is 2 2152291 - 1
has 647905 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-L45E4CD90C2AD7797double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.693767.6471%25000001250000000.87467.9177%28.568370.2087%2.5616%
PrimeNet2580.017862.0690%90001700000.00172.7343%0.019563.1061%1.0371%
GPU722620.285464.5161%100001600000.00171.5181%0.287265.0548%0.5387%
Difference+6+27.4082+3.1309%+2490000+124840000+0.8729+6.3996%+28.2812+5.1539%+5.1539%

Known prime factors (1 factor, 68.9 bits, 0.00320092% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21522915481387441614307083112168.893127338437079705
3 × 5 × 19 × 446801533613
2020-02-291944680153361336.9822,320.84,334.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.254%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.353%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.513%
2011-01-24T07:16:00James Heinrichi7-9201350002666250---0.026--2.682%
2016-05-02T01:23:02Jocelyn LaroucheManual testing270000995456212---0.076--3.983%
2017-10-04T07:45:19Jocelyn Larouchelow 4M54000054000006---0.077--3.830%
2017-11-14T02:08:18Jocelyn Larouchelow 4M6480001095001812---0.115--4.546%
2017-12-11T20:38:41mikrMSI250000012500000012---0.875--7.918%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.054--
2009-01-04T10:39:00Sturle Sundegehry.ifi260261--0.071--
2009-01-08T11:25:00Sturle Sundeklughardt.ifi261262--0.143--
2013-09-08T17:50:00ramgeisManual testing262263--0.456--
2015-03-22T08:28:00VictordeHollanderManual testing263264--0.912--
2015-03-22T08:28:00VictordeHollanderManual testing264265--1.736--
2015-12-30T18:01:33ramgeisManual testing265266--3.472--
2016-11-04T03:09:02Gordon SpenceManual testing266267--6.944--
2019-05-20T13:24:30TJAOIManual testing267268--13.89--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.883 GHz-days
Estimated T-Level:3.250
DigitsB1CurvesCompleteFacMiss
201100065 / 1000.65052.034%
255000055 / 2800.19682.137%

New Calculation Method

Total ECM effort:4.883 GHz-days
Estimated T-Level:3.250
DigitsB1CompleteFacMiss
20110001.77616.924%
25500000.16085.183%
302500000.01099.017%


ECM Summary

B1B2factorcurvesGHz-days
110001100000100.188
500005000000544.610
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers45E4CD90C2AD77970.142
2018-04-09T09:09:43kkmrkkblmbrbkold45E4CD90C2AD77970.142


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-01T12:32:45Christoph ZengerManual testing
548138744161430708311
C961EAE811986D1Ano
2020-03-04T13:45:14Alvin BunkBADCAT
548138744161430708311
C961EAE811986D1Ano


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 648000, B2 = 10950018 (P-1 stage 2)
B1 = 540000, B2 = 5400000 (P-1 stage 2)
B1 = 270000, B2 = 9954562 (P-1 stage 2)
B1 = 648000 (P-1 stage 1)
B1 = 540000 (P-1 stage 1)
B1 = 135000, B2 = 2666250 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
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)
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TF factor-bounds graph:
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Last modified: 2020-03-04T13:45:14+00:00