is 2 1861649 - 1
has 560413 decimal digits
takes 0.101 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L31FD6BC8A9392688double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.017269.1176%24883202488320001.25158.6154%33.268871.7783%2.6606%
PrimeNet2570.010363.1579%90001600000.00143.0266%0.011764.2730%1.1151%
GPU722610.165065.5738%90001500000.00131.6330%0.166366.1360%0.5622%
Difference+7+31.8522+3.5439%+2479320+248682000+1.2502+6.9824%+33.1024+5.6423%+5.6423%

Known prime factors (2 factors, 157.6 bits, 0.00846385% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
186164940944893810008506014092271.7941099694244457696
25 × 4637 × 7411137619
2021-09-2946377411137619494.5731.76359.323
1861649661105877067460411153801212685.77317755921687371260940
22 × 32 × 5 × 378901 × 260342436083
2020-01-273789012603424360838,144,7451,115.82,083.9

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
186164927068909933699704116976647747437301526249319048948157.567
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-05T18:08:00markrtiny2750006000000---0.046--3.535%
2015-10-07T03:22:59Bruno Victal5820K-linux5000001500000012---0.101--4.609%
2016-10-29T20:53:45Jocelyn Larouchelow 4M720000720000---0.057--2.075%
2016-12-30T23:10:08Jocelyn Larouchelow 4M864000864000---0.068--2.234%
2017-01-14T05:24:36Jocelyn Larouchelow 4M10368001036800---0.082--2.399%
2017-02-12T18:28:07Jocelyn Larouchelow 4M12441601244160012---0.146--4.880%
2017-12-26T01:13:03Jocelyn Larouchelow 4M248832024883200012---1.252--8.615%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:55Mark RoseManual testing258260--0.062--
2010-04-06T23:35:00Architects CubedManual testing260261--0.083--
2016-02-23T16:28:55Mark RoseManual testing261262--0.165--
2011-03-08T05:14:00GrunwalderGIMPManual testing21263--0.857--
2016-02-23T16:28:55Mark RoseManual testing262263--0.527--
2015-05-07T05:08:00snme2pm1Manual testing263264--1.055--
2015-05-07T05:08:00snme2pm1Manual testing264265--2.007--
2015-09-10T08:47:00ramgeisManual testing265266--4.014--
2018-05-07T13:42:45TJAOIManual testing266267--8.028--
2019-07-01T11:11:03TJAOIManual testing267268--16.06--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.819 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.819 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.4620.021%
25500000.76646.480%
302500000.04795.376%
3510000000.00299.783%


ECM Summary

B1B2factorcurvesGHz-days
500005000000845.813
50000500000030.208
500006600000735.697
500006600000917.102


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-13T00:00:00ANONYMOUSv4_computers31FD6BC8A93926880.101
1998-12-27T00:00:00ANONYMOUSv4_computers31FD6BC8A93926880.101
2015-06-27T00:54:00MadPooManual testing31FD6BC8A93926880.101


PRP results:
dateuseridcompidcofactorsres64PRP
2020-01-27T14:41:43mrhx
66110587706746041115380121
023CCC3BAB28DB2Eno
2020-02-01T10:41:23oodairacom1
66110587706746041115380121
023CCC3BAB28DB2Eno
2021-10-01T07:55:49JackBlockWin10
4094489381000850601409
66110587706746041115380121
023CCC3BAB28DB2Eno


P-1 factor-bounds graph:
B1 = 2488320, B2 = 248832000 (P-1 stage 2)
B1 = 2488320 (P-1 stage 1)
B1 = 1244160, B2 = 12441600 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1244160 (P-1 stage 1)
B1 = 1036800 (P-1 stage 1)
B1 = 864000 (P-1 stage 1)
B1 = 720000 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2021-10-01T07:55:49+00:00