is 2 2158727 - 1
has 649842 decimal digits
takes 0.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4904DC1417CFB753double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.611167.6471%500000050000000.47674.1581%28.087868.9923%1.3453%
PrimeNet2580.017862.0690%100001700000.00182.8099%0.019663.1348%1.0658%
GPU722620.284664.5161%100001600000.00171.5191%0.286365.0551%0.5390%
Difference+6+27.3265+3.1309%+4990000+4840000+0.4750+2.6391%+27.8015+3.9372%+3.9372%

Known prime factors (1 factor, 98.5 bits, 0.00456073% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21587274340213808361987867607265689213098.454100527158097387670316980
22 × 5 × 13 × 12601 × 18133 × 1147889 × 1474129
2019-10-03114788914741295.355e+100.11110.2227

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.198%
2010-11-07T01:16:00Jocelyn LaroucheManual testing3000030000---0.003--0.353%
2010-11-07T12:40:00Jocelyn LaroucheManual testing4500045000---0.004--0.477%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.513%
2011-01-23T11:46:00markrtiny1200002340000---0.023--2.546%
2014-10-03T21:04:00Jocelyn LaroucheManual testing149732149732---0.014--1.008%
2016-04-17T17:38:40Jocelyn LaroucheManual testing240000884078412---0.068--3.822%
2017-09-05T23:15:05Jocelyn Larouchelow 4M48000048000006---0.068--3.682%
2017-09-13T23:12:02Jocelyn Larouchelow 4M57600057600006---0.082--3.914%
2019-10-04T03:13:36mikrMSI500000050000003098.4540.4770.2840.9534.158%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T07:27:00Sturle Sundegibsy.ifi260261--0.071--
2009-01-06T23:39:00Sturle Sundeghia.ifi261262--0.142--
2013-01-23T08:20:00dbaughManual testing262263--0.455--
2015-03-22T08:28:00VictordeHollanderManual testing263264--0.909--
2015-03-22T08:28:00VictordeHollanderManual testing264265--1.731--
2015-12-30T18:01:36ramgeisManual testing265266--3.462--
2016-11-04T03:09:04Gordon SpenceManual testing266267--6.923--
2019-05-13T13:38:18TJAOIManual testing267268--13.85--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.330 GHz-days
Estimated T-Level:1.950
DigitsB1CurvesCompleteFacMiss
201100039 / 1000.39067.573%
255000039 / 2800.13986.976%

New Calculation Method

Total ECM effort:3.330 GHz-days
Estimated T-Level:1.950
DigitsB1CompleteFacMiss
20110001.25828.420%
25500000.11489.252%
302500000.00799.302%


ECM Summary

B1B2factorcurvesGHz-days
500005000000393.330


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-07T00:00:00ANONYMOUSv4_computers4904DC1417CFB7530.142
2002-09-14T00:00:00ANONYMOUSv4_computers4904DC1417CFB7530.142
2018-04-10T09:31:35kkmrkkblmbrbkold4904DC1417CFB7530.142


PRP results:
dateuseridcompidcofactorsres64PRP
2019-10-05T19:44:34mnd975211
434021380836198786760726568921
99A743D3D8784438no
2019-10-05T22:09:13Daniil Tsarkovtsar1
434021380836198786760726568921
99A743D3D8784438no
2019-10-08T14:01:49GANKL-SCH09
434021380836198786760726568921
99A743D3D8784438no


P-1 factor-bounds graph:
B1 = 5000000 (P-1 stage 1)
B1 = 576000, B2 = 5760000 (P-1 stage 2)
B1 = 480000, B2 = 4800000 (P-1 stage 2)
B1 = 240000, B2 = 8840784 (P-1 stage 2)
B1 = 576000 (P-1 stage 1)
B1 = 480000 (P-1 stage 1)
B1 = 120000, B2 = 2340000 (P-1 stage 2)
B1 = 240000 (P-1 stage 1)
B1 = 149732 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 45000 (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)
102
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102
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107
TF factor-bounds graph:
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265
264
263
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261
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Last modified: 2019-10-08T14:01:49+00:00