is 2 2211817 - 1
has 665824 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-LE9788C165394B5C7double-checked
PRP8D1D0D7B1EC1EAE8verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.948467.6471%1000000012100000007.186511.8283%34.134971.4739%3.8268%
PrimeNet2580.017462.0690%100001800000.00182.8659%0.019263.1560%1.0871%
GPU722620.277864.5161%110001700000.00191.6017%0.279665.0845%0.5684%
Difference+6+26.6706+3.1309%+9989000+1209830000+7.1846+10.2266%+33.8552+6.3894%+6.3894%

Known prime factors (1 factor, 86.6 bits, 0.00391386% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22118171146456792261123921805391592786.56725916628551573749587
3 × 13 × 664528937219839733
2021-06-021366452893721983973312,371,7363.452e+96.447e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-11-06T00:22:00ANONYMOUSManual testing1500015000---0.001--0.199%
2010-11-10T11:27:00Jocelyn LaroucheManual testing3000030000---0.003--0.355%
2011-01-08T09:55:00markrtiny900001665000---0.017--2.224%
2013-11-13T00:13:00c10ck3rManual testing50000010000000---0.097--4.348%
2015-11-13T05:07:50Alexander DubrovinManual testing1600000850000012---0.188--4.660%
2015-11-13T05:07:51Alexander DubrovinManual testing18000001100000012---0.219--4.977%
2015-11-13T19:53:09Alexander DubrovinManual testing18000003500000012---0.344--6.267%
2015-12-10T16:59:14Alexander DubrovinManual testing20000006500000012---0.518--7.031%
2020-01-06T18:22:23mikrMSI500000020000000012---1.490--8.961%
2021-04-15T21:36:04Dylan Delgadolaptop-ryzen73700100000001210000000---7.186--11.828%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-24T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:08Mark RoseManual testing258260--0.052--
2009-01-03T01:24:00Sturle Sundeaalto.ifi260261--0.069--
2009-01-06T13:50:00Sturle Sundehindemith.ifi261262--0.139--
2013-01-23T08:20:00dbaughManual testing262263--0.444--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.888--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.689--
2015-10-22T10:17:21ramgeisManual testing265266--3.379--
2016-12-12T15:11:27Gordon SpenceManual testing266267--6.757--
2019-04-29T13:20:32TJAOIManual testing267268--13.51--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.709 GHz-days
Estimated T-Level:22.857
DigitsB1CurvesCompleteFacMiss
2011000160 / 1001.60020.028%
2550000160 / 2800.57156.414%

New Calculation Method

Total ECM effort:13.709 GHz-days
Estimated T-Level:22.857
DigitsB1CompleteFacMiss
20110006.1540.213%
25500000.56956.584%
302500000.03696.472%
3510000000.00299.832%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015813.54
50000515000020.173


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-24T00:00:00ANONYMOUSv4_computersE9788C165394B5C70.145
1999-02-21T00:00:00ANONYMOUSv4_computersE9788C165394B5C70.145
2018-04-17T14:09:05kkmrkkblmbrbkoldE9788C165394B5C70.145


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-03T13:54:37LaurVtrabi
114645679226112392180539159
8D1D0D7B1EC1EAE8no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1210000000 (P-1 stage 2)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
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 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1665000 (P-1 stage 2)
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: 2021-06-03T13:54:37+00:00