is 2 2039119 - 1
has 613836 decimal digits
takes 0.134 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8F45C475025F9145double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.571968.6567%500000150000000.12305.1350%14.694970.2662%1.6095%
PrimeNet2580.018863.7931%90001600000.00162.6630%0.020564.7573%0.9642%
GPU722620.301366.1290%90001200000.00141.3288%0.302766.5791%0.4501%
Difference+5+14.2707+2.5277%+491000+14880000+0.1216+3.8062%+14.3922+3.6871%+3.6871%

Known prime factors (1 factor, 87.4 bits, 0.00428670% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20391192057295674626290577961003532787.41150445699211921682304
27 × 32 × 43789669454793127
2016-04-301284378966945479312723,635,139227,454,491424,821,647

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.274%
2009-02-10T03:16:00markrManual testing1000003000000---0.025--2.899%
2014-07-04T02:22:00Jocelyn LaroucheManual testing131476131476---0.013--1.065%
2014-10-17T00:38:00Jocelyn LaroucheManual testing162952162952---0.016--1.195%
2015-10-05T18:45:05Bruno Victal4790K-windows5000001500000012---0.123--5.135%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00Ethan O'Connorv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-03T02:07:00Sturle Sundegimo.ifi260261--0.075--
2012-02-11T12:47:00Sebastian HornbostelManual testing261262--0.151--
2013-08-30T08:22:00ramgeisManual testing262263--0.481--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.963--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.832--
2015-11-01T21:50:58ramgeisManual testing265266--3.665--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.628 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:2.628 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09091.358%
302500000.00699.445%


ECM Summary

B1B2factorcurvesGHz-days
500005000000282.374
50000500000030.254


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00Ethan O'Connorv4_computers8F45C475025F91450.134


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T05:19:01Oliver KruseGTX-1
205729567462629057796100353
DEE5D6739B99FE__no
2017-11-14T20:15:25kkmrkkblmbrbkc4.xlarge
205729567462629057796100353
DEE5D6739B99FE__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 3000000 (P-1 stage 2)
B1 = 162952 (P-1 stage 1)
B1 = 131476 (P-1 stage 1)
B1 = 100000 (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: 2022-03-29T21:14:42+00:00