is 2 2204977 - 1
has 663765 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-LC426DDB22E6DA0D1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.475867.1642%2000000650000000.51797.6475%13.993869.6753%2.5111%
PrimeNet2580.017462.0690%100001800000.00182.8643%0.019363.1554%1.0864%
GPU722620.278664.5161%110001700000.00191.6008%0.280565.0841%0.5680%
Difference+5+13.1972+2.6481%+1989000+64830000+0.5160+6.0468%+13.7133+4.5912%+4.5912%

Known prime factors (1 factor, 88.6 bits, 0.00401990% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22049774815342085267572669423377772788.638109192569475046058744
23 × 3 × 4549690394793585781
2016-03-128454969039479358578129,684,5872.363e+104.414e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.281%
2010-11-05T01:17:00Jocelyn LaroucheManual testing1500015000---0.001--0.239%
2010-11-09T22:13:00Jocelyn LaroucheManual testing3000030000---0.003--0.419%
2011-01-09T17:43:00markrtiny900001642500---0.017--2.500%
2014-06-24T22:45:00Jocelyn LaroucheManual testing119109119109---0.011--1.023%
2014-10-17T00:38:00Jocelyn LaroucheManual testing148218148218---0.014--1.152%
2015-11-06T05:06:41Alexander DubrovinManual testing50000020000006---0.055--3.295%
2015-11-06T05:06:41Alexander DubrovinManual testing100000030000006---0.106--3.846%
2015-11-07T14:51:55Alexander DubrovinManual testing150000050000006---0.161--4.486%
2015-11-07T14:51:56Alexander DubrovinManual testing2000000800000012---0.222--5.099%
2015-11-07T14:51:56Alexander DubrovinManual testing2000000140000006---0.253--5.774%
2015-11-08T13:29:01Alexander DubrovinManual testing20000002500000012---0.310--6.478%
2015-11-09T13:57:18Alexander DubrovinManual testing20000003500000012---0.362--6.889%
2015-11-09T13:57:19Alexander DubrovinManual testing20000004500000012---0.414--7.196%
2015-12-07T05:25:09Alexander DubrovinManual testing20000006500000012---0.518--7.648%
2016-04-11T11:38:03alpertronManual testing5000001500000012---0.123--5.183%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:08Mark RoseManual testing258260--0.052--
2009-01-02T07:16:00Sturle Sundedietrich.ifi260261--0.070--
2009-01-09T21:41:00Sturle Sundescarpia.ifi261262--0.139--
2013-12-04T06:19:00LaurVManual testing262263--0.445--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.890--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.695--
2015-10-21T10:28:07ramgeisManual testing265266--3.389--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.627 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:1.627 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.61354.178%
25500000.05594.611%
302500000.00399.659%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.541
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersC426DDB22E6DA0D10.145


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T13:54:41Oliver Kruse
481534208526757266942337777
4F5015ADA67EE3__no
2017-11-19T22:35:15ATHec2-1xf
481534208526757266942337777
4F5015ADA67EE3__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000, B2 = 45000000 (P-1 stage 2)
B1 = 2000000, B2 = 35000000 (P-1 stage 2)
B1 = 2000000, B2 = 25000000 (P-1 stage 2)
B1 = 2000000, B2 = 14000000 (P-1 stage 2)
B1 = 2000000, B2 = 8000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000, B2 = 5000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 3000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000, B2 = 2000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 148218 (P-1 stage 1)
B1 = 119109 (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: 2017-11-19T22:35:15+00:00