is 2 2184709 - 1
has 657663 decimal digits
takes 0.144 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L96C0F9E8F775E4DEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.600967.1642%44297144297100.06293.9745%13.663868.4692%1.3050%
PrimeNet2580.017662.0690%100001800000.00182.8594%0.019463.1536%1.0846%
GPU722620.281264.5161%110001600000.00181.5694%0.283065.0730%0.5569%
Difference+5+13.3196+2.6481%+431971+4269710+0.0611+2.4051%+13.3808+3.3962%+3.3962%

Known prime factors (1 factor, 83.2 bits, 0.00380805% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2184709110700636812372191901428572683.1952533532768262779892
22 × 3 × 7 × 397 × 75972555123629
2017-11-03397759725551236291,597,679394,620737,041

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.280%
2010-11-06T00:22:00ANONYMOUSManual testing1500015000---0.001--0.238%
2010-11-08T11:37:00Jocelyn LaroucheManual testing3000030000---0.003--0.418%
2011-01-13T12:15:00markrtiny900001620000---0.017--2.488%
2014-06-26T21:21:00ANONYMOUSManual testing119379119379---0.011--1.022%
2014-10-10T20:28:00Jocelyn LaroucheManual testing148758148758---0.014--1.153%
2016-01-04T02:12:24Jocelyn LaroucheManual testing44297144297106---0.063--3.974%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:08Mark RoseManual testing258260--0.053--
2009-01-03T01:31:00Sturle Sundegoober.ifi260261--0.070--
2009-01-08T11:31:00Sturle Sundecorbusier.ifi261262--0.141--
2013-09-15T16:12:00BloodIceManual testing262263--0.449--
2015-03-25T10:10:00VictordeHollanderManual testing263264--0.899--
2015-03-25T10:10:00VictordeHollanderManual testing264265--1.710--
2016-02-08T11:13:48ramgeisManual testing265266--3.420--
2016-11-24T19:46:06Gordon SpenceManual testing266267--6.841--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.651 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.651 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09091.358%
302500000.00699.445%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.566
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers96C0F9E8F775E4DE0.144


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-03T22:24:58Oliver KruseGTX-3
11070063681237219190142857
8FC44F5E53C8B9__no
2017-11-19T09:08:26kkmrkkblmbrbkc4.xlarge
11070063681237219190142857
8FC44F5E53C8B9__no


P-1 factor-bounds graph:
B1 = 442971, B2 = 4429710 (P-1 stage 2)
B1 = 442971 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148758 (P-1 stage 1)
B1 = 119379 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (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: 2017-11-19T09:08:26+00:00