is 2 3126437 - 1
has 941152 decimal digits
takes 0.266 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1185402F5846B0D3double-checked
PRP69ADEE78903FAE51verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.064867.6471%182000054600000.24914.3848%19.313969.0657%1.4186%
PrimeNet2600.049163.3333%130002400000.00312.6463%0.052364.3036%0.9703%
GPU722641.138565.6250%150002400000.00341.5420%1.141866.1551%0.5301%
Difference+4+17.9263+2.0221%+1805000+5220000+0.2457+2.8429%+18.1721+2.9106%+2.9106%

Known prime factors (1 factor, 73.1 bits, 0.00233746% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
312643799769358481006896163192273.0791595576026016307
32 × 1584127 × 111914149
2021-01-231584127111914149615.400.93731.4054

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.251%
2009-07-03T00:48:00Carsten Kossendeyleela15000180000---0.003--0.764%
2011-08-29T20:41:00Squeeky_SquirrelT7500_22001050002152500---0.027--2.573%
2016-10-01T05:47:37Squeeky_Squirreli5-5250U_1600195000546000012---0.059--3.525%
2018-07-15T03:26:04Jocelyn Larouchelow 4M182000054600006---0.249--4.385%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-29T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-14T04:49:00S485122USB-A260261--0.049--
2011-11-15T19:28:00markroldgamer261262--0.098--
2013-01-07T13:56:00dbaughManual testing262263--0.314--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.628--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.195--
2015-06-14T13:51:00ThaManual testing265266--2.390--
2017-04-16T02:34:53Gordon SpenceManual testing266267--4.780--
2019-01-14T11:03:53TJAOIManual testing267268--9.56--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.338 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:4.338 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.17730.824%
25500000.10789.880%
302500000.00799.344%


ECM Summary

B1B2factorcurvesGHz-days
500005000000293.392
50000675000070.946


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-09T00:00:00ANONYMOUSv4_computers1185402F5846B0D30.266
1999-06-26T00:00:00ANONYMOUSv4_computers1185402F5846B0D30.266


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-24T00:11:35mrhlanai
9976935848100689616319
69ADEE78903FAE51no


P-1 factor-bounds graph:
B1 = 1820000, B2 = 5460000 (P-1 stage 2)
B1 = 1820000 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 105000, B2 = 2152500 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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104
105
106
107
102
103
104
105
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2021-01-24T00:11:35+00:00