is 2 90217 - 1
has 27159 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2022-02-05, 0.0% done, ETC 2022-11-19
0 primality tests remaining
ResidueStatus
L-L692BF2CA0CC58812double-checked
PRP9C8415F700FCD8__PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267329.360574.6269%300000000023757507128355041,716.763631.4586%42,046.124182.6089%7.9820%
PrimeNet2400.000057.5000%1000160000.00007.4017%0.000060.6457%3.1457%
GPU722440.000061.3636%900100000.00003.0705%0.000062.5500%1.1863%
Difference+23+329.3605+13.2632%+2999999100+237575071273550+41,716.7636+28.3881%+42,046.1241+20.0589%+6.7957%

Known prime factors (1 factor, 139.0 bits, 0.15412668% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9021772070761781451646635804495335396256440804142139.0483994300507745305576321784992595423060
22 × 5 × 73 × 5639 × 6719 × 105239 × 21759131 × 31532825287669
2022-07-0121759131315328252876691.907e+125,535.810,339

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.002--2.320%
2001-08-18T00:00:00Alex Kruppav4_computers1000000100000000---0.021--5.394%
2002-05-25T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.289%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.289%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.001--1.890%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.619%
2003-05-11T00:00:00ANONYMOUSv4_computers1048576104857600---0.022--5.469%
2003-06-23T00:00:00ANONYMOUSv4_computers2097152209715200---0.043--6.611%
2003-08-31T00:00:00ANONYMOUSv4_computers4194304419430400---0.086--7.837%
2003-12-13T00:00:00ANONYMOUSv4_computers8388608838860800---0.173--9.133%
2004-01-18T00:00:00ANONYMOUSv4_computers167772161677721600---0.346--10.477%
2012-08-29T18:33:00LaurVpinch1000000002000000000---0.656--11.635%
2016-06-17T15:44:52mikrS0532500000001400000000012---3.219--15.014%
2022-06-23T12:50:26George WoltmanSkylakeX30000000003000000000---9.67--12.513%
2022-07-01T22:53:10George WoltmanSkylakeX300000000023757507128355042139.04841,7170.00083,43431.459%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-07T17:34:34lycornsupernova100000000810000000027--1.866
2021-11-07T19:39:08lycornsupernova100000000810000000065--1.866


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-29T00:00:00ANONYMOUSv4_computers252253--0.007--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.027--
2000-12-07T00:00:00ANONYMOUSv4_computers21256--0.106--
2002-09-14T00:00:00ANONYMOUSv4_computers21257--0.213--
2016-02-23T04:51:24LaurVManual testing257258--0.213--
2016-02-23T04:51:24LaurVManual testing258259--0.426--
2009-01-05T06:33:00Sturle Sundeiago.ifi259260--0.851--
2013-10-20T14:54:00lycornasteroid260261--1.702--
2014-05-14T05:15:00Sid & AndyBuzz261262--3.405--
2015-12-01T23:12:18snme2pm1G4262263--10.88--
2017-03-14T02:08:15snme2pm1G1263264--21.76--
2018-09-04T16:17:13YxinityManual testing264265--41.42--
2018-09-03T05:07:34YxinityElena264265--41.42--
2020-03-16T12:33:49YxinityManual testing265266--82.83--


ECM factoring results:
Total ECM effort:178.444 GHz-days
Estimated T-Level:36.352
DigitsB1CompleteFacMiss
2011000397.4000.000%
255000089.7370.000%
3025000015.8150.000%
3510000002.26710.358%
4030000000.27076.301%
45110000000.02897.239%
50440000000.00399.745%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000001,41065.42
3000000300000000812113.0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:59:00MadPooManual testing692BF2CA0CC588120.000


PRP results:
dateuseridcompidcofactorsres64PRP
2022-07-02T01:02:40George WoltmanManual testing
720707617814516466358044953353962564408041
9C8415F700FCD8__no
2022-07-07T21:38:01Funky Waddlemain
720707617814516466358044953353962564408041
9C8415F700FCD8D6no


P-1 factor-bounds graph:
B1 = 3000000000, B2 = 237575071283550 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 250000000, B2 = 14000000000 (P-1 stage 2)
B1 = 250000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-01T02:47:03+00:00