is 2 791419 - 1
has 238241 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-LE5C179E2A84DEF93double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26737.545170.1493%500000150000000.03744.5777%37.582571.5157%1.3665%
PrimeNet2400.000050.0000%70003000000.000722.2865%0.000761.1433%11.1433%
GPU722440.000054.5455%130005000000.001117.0980%0.001162.3173%7.7718%
Difference+23+37.5451+15.6038%+487000+14500000+0.0362-12.5202%+37.5813+9.1985%+9.1985%

Known prime factors (1 factor, 63.1 bits, 0.00797507% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
79141999973384761064852791963.1166316084448381
5651 × 1117693231
2009-09-14565111176932314.42281.76373.2937

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.203%
2002-02-03T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.433%
2002-03-31T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.782%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.271%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.906%
2002-12-09T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.682%
2003-07-30T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.586%
unknown50000015000000---0.037--4.578%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-10-07T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-09-14T00:00:00ANONYMOUSv4_computers21258--0.049--
2008-10-12T08:25:00Sturle Sundetristan.ifi258259--0.049--
2008-10-12T08:56:00Sturle Sundetristan.ifi259260--0.097--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.386 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:11.386 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002796.366
25000025000000445.020


Lucas-Lehmer results:
No L-L results for M791419


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T00:44:02Oliver KruseGTX-2
9997338476106485279
D2537D930F2638__no
2017-10-13T22:01:15Oliver KruseGTX-2D2537D930F2638__no
2017-12-17T04:41:35ATHec2-1xf
9997338476106485279
D2537D930F2638__no
2020-04-21T05:09:01Oliver KruseAddPrpType5
9997338476106485279
25A2C6A7019568__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 = 65537, B2 = 6553700 (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 = 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
260
259
258
257
256
255
250
260
270
280
290
2100
Last modified: 2020-04-21T05:09:01+00:00