is 2 2289961 - 1
has 689347 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-LC27D4DC81E26F7EAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.028867.6471%74392074392000.10864.2802%26.137469.0318%1.3848%
PrimeNet2580.016862.0690%100001900000.00192.9256%0.018763.1787%1.1097%
GPU722620.268364.5161%120002000000.00221.7360%0.270565.1321%0.6160%
Difference+6+25.7605+3.1309%+731920+7239200+0.1064+2.5442%+25.8669+3.8997%+3.8997%

Known prime factors (1 factor, 69.9 bits, 0.00305082% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
228996110732813064041500814872269.863234344887621263
33 × 8679440282269
2020-07-1727867944028226984.71746,32186,515

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-09T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2003-02-24T00:00:00ANONYMOUSv4_computers4096409600---0.003--0.469%
2016-10-07T05:48:05Jocelyn Larouchelow 4M1441791572864012---0.097--3.923%
2017-02-25T21:08:08Jocelyn Larouchelow 4M29896629896606---0.044--3.139%
2017-03-24T21:07:32Jocelyn Larouchelow 4M35875935875906---0.052--3.353%
2017-03-28T11:59:29Jocelyn Larouchelow 4M43051043051006---0.063--3.575%
2017-04-01T09:06:04Jocelyn Larouchelow 4M51661251661206---0.075--3.803%
2017-04-04T20:17:32Jocelyn Larouchelow 4M619934619934012---0.091--4.038%
2017-04-07T19:41:21Jocelyn Larouchelow 4M743920743920012---0.109--4.280%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers21259--0.034--
2016-02-23T16:29:11Mark RoseManual testing259260--0.034--
2009-01-11T14:48:00Sturle Sundehindemith.ifi260261--0.067--
2012-05-11T22:48:00Sebastian HornbostelManual testing261262--0.134--
2013-12-06T02:46:00Jerry HallettManual testing262263--0.429--
2015-03-12T10:50:00VictordeHollanderManual testing263264--0.857--
2015-03-12T10:50:00VictordeHollanderManual testing264265--1.632--
2015-11-02T09:33:40ramgeisManual testing265266--3.263--
2017-05-21T02:33:15Gordon SpenceManual testing266267--6.527--
2019-06-17T12:14:56TJAOIManual testing267268--13.05--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.075 GHz-days
Estimated T-Level:4.000
DigitsB1CurvesCompleteFacMiss
201100080 / 1000.80044.752%
255000080 / 2800.28675.109%

New Calculation Method

Total ECM effort:7.075 GHz-days
Estimated T-Level:4.000
DigitsB1CompleteFacMiss
20110002.5817.573%
25500000.23379.197%
302500000.01498.574%


ECM Summary

B1B2factorcurvesGHz-days
500005000000786.898
50000500000020.177


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersC27D4DC81E26F7EA0.155
1999-04-13T00:00:00ANONYMOUSv4_computersC27D4DC81E26F7EA0.155


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-18T21:06:34oodairacom1
1073281306404150081487
28805FC15942BAC9no
2020-07-20T12:03:08pewlaptop
1073281306404150081487
28805FC15942BAC9no


P-1 factor-bounds graph:
B1 = 743920, B2 = 7439200 (P-1 stage 2)
B1 = 144179, B2 = 15728640 (P-1 stage 2)
B1 = 619934, B2 = 6199340 (P-1 stage 2)
B1 = 516612, B2 = 5166120 (P-1 stage 2)
B1 = 743920 (P-1 stage 1)
B1 = 430510, B2 = 4305100 (P-1 stage 2)
B1 = 619934 (P-1 stage 1)
B1 = 358759, B2 = 3587590 (P-1 stage 2)
B1 = 516612 (P-1 stage 1)
B1 = 298966, B2 = 2989660 (P-1 stage 2)
B1 = 430510 (P-1 stage 1)
B1 = 358759 (P-1 stage 1)
B1 = 298966 (P-1 stage 1)
B1 = 144179 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-07-20T12:03:08+00:00