is 2 586679 - 1
has 176608 decimal digits
takes 0.009 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
Actual26750.647770.1493%1500000500000000.08766.2063%50.735372.0019%1.8526%
PrimeNet2400.000050.0000%55002000000.000320.0656%0.000360.0328%10.0328%
GPU722440.000054.5455%100003400000.000615.2492%0.000661.4769%6.9315%
Difference+23+50.6477+15.6038%+1490000+49660000+0.0870-9.0429%+50.7347+10.5250%+10.5250%

Known prime factors (3 factors, 223.6 bits, 0.03811476% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5866793238385003015131931858.168275992919724
22 × 3 × 613 × 37519429
2007-10-06613375194290.07940.04320.0807
58667911956089761901366244674792579.9841018963501497528141
3 × 65315881 × 5200182487
2021-11-04653158815200182487296,3657.297011.190
586679531848220957271289204063992685.45945327020479450541881
7 × 79 × 147988651 × 553864627
2018-12-0714798865155386462721,511,3943.59696.3688

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
58667938718421779644143925316076689093151795044742138.152
5866791722329302628305536811066594007587622012200744143.627
5866796358825069472686913013202877886468391443963899812150165.443
58667920592323741777003713049827576023611450509642795671
441818590783710353
68223.611
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.559%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.198%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.808%
2002-09-22T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.559%
2003-05-26T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.437%
unknown150000050000000---0.088--6.206%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:28:05LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.016--
2002-01-08T00:00:00ANONYMOUSv4_computers21257--0.033--
2003-11-16T00:00:00ANONYMOUSv4_computers21258--0.065--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.376 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:17.376 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100024.8080.000%
25500003.1354.351%
302500000.30074.050%
3510000000.02397.711%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002814.561
25000025000000423.409
2500002500000020.162
25000035000000867.950
25000035000000141.294


Lucas-Lehmer results:
No L-L results for M586679


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T11:47:09Oliver KruseGTX-1
323838500301513193
DBF95908B2501B__no
2017-09-28T09:43:40Oliver KruseManual testing
323838500301513193
DBF95908B2501B__no
2017-11-07T17:09:26kkmrkkblmbrbkc4.xlarge
323838500301513193
DBF95908B2501B__no
2018-12-08T13:18:29Chang Chia-Tcheexbbbe-lt
323838500301513193
53184822095727128920406399
242B86F2CEAAC0BEno
2018-12-09T08:52:02oodairacom1
323838500301513193
53184822095727128920406399
242B86F2CEAAC0BEno
2021-11-04T12:08:37SRJ2877LTOS
323838500301513193
1195608976190136624467479
53184822095727128920406399
242B86F2CEAAC0BEno


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
101
102
103
104
105
106
107
108
109
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T08:28:05+00:00