is 2 1141661 - 1
has 343675 decimal digits
takes 0.034 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L28BC1FDAA0A070F4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26726.026968.6567%500000100000000.04374.4228%26.070770.0430%1.3863%
PrimeNet2560.008462.5000%5000700000.00042.1596%0.008863.3099%0.8099%
GPU722600.134565.0000%5000260000.00030.7695%0.134865.2693%0.2693%
Difference+7+25.8924+3.6567%+495000+9974000+0.0435+3.6533%+25.9359+4.7737%+4.7737%

Known prime factors (1 factor, 99.5 bits, 0.00871223% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11416618743217329123658442686888212493099.464382916528160445983645184
29 × 6737 × 50581 × 1131629 × 1939439
2015-03-30113162919394391.651e+110.05050.0990

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-05-05T00:00:00Jocelyn Larouchev4_computers10001000---4.29764e-5--0.005%
2002-05-05T00:00:00Jocelyn Larouchev4_computers20002000---8.59528e-5--0.018%
2002-05-05T00:00:00Jocelyn Larouchev4_computers30003000---0.000--0.033%
2002-05-05T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.049%
2002-05-11T00:00:00Jocelyn Larouchev4_computers50005000---0.000--0.064%
2002-06-02T00:00:00ANONYMOUSv4_computers500001000000---0.004--1.740%
2012-01-31T03:45:00markrtiny50000010000000---0.044--4.423%
2015-03-30T07:26:00mikrMSI500000050000003099.4640.2150.0680.4304.239%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-17T00:00:00ANONYMOUSv4_computers21257--0.017--
2003-04-27T00:00:00ANONYMOUSv4_computers21258--0.034--
2022-03-07T17:30:54LordJuliusManual testing258260--0.101--
2009-02-18T04:52:00Sturle Sundeklughardt.ifi260261--0.135--
2012-08-27T14:26:00AxelssonManual testing261262--0.269--
2012-10-21T10:08:00dbaughManual testing262263--0.860--
2014-12-26T00:16:00Matthias WurtingerManual testing263264--1.720--
2015-01-13T09:15:00lycornManual testing264265--3.273--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.726 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.726 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.94
25000025000000447.784


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-06-29T00:00:00ANONYMOUSv4_computers28BC1FDAA0A070F40.034


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T06:16:37Oliver KruseGTX-3
874321732912365844268688821249
9C6622F1253218__no
2017-10-17T02:57:46Oliver KruseThreadripper
874321732912365844268688821249
9C6622F1253218__no
2018-01-05T23:46:22ATHec2-1xf
874321732912365844268688821249
9C6622F1253218__no


P-1 factor-bounds graph:
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 4000 (P-1 stage 1)
B1 = 3000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
TF factor-bounds graph:
267
265
264
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:30:54+00:00