is 2 2673677 - 1
has 804857 decimal digits
takes 0.207 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD32CFAE8760AD6E3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.293267.6471%2000000500000000.51696.8643%22.810169.8679%2.2208%
PrimeNet2590.028762.7119%110002000000.00242.7088%0.031163.7219%1.0101%
GPU722630.596965.0794%130002200000.00271.6216%0.599765.6456%0.5663%
Difference+5+21.6963+2.5677%+1987000+49780000+0.5141+5.2428%+22.2104+4.2223%+4.2223%

Known prime factors (1 factor, 72.0 bits, 0.00269128% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
267367745812375105200189092072271.956856729797675639
3 × 285576599225213
2021-03-073285576599225213222.131,742,4893,254,485

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.240%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.785%
2010-11-19T22:14:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-08T01:27:00markrtiny1050002283750---0.025--2.548%
2014-11-25T02:49:00Jocelyn LaroucheManual testing129006129006---0.014--0.964%
2015-01-29T22:02:00Jocelyn LaroucheManual testing161257161257---0.018--1.090%
2015-01-30T21:42:00Jocelyn LaroucheManual testing177382177382---0.020--1.146%
2015-02-01T13:32:00Jocelyn LaroucheManual testing195120195120---0.022--1.205%
2015-02-03T07:46:00Jocelyn LaroucheManual testing214632214632---0.024--1.265%
2015-02-11T12:22:00Jocelyn LaroucheManual testing380231380231---0.043--1.664%
2015-02-15T21:12:00Jocelyn LaroucheManual testing418254418254---0.047--1.737%
2015-02-16T20:56:00Jocelyn LaroucheManual testing460079460079---0.052--1.811%
2015-03-12T10:39:00Jocelyn LaroucheManual testing556694556694---0.062--1.966%
2015-03-14T11:30:00Jocelyn LaroucheManual testing612363612363---0.069--2.046%
2015-03-17T11:45:00Jocelyn LaroucheManual testing673599673599---0.075--2.128%
2015-04-08T16:59:00Jocelyn LaroucheManual testing815053815053---0.091--2.298%
2015-05-01T17:21:00Jocelyn LaroucheManual testing986213986213---0.110--2.474%
2015-05-07T16:19:00Jocelyn LaroucheManual testing10848341084834---0.121--2.565%
2015-05-22T00:29:00Jocelyn LaroucheManual testing11933171193317---0.134--2.658%
2015-05-26T18:17:00Jocelyn LaroucheManual testing13126481312648---0.147--2.752%
2015-06-08T13:43:00Jocelyn LaroucheManual testing14439121443912---0.162--2.849%
2015-06-25T21:15:00Jocelyn LaroucheManual testing15883031588303---0.178--2.947%
2015-07-07T18:14:00Jocelyn LaroucheManual testing17471331747133---0.196--3.047%
2016-08-01T15:21:52Jocelyn LaroucheManual testing174713334942666---0.206--3.805%
2018-04-09T09:19:52Jocelyn Larouchelow 4M267367752342666---0.315--4.308%
2019-11-19T03:32:04masserManual testing20000005000000012---0.517--6.864%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-26T23:23:00Sturle Sundeantonov.ifi260261--0.057--
2012-05-19T19:57:00Grant McCrackenthumper261262--0.115--
2013-01-14T11:57:00dbaughManual testing262263--0.367--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.734--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.397--
2016-01-25T14:29:37ramgeisManual testing265266--2.795--
2017-09-10T15:01:54Gordon SpenceManual testing266267--5.590--
2019-04-22T13:11:28TJAOIManual testing267268--11.18--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.313 GHz-days
Estimated T-Level:4.450
DigitsB1CurvesCompleteFacMiss
201100089 / 1000.89040.882%
255000089 / 2800.31872.729%

New Calculation Method

Total ECM effort:9.313 GHz-days
Estimated T-Level:4.450
DigitsB1CompleteFacMiss
20110002.8875.577%
25500000.26177.011%
302500000.01698.404%


ECM Summary

B1B2factorcurvesGHz-days
500005000000808.274
50000500000020.207
50000675000070.832


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computersD32CFAE8760AD6E30.207
2018-07-24T20:45:32kkmrkkblmbrbkoldD32CFAE8760AD6E30.207


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-09T03:04:18Massimo Cappelli (ik5pwa)maxlinux_8
4581237510520018909207
AD92D83FC0294E88no
2021-03-09T12:52:09Oliver KruseIOS-5
4581237510520018909207
AD92D83FC0294E88no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2673677, B2 = 5234266 (P-1 stage 2)
B1 = 2673677 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 1747133, B2 = 3494266 (P-1 stage 2)
B1 = 1747133 (P-1 stage 1)
B1 = 1588303 (P-1 stage 1)
B1 = 1443912 (P-1 stage 1)
B1 = 1312648 (P-1 stage 1)
B1 = 1193317 (P-1 stage 1)
B1 = 1084834 (P-1 stage 1)
B1 = 986213 (P-1 stage 1)
B1 = 815053 (P-1 stage 1)
B1 = 673599 (P-1 stage 1)
B1 = 612363 (P-1 stage 1)
B1 = 556694 (P-1 stage 1)
B1 = 460079 (P-1 stage 1)
B1 = 418254 (P-1 stage 1)
B1 = 380231 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 214632 (P-1 stage 1)
B1 = 195120 (P-1 stage 1)
B1 = 177382 (P-1 stage 1)
B1 = 161257 (P-1 stage 1)
B1 = 129006 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (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: 2021-03-09T12:52:09+00:00