is 2 2145389 - 1
has 645827 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD38DB6AA6AF6DE19double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.782867.6471%25000001250000000.87467.9152%28.657470.2079%2.5608%
PrimeNet2580.017962.0690%90001700000.00172.7326%0.019663.1055%1.0365%
GPU722620.286464.5161%100001500000.00171.4883%0.288065.0442%0.5281%
Difference+6+27.4964+3.1309%+2490000+124850000+0.8730+6.4269%+28.3694+5.1636%+5.1636%

Known prime factors (1 factor, 81.6 bits, 0.00380457% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214538937233680625135113085202572581.623867760593186949152
25 × 3 × 373 × 21821 × 1110568139
2020-02-08218211110568139311,8745.770510.774

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-03T01:56:00Jocelyn LaroucheManual testing2000020000---0.002--0.254%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.353%
2011-01-13T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.512%
2011-01-21T14:55:00James Heinrichi7-9201300002632500---0.025--2.654%
2014-11-01T00:51:00Jocelyn LaroucheManual testing159917159917---0.015--1.044%
2016-06-06T01:26:59Jocelyn LaroucheManual testing17590852650006---0.043--3.265%
2016-11-13T02:06:37Jocelyn Larouchelow 4M211089211089---0.020--1.209%
2017-04-22T17:25:09Jocelyn Larouchelow 4M35181635181606---0.050--3.301%
2017-04-27T04:20:44Jocelyn Larouchelow 4M42217942217906---0.060--3.521%
2017-11-15T22:09:02mikrMSI250000012500000012---0.875--7.915%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.054--
2009-01-04T23:47:00Sturle Sundeghini.ifi260261--0.072--
2009-01-07T23:41:00Sturle Sundeantonov.ifi261262--0.143--
2013-09-07T11:35:00ramgeisManual testing262263--0.458--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.915--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.742--
2015-12-27T16:49:16ramgeisManual testing265266--3.483--
2016-10-29T15:24:11Gordon SpenceManual testing266267--6.966--
2019-04-15T13:43:11TJAOIManual testing267268--13.93--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.266 GHz-days
Estimated T-Level:2.500
DigitsB1CurvesCompleteFacMiss
201100050 / 1000.50060.501%
255000050 / 2800.17983.620%

New Calculation Method

Total ECM effort:4.266 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110001.92314.616%
25500000.17883.700%
302500000.01198.884%


ECM Summary

B1B2factorcurvesGHz-days
500005000000484.096
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computersD38DB6AA6AF6DE190.141
2018-04-08T11:11:05kkmrkkblmbrbkoldD38DB6AA6AF6DE190.141


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-09T08:16:39Jinyuan WangManual testing
3723368062513511308520257
456DEA59DAB2AF4Bno
2020-02-12T17:58:32Luigi Morelli9800X
3723368062513511308520257
456DEA59DAB2AF4Bno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 422179, B2 = 4221790 (P-1 stage 2)
B1 = 351816, B2 = 3518160 (P-1 stage 2)
B1 = 175908, B2 = 5265000 (P-1 stage 2)
B1 = 422179 (P-1 stage 1)
B1 = 351816 (P-1 stage 1)
B1 = 130000, B2 = 2632500 (P-1 stage 2)
B1 = 211089 (P-1 stage 1)
B1 = 175908 (P-1 stage 1)
B1 = 159917 (P-1 stage 1)
B1 = 130000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-02-12T17:58:32+00:00