is 2 794249 - 1
has 239093 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-L926EAB48FAA798D6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26737.411370.1493%500000150000000.03744.5797%37.448771.5163%1.3671%
PrimeNet2400.000050.0000%70003000000.000722.2950%0.000761.1475%11.1475%
GPU722440.000054.5455%130005000000.001117.1048%0.001162.3203%7.7749%
Difference+23+37.4113+15.6038%+487000+14500000+0.0362-12.5250%+37.4475+9.1960%+9.1960%

Known prime factors (2 factors, 167.9 bits, 0.02113894% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
79424971174659257689400508492272.5924480626305962576
24 × 7 × 11 × 2857 × 1272968849
2011-12-23285712729688491,364.62.00863.7513
794249489060185792324529167659412172995.30430787585869942834625392
24 × 3 × 7 × 43 × 107 × 109121 × 266027 × 686041
2012-01-142660276860411.433e+100.00840.0157

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
79424934808692080270969270238558889375953192903132494323
3
51167.896
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.203%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.434%
2002-03-31T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.783%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.272%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.907%
2002-12-31T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.684%
2003-07-21T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.587%
2011-07-19T21:09:00Jocelyn LaroucheManual testing268718268718---0.008--1.316%
2011-08-31T00:06:00Jocelyn LaroucheManual testing447864447864---0.013--1.675%
unknown50000015000000---0.037--4.580%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-09-14T00:00:00ANONYMOUSv4_computers21258--0.048--
2008-10-11T18:54:00Sturle Sundeiago.ifi258259--0.048--
2008-10-11T19:24:00Sturle Sundeiago.ifi259260--0.097--
2010-06-19T20:50:00Architects Cubedm1_fw260261--0.193--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.390 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000323 / 1003.2303.892%
2550000323 / 2801.15431.486%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.390 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.6670.000%
25500001.34426.092%
302500000.10789.825%
3510000000.00799.297%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002796.369
25000025000000445.022


Lucas-Lehmer results:
No L-L results for M794249


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T00:54:59Oliver KruseGTX-2
7117465925768940050849
48906018579232452916765941217
92CD7D11A5987A20no
2017-10-05T21:23:50Oliver KruseManual testing
7117465925768940050849
48906018579232452916765941217
92CD7D11A5987A__no
2017-10-13T22:19:26Oliver KruseThreadripper92CD7D11A5987A__no
2017-12-17T09:30:24ATHec2-1xf
7117465925768940050849
48906018579232452916765941217
92CD7D11A5987A__no
2020-04-21T05:40:38Oliver KruseAddPrpType5
7117465925768940050849
48906018579232452916765941217
8A4F0BAF1AA02E__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 447864 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 268718 (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
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
261
260
259
258
257
256
250
260
270
280
290
2100
Last modified: 2020-04-21T05:40:38+00:00