is 2 2692891 - 1
has 810641 decimal digits
takes 0.208 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7DB17F97C6240DE5double-checked
PRP830C08D0B05ACCECverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.134267.6471%2000000500000000.51696.8695%22.651069.8695%2.2225%
PrimeNet2590.028562.7119%120002200000.00262.8417%0.031163.7715%1.0596%
GPU722630.592765.0794%140002200000.00281.6604%0.595565.6592%0.5798%
Difference+5+21.5415+2.5677%+1986000+49780000+0.5140+5.2091%+22.0555+4.2104%+4.2104%

Known prime factors (1 factor, 80.1 bits, 0.00297587% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
269289113292864488445164029626392580.137246814009338758309
7 × 31 × 73 × 99089 × 157239541
2021-05-2099089157239541180,0700.96991.7919

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--0.786%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.371%
2011-01-31T12:45:00markrtiny1050002310000---0.025--2.558%
2016-07-14T05:43:48Jocelyn LaroucheManual testing16750046200006---0.046--3.251%
2016-12-21T00:33:42Jocelyn Larouchelow 4M201000201000---0.023--1.225%
2017-04-22T17:25:07Jocelyn Larouchelow 4M33500033500006---0.056--3.343%
2018-07-14T22:01:45Jocelyn Larouchelow 4M67000067000006---0.112--4.224%
2019-11-14T14:05:43masserManual testing20000005000000012---0.517--6.870%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-07T00:00:00ANONYMOUSv4_computers21259--0.029--
1999-10-29T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:19Mark RoseManual testing259260--0.029--
2009-01-31T03:45:00Sturle Sundegnom.ifi260261--0.057--
2012-05-04T04:57:00markroldgamer261262--0.114--
2013-01-10T10:18:00dbaughManual testing262263--0.365--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.729--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.387--
2016-01-27T13:46:24ramgeisManual testing265266--2.775--
2017-09-15T16:43:52Gordon SpenceManual testing266267--5.550--
2019-03-25T14:10:59TJAOIManual testing267268--11.10--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.457 GHz-days
Estimated T-Level:21.804
DigitsB1CurvesCompleteFacMiss
2011000101 / 1001.01036.237%
2550000101 / 2800.36169.673%

New Calculation Method

Total ECM effort:10.457 GHz-days
Estimated T-Level:21.804
DigitsB1CompleteFacMiss
20110003.8852.056%
25500000.35969.807%
302500000.02397.758%
3510000000.00199.894%


ECM Summary

B1B2factorcurvesGHz-days
5000050000009810.15
50000500000030.311


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-07T00:00:00ANONYMOUSv4_computers7DB17F97C6240DE50.208
1999-07-04T00:00:00ANONYMOUSv4_computers7DB17F97C6240DE50.208
1999-10-29T00:00:00ANONYMOUSv4_computers7DB17F97C6240DE50.208
2018-07-29T09:39:12kkmrkkblmbrbkold7DB17F97C6240DE50.208


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-20T15:28:06tottenhoff2018pc
1329286448844516402962639
830C08D0B05ACCECno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 670000, B2 = 6700000 (P-1 stage 2)
B1 = 670000 (P-1 stage 1)
B1 = 335000, B2 = 3350000 (P-1 stage 2)
B1 = 167500, B2 = 4620000 (P-1 stage 2)
B1 = 335000 (P-1 stage 1)
B1 = 105000, B2 = 2310000 (P-1 stage 2)
B1 = 201000 (P-1 stage 1)
B1 = 167500 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 30000 (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: 2021-05-20T15:28:06+00:00