is 2 2040191 - 1
has 614159 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-L4610C063636EDC88double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.564368.6567%500000150000000.12305.1353%14.687370.2663%1.6096%
PrimeNet2580.018863.7931%90001600000.00162.6632%0.020564.7574%0.9643%
GPU722620.301166.1290%90001200000.00141.3290%0.302666.5792%0.4501%
Difference+5+14.2632+2.5277%+491000+14880000+0.1216+3.8063%+14.3847+3.6871%+3.6871%

Known prime factors (1 factor, 76.4 bits, 0.00374699% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20401911029119664372662942077692476.44625221159792702324
22 × 32 × 11 × 634817 × 100327807
2015-07-0863481710032780714,3600.57840.9733

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.274%
2009-02-10T22:35:00markrManual testing1000003000000---0.025--2.899%
2014-07-18T01:19:00Jocelyn LaroucheManual testing131460131460---0.013--1.065%
2014-10-17T00:38:00Jocelyn LaroucheManual testing162920162920---0.016--1.195%
2016-03-17T19:19:51alpertronManual testing5000001500000012---0.123--5.135%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00carlo_baffav4_computers21258--0.019--
2022-03-09T07:29:22LordJuliusManual testing21260--0.075--
2009-01-02T18:45:00Sturle Sundeginy.ifi260261--0.075--
2012-02-11T16:48:00Sebastian HornbostelManual testing261262--0.151--
2013-08-30T08:22:00ramgeisManual testing262263--0.481--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.962--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.831--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.713 GHz-days
Estimated T-Level:1.600
DigitsB1CurvesCompleteFacMiss
201100032 / 1000.32072.498%
255000032 / 2800.11489.182%

New Calculation Method

Total ECM effort:2.713 GHz-days
Estimated T-Level:1.600
DigitsB1CompleteFacMiss
20110001.03235.620%
25500000.09391.093%
302500000.00699.427%


ECM Summary

B1B2factorcurvesGHz-days
500005000000292.459
50000500000030.254


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00carlo_baffav4_computers4610C063636EDC880.134


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T05:32:01Oliver KruseGTX-3
102911966437266294207769
8D029F2D0345E2__no
2017-11-14T22:30:03kkmrkkblmbrbkc4.xlarge
102911966437266294207769
8D029F2D0345E2__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 = 162920 (P-1 stage 1)
B1 = 131460 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2022-04-27T00:23:47+00:00