is 2 720197 - 1
has 216801 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-LCDBB86F413BA0B32double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26741.258070.1493%2400000012000000002.550512.0987%43.808673.7608%3.6115%
PrimeNet2400.000050.0000%65002600000.000621.5401%0.000660.7700%10.7700%
GPU722440.000054.5455%120004500000.001016.5537%0.001062.0698%7.5244%
Difference+23+41.2580+15.6038%+23988000+1199550000+2.5495-4.4550%+43.8075+11.6909%+11.6909%

Known prime factors (1 factor, 104.2 bits, 0.01446352% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7201972275349884332640012441306126980132104.16615796718705664144757901700
22 × 33 × 52 × 7 × 11 × 109 × 22153 × 28051 × 1121773049
2016-05-242805111217730491.783e+111.77073.3058

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--1.247%
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--3.538%
2008-11-29T16:26:00Jayson Kingatlas5000000100000000---0.295--7.830%
2016-05-24T13:08:28mikrS0522400000012000000001232104.1662.5510.0295.10112.099%


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--
2008-10-11T22:16:00Sturle Sundekinner.ifi258259--0.053--
2008-10-11T22:48:00Sturle Sundekinner.ifi259260--0.107--
2010-06-16T08:50:00Architects Cubedm1_fw260261--0.213--
2015-03-01T18:11:00NRManual testing261262--0.427--
2015-10-14T10:43:32Gordon SpenceManual testing262263--1.363--
2015-10-14T10:43:32Gordon SpenceManual testing263264--2.726--
2016-04-26T03:03:06lycornManual testing264265--5.188--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.329 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:11.329 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002816.354
25000025000000444.975


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:45:00MadPooManual testingCDBB86F413BA0B320.014


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T16:44:52Oliver KruseGTX-2
22753498843326400124413061269801
B4207CE7CAB4BE__no
2017-09-28T09:45:29Oliver KruseManual testing
22753498843326400124413061269801
B4207CE7CAB4BE__no
2017-11-09T04:22:39kkmrkkblmbrbkc4.large
22753498843326400124413061269801
B4207CE7CAB4BE__no
2020-04-20T18:11:40Oliver KruseAddPrpType5
22753498843326400124413061269801
3E6881A3E42C2F__no


P-1 factor-bounds graph:
B1 = 24000000, B2 = 1200000000 (P-1 stage 2)
B1 = 24000000 (P-1 stage 1)
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)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
265
264
263
262
261
260
259
258
257
256
255
254
250
260
270
280
290
2100
2110
Last modified: 2020-04-20T18:11:40+00:00