is 2 2232337 - 1
has 672001 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-L545ABAB817145E62double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.700767.6471%2000000650000000.51797.0375%27.218669.9239%2.2768%
PrimeNet2580.017262.0690%100001800000.00182.8708%0.019063.1579%1.0889%
GPU722620.275264.5161%110001800000.00191.6317%0.277165.0951%0.5790%
Difference+6+26.4255+3.1309%+1989000+64820000+0.5160+5.4058%+26.9414+4.8288%+4.8288%

Known prime factors (1 factor, 72.2 bits, 0.00323219% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223233752519624180921283080332272.1531176337268542368
25 × 32 × 43 × 61 × 1557188107
2020-02-28611557188107622.058.088415.107

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-10-26T19:17:00Oscar Östlin7501175011---0.007--0.675%
2011-01-13T20:06:00Oscar Östlin850001615000---0.016--2.185%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113752113752---0.011--0.869%
2014-09-30T23:23:00Jocelyn LaroucheManual testing142504142504---0.014--0.987%
2015-11-26T09:47:45Alexander DubrovinManual testing13000001100000012---0.174--4.871%
2016-01-07T10:33:51Alexander DubrovinManual testing20000006500000012---0.518--7.037%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-09T00:00:00ANONYMOUSv4_computers21257--0.009--
1998-03-09T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.052--
2009-01-11T03:26:00Sturle Sundemorovan.ifi260261--0.069--
2012-04-20T16:47:00Sebastian HornbostelManual testing261262--0.138--
2013-01-23T08:24:00dbaughManual testing262263--0.440--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.879--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.674--
2015-10-25T20:35:10ramgeisManual testing265266--3.347--
2016-12-24T00:01:01Gordon SpenceManual testing266267--6.695--
2019-04-15T13:43:05TJAOIManual testing267268--13.39--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.117 GHz-days
Estimated T-Level:2.400
DigitsB1CurvesCompleteFacMiss
201100048 / 1000.48061.729%
255000048 / 2800.17184.220%

New Calculation Method

Total ECM effort:4.117 GHz-days
Estimated T-Level:2.400
DigitsB1CompleteFacMiss
20110001.54821.259%
25500000.14086.941%
302500000.00999.142%


ECM Summary

B1B2factorcurvesGHz-days
500005000000453.860
50000500000030.257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-09T00:00:00ANONYMOUSv4_computers545ABAB817145E620.147
1999-02-21T00:00:00RonLavalleev4_computers545ABAB817145E620.147
2018-04-20T15:20:30kkmrkkblmbrbkold545ABAB817145E620.147


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-29T12:38:06Niels_Mache_NextcloudSuperDry-X
5251962418092128308033
7C99F29551020AB7no
2020-03-01T01:17:18oodairacom1
5251962418092128308033
7C99F29551020AB7no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1300000, B2 = 11000000 (P-1 stage 2)
B1 = 1300000 (P-1 stage 1)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 142504 (P-1 stage 1)
B1 = 113752 (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
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2020-03-01T01:17:18+00:00