is 2 720869 - 1
has 217004 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3CE1FE8B5EB9E77Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26741.219670.1493%50000001000000000.29477.8308%41.514372.4868%2.3375%
PrimeNet2400.000050.0000%65002600000.000621.5423%0.000660.7711%10.7711%
GPU722440.000054.5455%120004500000.001016.5554%0.001062.0706%7.5252%
Difference+23+41.2196+15.6038%+4988000+99550000+0.2937-8.7247%+41.5132+10.4161%+10.4161%

Known prime factors (1 factor, 73.7 bits, 0.01022282% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
720869152705797295740310717772373.69310591785559910352
24 × 3 × 7 × 31 × 1016876493847
2015-03-023110168764938474,969.51,604.42,996.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.197%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.423%
2002-03-16T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.766%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.248%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.875%
2002-11-09T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.643%
2003-06-17T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.539%
2008-12-01T16:41:00Jayson Kingatlas5000000100000000---0.295--7.831%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-15T00:00:00ANONYMOUSv4_computers253254--0.002--
2000-05-24T00:00:00ANONYMOUSv4_computers21255--0.007--
2000-05-31T00:00:00ANONYMOUSv4_computers21255--0.007--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.013--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.027--
2003-09-21T00:00:00ANONYMOUSv4_computers21258--0.053--
2008-10-12T15:23:00Sturle Sundekinner.ifi258259--0.053--
2008-10-12T15:57:00Sturle Sundekinner.ifi259260--0.107--
2010-06-27T21:20:00Architects Cubedm1_tt260261--0.213--
2015-03-01T18:11:00NRManual testing261262--0.426--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.330 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:11.330 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002796.310
50000500000020.045
25000025000000444.975


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-02-24T00:00:00ANONYMOUSv4_computers3CE1FE8B5EB9E77E0.014


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T17:35:28Oliver KruseDoppelherz
15270579729574031071777
6F0DB534368437__no
2017-10-13T15:53:34Oliver KruseThreadripper6F0DB534368437__no
2017-12-16T10:37:30ATHec2-1xf
15270579729574031071777
6F0DB534368437__no
2020-04-20T18:17:09Oliver KruseAddPrpType5
15270579729574031071777
72E1127498AFA5__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 100000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
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)
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TF factor-bounds graph:
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Last modified: 2020-04-20T18:17:09+00:00