is 2 1142083 - 1
has 343802 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-LE64C958BDD3BB270double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26726.017368.6567%1000000300000000.11095.8734%26.128270.4976%1.8409%
PrimeNet2560.008462.5000%5000700000.00042.1598%0.008863.3099%0.8099%
GPU722600.134565.0000%5000260000.00030.7696%0.134765.2693%0.2693%
Difference+7+25.8828+3.6567%+995000+29974000+0.1106+5.1038%+25.9934+5.2283%+5.2283%

Known prime factors (1 factor, 69.1 bits, 0.00604983% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11420836300857452079287343772169.094275849366993436
22 × 3 × 53 × 433725419801
2013-09-0453433725419801144.781,015.61,896.8

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%
2004-06-21T00:00:00ANONYMOUSv4_computers100000030000000---0.111--5.873%
2016-03-17T19:01:50alpertronManual testing3000001000000012---0.036--4.135%


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--
2009-03-08T05:05:00Sturle Sundeklughardt.ifi260261--0.134--
2012-08-27T14:26:00AxelssonManual testing261262--0.269--
2012-10-21T10:08:00dbaughManual testing262263--0.860--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.692 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.692 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002809.91
25000025000000447.784


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-06-29T00:00:00ANONYMOUSv4_computersE64C958BDD3BB2700.034


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T06:20:35Oliver KruseGTX-3
630085745207928734377
E579A7C7492922__no
2017-10-17T03:04:33Oliver KruseThreadripper
630085745207928734377
E579A7C7492922__no
2018-01-06T00:44:28ATHec2-1xf
630085745207928734377
E579A7C7492922__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:30:54+00:00