is 2 2228483 - 1
has 670841 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L18B2234453DD59C1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.746867.6471%2000000650000000.51797.0362%27.264869.9235%2.2764%
PrimeNet2580.017262.0690%100001800000.00182.8699%0.019163.1575%1.0886%
GPU722620.275764.5161%110001800000.00191.6311%0.277665.0949%0.5788%
Difference+6+26.4712+3.1309%+1989000+64820000+0.5160+5.4051%+26.9871+4.8286%+4.8286%

Known prime factors (1 factor, 69.4 bits, 0.00311559% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22284837955116625308227282472169.430178487262979081
7 × 97 × 262867839439
2020-07-099726286783943976.5791,365.42,550.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-10-24T22:44:00Oscar Östlin7501175011---0.007--0.675%
2011-01-13T10:40:00Oscar Östlin850001615000---0.016--2.184%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113802113802---0.011--0.869%
2014-09-30T23:23:00Jocelyn LaroucheManual testing142604142604---0.014--0.987%
2015-05-05T12:15:00Squeeky_SquirrelP4_26001600004600000---0.038--3.138%
2015-11-23T19:12:40Alexander DubrovinManual testing100000060000006---0.121--4.164%
2015-11-24T16:05:49Alexander DubrovinManual testing10000001400000012---0.163--5.009%
2016-01-05T12:37:21Alexander DubrovinManual testing20000006500000012---0.518--7.036%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:09Mark RoseManual testing21260--0.069--
2009-01-11T07:42:00Sturle Sundegopher.ifi260261--0.069--
2012-04-20T06:48:00Sebastian HornbostelManual testing261262--0.138--
2013-01-23T08:24:00dbaughManual testing262263--0.441--
2015-03-06T11:16:00VictordeHollanderManual testing263264--0.881--
2015-03-06T11:16:00VictordeHollanderManual testing264265--1.677--
2015-10-25T20:35:09ramgeisManual testing265266--3.353--
2016-12-24T00:01:00Gordon SpenceManual testing266267--6.707--
2019-04-15T13:43:07TJAOIManual testing267268--13.41--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.118 GHz-days
Estimated T-Level:4.150
DigitsB1CurvesCompleteFacMiss
201100083 / 1000.83043.423%
255000083 / 2800.29674.307%

New Calculation Method

Total ECM effort:7.118 GHz-days
Estimated T-Level:4.150
DigitsB1CompleteFacMiss
20110002.6776.874%
25500000.24278.507%
302500000.01598.521%


ECM Summary

B1B2factorcurvesGHz-days
500005000000827.032
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00carlo_baffav4_computers18B2234453DD59C10.147


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-10T12:40:46mnd9mnd
795511662530822728247
49CEFD6F4B56D3EAno
2020-07-12T06:27:20fre_gamesgpu
795511662530822728247
49CEFD6F4B56D3EAno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 14000000 (P-1 stage 2)
B1 = 1000000, B2 = 6000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142604 (P-1 stage 1)
B1 = 113802 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-07-12T06:27:20+00:00