersF7DBAEBC73018916101.5
2019-12-27J Moseleyv4_computersF7DBAEBC73018916101.5


PRP results:
No PRP results for M53000141


P-1 factor-bounds graph:
B1 = 1600000, B2 = 40000000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 625000, B2 = 18125000 (P-1 stage 2)
B1 = 625000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
TF factor-bounds graph:
276
274
273
272
271
270
269
268
267
266
265
264
263
260
258
257
256
254
253
this exponent TF target: 73
TF double-checked to: 67.8
250
260
270
280
Last modified: 2023-04-26T21:34:10+00:00