is 2 2178389 - 1
has 655761 decimal digits
takes 0.143 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF8AF2EBD2C036026double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.640367.1642%700000210000000.17225.7161%13.812569.0411%1.8769%
PrimeNet2580.017662.0690%100001800000.00182.8579%0.019563.1530%1.0840%
GPU722620.282064.5161%110001600000.00181.5685%0.283865.0727%0.5566%
Difference+5+13.3583+2.6481%+689000+20840000+0.1704+4.1476%+13.5286+3.9684%+3.9684%

Known prime factors (1 factor, 96.2 bits, 0.00441604% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2178389909233640991121450059572119692996.19920869404890290977645856
25 × 7 × 11 × 66491 × 127381540519319
2016-10-24664911273815405193198.349e+9661,6521,235,781

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.280%
2010-11-05T01:17:00Jocelyn LaroucheManual testing1500015000---0.001--0.238%
2010-11-08T01:30:00Jocelyn LaroucheManual testing3000030000---0.003--0.418%
2011-01-14T17:43:00markrtiny900001620000---0.017--2.487%
2014-06-21T17:25:00Jocelyn LaroucheManual testing119464119464---0.011--1.022%
2014-10-06T21:12:00Jocelyn LaroucheManual testing148928148928---0.014--1.153%
2015-12-22T14:03:57HBendtzManual testing7000002100000012---0.172--5.716%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00Dry Creek Photov4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T18:23:00Sturle Sundegassmann.ifi260261--0.071--
2009-01-07T20:09:00Sturle Sundegolan.ifi261262--0.141--
2013-01-23T08:20:00dbaughManual testing262263--0.451--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.901--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.715--
2016-01-02T13:50:58ramgeisManual testing265266--3.430--
2016-11-17T17:00:13Gordon SpenceManual testing266267--6.861--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.223 GHz-days
Estimated T-Level:1.300
DigitsB1CurvesCompleteFacMiss
201100026 / 1000.26077.004%
255000026 / 2800.09391.117%

New Calculation Method

Total ECM effort:2.223 GHz-days
Estimated T-Level:1.300
DigitsB1CompleteFacMiss
20110000.83943.227%
25500000.07692.700%
302500000.00599.534%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.052
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00mijutuv4_computersF8AF2EBD2C0360260.143


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-10T18:40:10kkmrkkblmbrbkold
90923364099112145005957211969
3FE763AD726CAF__no
2017-10-24T15:17:06Oliver KruseGTX-2
90923364099112145005957211969
3FE763AD726CAF__no


P-1 factor-bounds graph:
B1 = 700000, B2 = 21000000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148928 (P-1 stage 1)
B1 = 119464 (P-1 stage 1)
B1 = 90000 (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)
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TF factor-bounds graph:
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266
265
264
263
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261
260
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2100
Last modified: 2017-10-24T15:17:06+00:00