is 2 1398541 - 1
has 421003 decimal digits
takes 0.053 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L43466DD68B1C4BCFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26721.246468.6567%31069001118490000.50008.2304%21.746471.2364%2.5797%
PrimeNet2560.006962.5000%65001100000.00072.7616%0.007563.5356%1.0356%
GPU722600.109865.0000%6000650000.00051.2121%0.110365.4242%0.4242%
Difference+7+21.1365+3.6567%+3100900+111784000+0.4995+7.0183%+21.6360+5.8122%+5.8122%

Known prime factors (1 factor, 88.4 bits, 0.00632103% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13985414090008147026580745349594632788.402146224105944215462591
17 × 1297 × 1439 × 345547 × 13337123
2014-10-053455471333712378,109,2390.05830.0751

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-14T00:00:00Jocelyn Larouchev4_computers20000295000---0.002--0.979%
2014-04-16T21:17:00Jocelyn LaroucheManual testing110000110000---0.006--0.900%
2014-04-17T21:12:00Jocelyn LaroucheManual testing120000120000---0.007--0.946%
2014-04-23T21:11:00ANONYMOUSManual testing200000200000---0.011--1.246%
2014-10-05T04:29:00mikrMSI3106900111849000122788.4020.5000.1071.0008.230%
2016-03-17T19:13:47alpertronManual testing5000001500000012-
skipped known factor: 409000814702658074534959463
--0.071--4.907%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-25T00:00:00ANONYMOUSv4_computers21257--0.014--
2003-07-13T00:00:00ANONYMOUSv4_computers21258--0.027--
2022-03-07T17:32:41LordJuliusManual testing258260--0.082--
2009-02-15T10:37:00Sturle Sundegibus.ifi260261--0.110--
2012-07-05T14:35:00Grant McCrackenthumper261262--0.220--
2013-01-27T10:10:00dbaughManual testing262263--0.702--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.362 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.362 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.35725.749%
302500000.11389.315%
3510000000.00899.236%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025111.81
250000350000005013.55


Lucas-Lehmer results:
No L-L results for M1398541


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:24:00alpertronManual testing
409000814702658074534959463
6C4F3C3CF27A8A__no
2017-10-18T06:14:40Oliver KruseThreadripper
409000814702658074534959463
6C4F3C3CF27A8A__no


P-1 factor-bounds graph:
B1 = 3106900, B2 = 111849000 (P-1 stage 2)
B1 = 3106900 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 20000, B2 = 295000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
267
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262
261
260
258
257
250
260
270
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290
2100
Last modified: 2022-03-07T17:32:41+00:00