is 2 789227 - 1
has 237582 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-L8954AC2A00B6B6__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26737.649470.1493%500000150000000.03744.5762%37.686871.5153%1.3660%
PrimeNet2400.000050.0000%70003000000.000722.2800%0.000761.1400%11.1400%
GPU722440.000054.5455%130005000000.001117.0927%0.001162.3148%7.7694%
Difference+23+37.6494+15.6038%+487000+14500000+0.0362-12.5165%+37.6856+9.2004%+9.2004%

Known prime factors (1 factor, 70.8 bits, 0.00896449% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
78922719857555610405925205912270.7501258038283688085
3 × 5 × 163 × 281 × 1831085713
2007-09-012811831085713589.032.88915.3960

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--0.781%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.270%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.905%
2002-12-09T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.681%
2003-07-21T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.584%
unknown50000015000000---0.037--4.576%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-10-07T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-09-21T00:00:00ANONYMOUSv4_computers21258--0.049--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.429 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:11.429 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
5000050000002816.410
25000025000000445.019


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-10T00:00:00ANONYMOUSv4_computers8954AC2A00B6B6__0.016


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T00:39:00Oliver KruseGTX-0
1985755561040592520591
66B605E6AED967__no
2017-10-13T21:42:17Oliver KruseThreadripper66B605E6AED967__no
2017-12-17T01:15:02ATHec2-1xf
1985755561040592520591
66B605E6AED967__no
2020-04-21T04:47:42Oliver KruseAddPrpType5
1985755561040592520591
53D9E6D5B2743B__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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
255
250
260
270
280
290
2100
Last modified: 2020-04-21T04:47:42+00:00