is 2 358747 - 1
has 107994 decimal digits
takes 0.003 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26782.826971.6418%131072131072000.01183.2046%82.838772.5506%0.9088%
PrimeNet2400.000052.5000%36001100000.000116.6684%0.000160.4175%7.9175%
GPU722440.000056.8182%65001800000.000212.3231%0.000262.1395%5.3213%
Difference+23+82.8269+14.8236%+124572+12927200+0.0116-9.1184%+82.8385+10.4111%+10.4111%

Known prime factors (2 factors, 186.8 bits, 0.05206799% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35874741119331279070492973652971372891.7325730965175885860087144
23 × 11 × 43 × 1514525680730935541
2008-01-074315145256807309355411.411e+91.160e+92.166e+9
358747413096856908846038102489001272995.06057574956293550334651229
7 × 8224993756221476378747
2018-03-02782249937562214763787474.429e+106.299e+121.177e+13

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
35874716986266509577620572193102365498560615348177519279
2036399
57186.792
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-10-25T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.424%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.657%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.367%
2003-04-03T00:00:00ANONYMOUSv4_computers13107213107200---0.012--3.205%
2006-01-15T00:00:00Jocelyn Larouchev4_computers358747358747---0.005--1.332%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:37:07LordJuliusManual testing254255--0.007--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.027--
2002-02-10T00:00:00ANONYMOUSv4_computers21257--0.054--
2004-01-18T00:00:00ANONYMOUSv4_computers21258--0.107--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.477 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:10.477 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002802.934
250000250000001326.915
25000025000000120.629


Lucas-Lehmer results:
No L-L results for M358747


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T02:18:08Oliver KruseOllaptop
4111933127907049297365297137
9213EEA98A3FC2__no
2017-09-23T17:12:08Oliver KruseManual testing
4111933127907049297365297137
9213EEA98A3FC2__no
2017-10-13T05:52:12Oliver KruseThreadripper9213EEA98A3FC2__no
2017-12-15T13:01:37ATHxps
4111933127907049297365297137
9213EEA98A3FC2__no
2018-03-07T10:47:36ANONYMOUSdory
4111933127907049297365297137
41309685690884603810248900127
697DC0359E9E0B__no
2018-03-16T13:15:46marcomichsisg6
4111933127907049297365297137
41309685690884603810248900127
697DC0359E9E0B__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 358747 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T06:37:07+00:00