is 2 825191 - 1
has 248408 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L110D8843C71FFCB9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26736.008570.1493%1000000400000000.09055.9531%36.099071.9263%1.7771%
PrimeNet2400.000050.0000%80003200000.000722.7610%0.000761.3805%11.3805%
GPU722440.000054.5455%140005500000.001317.5118%0.001362.5054%7.9599%
Difference+23+36.0085+15.6038%+986000+39450000+0.0892-11.5586%+36.0978+9.4210%+9.4210%

Known prime factors (1 factor, 87.5 bits, 0.01060619% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8251912221009365847049957833872712787.521134575471972370636485
5 × 85061 × 1272547 × 248651791
2014-03-13127254724865179159,892,5580.42720.7328

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.205%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.438%
2002-04-07T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.789%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.281%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.920%
2002-11-24T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.700%
2003-07-21T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.607%
2008-11-05T22:41:00markrManual testing100000040000000---0.090--5.953%
2014-03-13T21:34:00mikrBC51000000400000002787.5210.0900.0330.1815.953%
2016-03-17T18:52:25alpertronManual testing3000001000000012---0.024--3.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-01T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.023--
2003-08-31T00:00:00ANONYMOUSv4_computers21258--0.047--
2008-10-12T15:33:00Sturle Sundeaeronautica.ifi258259--0.047--
2008-10-12T16:08:00Sturle Sundeaeronautica.ifi259260--0.093--
2010-06-02T04:40:00Architects Cubedm1_tt260261--0.186--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.481 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:11.481 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002816.439
25000025000000445.042


Lucas-Lehmer results:
No L-L results for M825191


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T02:38:04Oliver KruseGTX-3
222100936584704995783387271
2A3F5F8666682B__no
2017-10-14T02:21:30Oliver KruseGTX-32A3F5F8666682B__no
2017-12-18T06:08:54ATHec2-1xf
222100936584704995783387271
2A3F5F8666682B__no
2020-04-21T13:50:02Oliver KruseAddPrpType5
222100936584704995783387271
140C379BD1E0E3__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 40000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
260
259
258
257
256
255
250
260
270
280
290
2100
Last modified: 2020-04-21T13:50:02+00:00