is 2 799417 - 1
has 240649 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-LE5BDB8404F5AF4BDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26737.169570.1493%131072131072000.02433.5907%37.193871.2211%1.0718%
PrimeNet2400.000050.0000%70003000000.000722.3104%0.000761.1552%11.1552%
GPU722440.000054.5455%130005000000.001117.1172%0.001162.3260%7.7805%
Difference+23+37.1695+15.6038%+118072+12607200+0.0231-13.5265%+37.1926+8.8951%+8.8951%

Known prime factors (1 factor, 129.1 bits, 0.01615119% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
79941773722771167543732985737348317110438648739129.115461103348862631974212065469692979
32 × 61 × 619 × 14207 × 202387 × 580687 × 791663 × 1026521
2012-04-3079166310265212.145e+110.02330.0467

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.203%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.434%
2002-03-31T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.784%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.273%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.910%
2002-12-16T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.686%
2003-07-30T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.591%
2011-06-21T02:35:00Jocelyn LaroucheManual testing400000400000---0.012--1.593%
2011-08-31T00:06:00Jocelyn LaroucheManual testing444113444113---0.013--1.670%
2012-01-22T03:55:00Jocelyn LaroucheManual testing888227888227---0.026--2.239%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-10-15T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-09-14T00:00:00ANONYMOUSv4_computers21258--0.048--
2008-10-12T16:43:00Sturle Sundeothello.ifi258259--0.048--
2008-10-12T17:12:00Sturle Sundeothello.ifi259260--0.096--
2010-06-14T15:30:00Architects Cubedm1_fw260261--0.192--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.444 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:11.444 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002816.418
25000025000000445.025


Lucas-Lehmer results:
No L-L results for M799417


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T01:11:34Oliver KruseGTX-0
737227711675437329857373483171104386487
0DB3EEE35CAB1C__no
2017-10-13T22:55:13Oliver KruseThreadripper0DB3EEE35CAB1C__no
2017-12-17T17:47:08ATHec2-1xf
737227711675437329857373483171104386487
0DB3EEE35CAB1C__no
2020-04-21T06:21:27Oliver KruseAddPrpType5
737227711675437329857373483171104386487
EBFD64611991E4__no


P-1 factor-bounds graph:
B1 = 888227 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 444113 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 400000 (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)
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108
TF factor-bounds graph:
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259
258
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Last modified: 2020-04-21T06:21:27+00:00