is 2 729601 - 1
has 219632 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L792703C1296636FFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26740.726370.1493%500000150000000.03744.5323%40.763671.5022%1.3529%
PrimeNet2400.000050.0000%65002600000.000621.5705%0.000660.7852%10.7852%
GPU722440.000054.5455%120004500000.001016.5782%0.001062.0810%7.5355%
Difference+23+40.7263+15.6038%+488000+14550000+0.0363-12.0459%+40.7626+9.4212%+9.4212%

Known prime factors (1 factor, 62.8 bits, 0.00860408% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
72960178939061175232646071962.7755409741843503
36097 × 149866799
2009-11-13360971498667992.14180.23740.4416

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.198%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.424%
2002-03-16T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.768%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.250%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.879%
2002-11-16T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.648%
2003-06-23T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.545%
2016-03-17T18:50:56alpertronManual testing5000001500000012---0.037--4.532%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21T00:00:00ANONYMOUSv4_computers252254--0.002--
2000-05-24T00:00:00ANONYMOUSv4_computers21255--0.007--
2000-05-31T00:00:00ANONYMOUSv4_computers21255--0.007--
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.013--
2001-10-25T00:00:00ANONYMOUSv4_computers21257--0.026--
2003-09-21T00:00:00ANONYMOUSv4_computers21258--0.053--
2008-10-13T04:29:00Sturle Sundekraus.ifi258259--0.053--
2008-10-13T05:05:00Sturle Sundekraus.ifi259260--0.105--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.320 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.320 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002806.339
25000025000000444.981


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-03-07T00:00:00ANONYMOUSv4_computers792703C1296636FF0.015


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T17:12:46Oliver KruseGTX-3
7893906117523264607
49EDADC81B6F28__no
2017-09-28T09:45:59Oliver KruseManual testing
7893906117523264607
49EDADC81B6F28__no
2017-11-09T01:25:13kkmrkkblmbrbkc4.large
7893906117523264607
49EDADC81B6F28__no
2020-04-20T19:33:12Oliver KruseAddPrpType5
7893906117523264607
62DFD6E845FDBB__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
TF factor-bounds graph:
267
260
259
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2020-04-20T19:33:12+00:00