is 2 2116469 - 1
has 637121 decimal digits
takes 0.139 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L26DD80246C6EF1C5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.162467.6471%25000001250000000.87467.9045%29.037170.2044%2.5573%
PrimeNet2580.018162.0690%90001600000.00162.6817%0.019863.0862%1.0172%
GPU722620.290364.5161%100001400000.00161.4536%0.291965.0319%0.5158%
Difference+6+27.8721+3.1309%+2490000+124860000+0.8730+6.4509%+28.7451+5.1725%+5.1725%

Known prime factors (1 factor, 70.9 bits, 0.00334779% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
211646921353742607966217811372270.855504466226719272
23 × 33 × 2335491790367
2020-04-30272335491790367136.6712,13122,658

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2009-08-02T15:12:00harleeP4_260020000260000---0.003--0.878%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.352%
2011-01-10T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.511%
2011-01-24T23:19:00James Heinrichi7-9201400003010000---0.028--2.769%
2016-07-23T03:38:16Jocelyn LaroucheManual testing186340602000012---0.048--3.384%
2016-11-10T03:36:31Jocelyn Larouchelow 4M223608223608---0.021--1.242%
2017-06-10T03:57:36Jocelyn Larouchelow 4M37268037268006---0.053--3.364%
2017-06-28T04:14:46Jocelyn Larouchelow 4M44721644721606---0.064--3.585%
2017-08-08T01:37:06mikrMSI250000012500000012---0.875--7.904%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.054--
2009-01-03T10:19:00Sturle Sundegilia.ifi260261--0.073--
2012-04-01T22:47:00Sebastian HornbostelManual testing261262--0.145--
2013-09-05T08:28:00ramgeisManual testing262263--0.464--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.928--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.765--
2016-01-06T22:34:24ramgeisManual testing265266--3.531--
2016-10-15T17:13:23Gordon SpenceManual testing266267--7.062--
2019-05-13T13:38:19TJAOIManual testing267268--14.12--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.070 GHz-days
Estimated T-Level:4.150
DigitsB1CurvesCompleteFacMiss
201100083 / 1000.83043.423%
255000083 / 2800.29674.307%

New Calculation Method

Total ECM effort:7.070 GHz-days
Estimated T-Level:4.150
DigitsB1CompleteFacMiss
20110002.6776.874%
25500000.24278.507%
302500000.01598.521%


ECM Summary

B1B2factorcurvesGHz-days
500005000000816.900
50000500000020.170


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers26DD80246C6EF1C50.139
2018-04-03T17:28:55kkmrkkblmbrbkold26DD80246C6EF1C50.139


PRP results:
dateuseridcompidcofactorsres64PRP
2020-05-01T14:37:58Christoph ZengerManual testing
2135374260796621781137
A4792E144E0EC812no
2020-05-01T20:23:48Klaus Nordmannno1
2135374260796621781137
A4792E144E0EC812no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 447216, B2 = 4472160 (P-1 stage 2)
B1 = 372680, B2 = 3726800 (P-1 stage 2)
B1 = 186340, B2 = 6020000 (P-1 stage 2)
B1 = 447216 (P-1 stage 1)
B1 = 372680 (P-1 stage 1)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-05-01T20:23:48+00:00