is 2 2210581 - 1
has 665452 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L478A40829FF74A63double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.441767.1642%2000000650000000.51797.6495%13.959669.6760%2.5118%
PrimeNet2580.017462.0690%100001800000.00182.8656%0.019263.1559%1.0870%
GPU722620.277964.5161%110001700000.00191.6016%0.279865.0844%0.5683%
Difference+5+13.1638+2.6481%+1989000+64830000+0.5160+6.0480%+13.6798+4.5915%+4.5915%

Known prime factors (1 factor, 73.6 bits, 0.00333074% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2210581146022236256237007465932373.6293302802210284016
24 × 3 × 11 × 29 × 215700248843
2017-05-03292157002488431,063.11,120.42,092.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.281%
2010-11-06T00:22:00ANONYMOUSManual testing1500015000---0.001--0.239%
2010-11-10T11:27:00Jocelyn LaroucheManual testing3000030000---0.003--0.419%
2011-01-08T14:42:00markrtiny900001665000---0.017--2.510%
2014-06-24T22:45:00Jocelyn LaroucheManual testing119035119035---0.011--1.023%
2014-10-17T00:38:00Jocelyn LaroucheManual testing148070148070---0.014--1.152%
2015-11-12T05:08:10Alexander DubrovinManual testing60000025000006---0.067--3.550%
2015-11-12T05:08:11Alexander DubrovinManual testing120000055000006---0.137--4.541%
2015-11-13T05:07:50Alexander DubrovinManual testing1600000850000012---0.188--5.113%
2015-11-13T05:07:51Alexander DubrovinManual testing18000001100000012---0.219--5.452%
2015-11-13T19:53:09Alexander DubrovinManual testing18000003500000012---0.344--6.836%
2015-12-10T16:59:14Alexander DubrovinManual testing20000006500000012---0.518--7.650%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:08Mark RoseManual testing258260--0.052--
2009-01-02T23:05:00Sturle Sundeantonov.ifi260261--0.069--
2009-01-08T05:07:00Sturle Sundebruckner.ifi261262--0.139--
2013-12-04T10:24:00LaurVManual testing262263--0.444--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.888--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.690--
2015-10-22T10:17:21ramgeisManual testing265266--3.380--
2016-12-12T15:11:26Gordon SpenceManual testing266267--6.761--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.484 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:2.484 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110000.93539.240%
25500000.08591.893%
302500000.00599.481%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.313
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00cmortonv4_computers478A40829FF74A630.145


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:08:42alpertronManual testing
14602223625623700746593
B0C59A8676BC66__no
2017-10-25T22:53:35Oliver KruseGTX-2
14602223625623700746593
B0C59A8676BC66__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 1800000, B2 = 35000000 (P-1 stage 2)
B1 = 1800000, B2 = 11000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1600000, B2 = 8500000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 1600000 (P-1 stage 1)
B1 = 1200000, B2 = 5500000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 600000, B2 = 2500000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 90000, B2 = 1665000 (P-1 stage 2)
B1 = 148070 (P-1 stage 1)
B1 = 119035 (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: 2017-10-25T22:53:35+00:00