is 2 4086041 - 1
has 1230021 decimal digits
takes 0.510 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L454C583E970AF674double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26929.218268.1159%2237739626566811.00006.9082%30.218270.3186%2.2026%
PrimeNet2610.075263.9344%170003200000.00612.7777%0.081264.9362%1.0018%
GPU722651.785566.1538%220004000000.00771.8074%1.793266.7656%0.6117%
Difference+4+27.4327+1.9621%+2215739+62256681+0.9923+5.1008%+28.4250+3.5530%+3.5530%

Known prime factors (1 factor, 80.5 bits, 0.00197002% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
408604117047548821695526352271192580.496208607167937075599
6513107 × 32028825557
2021-08-1665131073202882555799,866316.70589.42

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-21T16:19:00Carsten Kossendeydurandal20000300000---0.006--0.899%
2011-07-29T16:08:00harleeP4_260040000580000---0.013--1.352%
2013-07-21T14:47:00Squeeky_SquirrelP4_26001200002340000---0.044--2.492%
2019-03-20T09:14:01Ismo Laitela6600K22377396265668112---1.000--6.908%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-16T06:35:05ATH5960X250000018250000027P+12580.4962.425


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-11T00:00:00ANONYMOUSv4_computers?261--0.038--
2010-11-08T04:13:00Grant McCrackenthumper261262--0.075--
2011-07-01T19:12:00GrunwalderGIMPManual testing21263--0.391--
2016-02-23T16:29:48Mark RoseManual testing262263--0.240--
2013-08-28T23:22:00JayderManual testing263264--0.480--
2013-11-05T20:17:00David CampeauManual testing264265--0.914--
2015-05-23T23:25:00snme2pm1Manual testing265266--1.829--
2016-10-12T00:40:42kkmrkkblmbrbkManual testing266267--3.658--
2018-11-09T16:54:00YxinityManual testing267268--7.315--
2021-07-22T10:08:20TJAOIManual testing268269--14.63--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.169 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.169 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.169


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-08-09T00:00:00ANONYMOUSv4_computers454C583E970AF6740.510
2000-04-27T00:00:00ANONYMOUSv4_computers454C583E970AF6740.510


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-16T09:21:01ATHec2-PRPCF
1704754882169552635227119
AAA57F06A5AE6F67no
2021-08-16T20:49:17GURA LOVE
1704754882169552635227119
AAA57F06A5AE6F67no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 182500000 (P+1 stage 2)
B1 = 2237739, B2 = 62656681 (P-1 stage 2)
B1 = 2500000 (P+1 stage 1)
B1 = 2237739 (P-1 stage 1)
B1 = 120000, B2 = 2340000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 300000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2021-08-16T20:49:17+00:00