is 2 4001009 - 1
has 1204424 decimal digits
takes 0.499 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8489CEC389F78D42double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27059.722668.5714%460000046000000.83193.6108%60.554569.7063%1.1348%
PrimeNet2610.076863.9344%160003200000.00592.7281%0.082764.9183%0.9839%
GPU722651.823566.1538%200003600000.00701.7035%1.830466.7304%0.5766%
Difference+5+57.8991+2.4176%+4580000+4240000+0.8249+1.9073%+58.7241+2.9758%+2.9758%

Known prime factors (1 factor, 111.8 bits, 0.00279388% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4001009446805494517569968710487251233604734111.783558366020318337160339413447
3 × 1697 × 3917 × 6959 × 14783 × 497473 × 547121
2017-10-084974735471214.406e+100.09050.1831

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00Team Prime Ribv4_computers20000305000---0.006--0.773%
2009-05-28T03:03:00Rob_Deetwopc50000937500---0.018--1.426%
2012-09-09T18:02:00Squeeky_SquirrelP4_26002600006240000---0.106--3.168%
2017-10-08T13:30:37mikrS0664600000460000034111.7830.8320.9981.6643.611%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-16T00:00:00GlennMaitzv4_computers21260--0.038--
1998-06-01T00:00:00GlennMaitzv4_computers21260--0.038--
1998-06-01T00:00:00GlennMaitzv4_computers21261--0.077--
2009-11-02T01:52:00GrunwalderGIMPManual testing21263--0.399--
2016-02-23T16:29:45Mark RoseManual testing261263--0.322--
2013-07-19T08:21:00JayderManual testing263264--0.491--
2013-10-09T03:38:00David CampeauManual testing264265--0.934--
2015-05-15T22:09:00snme2pm1Manual testing265266--1.868--
2016-08-27T12:52:17kkmrkkblmbrbkManual testing266267--3.735--
2017-02-01T09:28:29Smok_bmvManual testing267268--7.471--
2017-08-01T15:12:58YxinityManual testing268269--14.94--
2017-08-01T15:12:58YxinityManual testing269270--29.88--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.619 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.619 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.619


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-11T00:00:00GlennMaitzv4_computers8489CEC389F78D420.499
1999-09-30T00:00:00ANONYMOUSv4_computers8489CEC389F78D420.499


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T16:02:17kkmrkkblmbrbkc4.xlarge
4468054945175699687104872512336047
CC565AE53EB942__no
2018-01-05T15:44:57Oliver KruseGTX-5
4468054945175699687104872512336047
CC565AE53EB942__no


P-1 factor-bounds graph:
B1 = 4600000 (P-1 stage 1)
B1 = 260000, B2 = 6240000 (P-1 stage 2)
B1 = 260000 (P-1 stage 1)
B1 = 50000, B2 = 937500 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 305000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
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106
107
103
104
105
106
107
TF factor-bounds graph:
270
269
268
267
266
265
264
263
261
260
250
260
270
280
290
2100
2110
2120
Last modified: 2018-01-05T15:44:57+00:00