is 2 2134963 - 1
has 642688 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L03C5F44B6129487Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.917867.1642%25000001250000000.87468.5797%14.792469.9814%2.8172%
PrimeNet2580.018062.0690%90001700000.00172.7301%0.019763.1045%1.0356%
GPU722620.287864.5161%100001500000.00171.4868%0.289465.0437%0.5276%
Difference+5+13.6300+2.6481%+2490000+124850000+0.8730+7.0929%+14.5030+4.9377%+4.9377%

Known prime factors (1 factor, 95.4 bits, 0.00446757% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2134963515878015415798748727065832792995.38112081661729402306942253
19 × 23 × 73 × 89 × 401 × 457607 × 23189711
2017-10-06457607231897114.045e+90.16170.2250

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.278%
2010-10-25T23:02:00Oscar Östlin7501175011---0.007--0.776%
2010-11-25T18:32:00Oscar Östlin800001500000---0.015--2.377%
2013-11-13T18:49:00c10ck3rManual testing50000010000000---0.097--4.776%
2017-10-06T10:58:20mikrMSI2500000125000000122995.3810.8750.2811.7498.580%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00Charlie Dorianv4_computers21258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-04T18:16:00Sturle Sundedittersdorf.ifi260261--0.072--
2012-04-15T15:49:00Sebastian HornbostelManual testing261262--0.144--
2013-02-21T00:57:00dbaughManual testing262263--0.460--
2015-03-18T10:55:00VictordeHollanderManual testing263264--0.920--
2015-03-18T10:55:00VictordeHollanderManual testing264265--1.750--
2015-12-27T16:49:13ramgeisManual testing265266--3.500--
2016-10-29T15:24:09Gordon SpenceManual testing266267--7.000--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.729 GHz-days
Estimated T-Level:1.600
DigitsB1CurvesCompleteFacMiss
201100032 / 1000.32072.498%
255000032 / 2800.11489.182%

New Calculation Method

Total ECM effort:2.729 GHz-days
Estimated T-Level:1.600
DigitsB1CompleteFacMiss
20110001.03235.620%
25500000.09391.093%
302500000.00699.427%


ECM Summary

B1B2factorcurvesGHz-days
500005000000322.729


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00Charlie Dorianv4_computers03C5F44B6129487D0.140


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T16:00:39Oliver KruseGTX-0
51587801541579874872706583279
5B69D7E700E554__no
2017-11-18T04:06:43kkmrkkblmbrbkc4.xlarge
51587801541579874872706583279
5B69D7E700E554__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 80000, B2 = 1500000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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109
TF factor-bounds graph:
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266
265
264
263
262
261
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2100
Last modified: 2017-11-18T04:06:43+00:00