is 2 33601 - 1
has 10115 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE8ABEF4AF21E4F40double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267884.316576.1194%1200000000096000000000060.758922.3896%945.075481.4662%5.3468%
PrimeNet2400.000060.0000%500100000.00004.2235%0.000061.6894%1.6894%
GPU722440.000163.6364%500100000.00001.8180%0.000164.2975%0.6611%
Difference+23+884.3164+12.4830%+11999999500+959999990000+60.7589+20.5716%+945.0753+17.1687%+17.1687%

Known prime factors (1 factor, 150.3 bits, 0.44732827% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33601176541551541835698410093499512762007364451576946150.30726270282363893291629727314590750573995484
22 × 449 × 94035646623409 × 155548523549130736509031		2020-09-02940356466234091555485235491307365090315.328e+128.090e+121.511e+13

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.001--1.986%
2001-08-18T00:00:00Alex Kruppav4_computers1000000100000000---0.006--4.817%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---9.99982e-5--0.667%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.000--1.072%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.000--1.602%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.001--2.256%
2003-03-27T00:00:00ANONYMOUSv4_computers26214426214400---0.002--3.028%
2003-04-03T00:00:00ANONYMOUSv4_computers52428852428800---0.003--3.908%
2003-04-27T00:00:00ANONYMOUSv4_computers1048576104857600---0.006--4.887%
2003-05-19T00:00:00ANONYMOUSv4_computers2097152209715200---0.013--5.957%
2003-07-13T00:00:00ANONYMOUSv4_computers4194304419430400---0.026--7.112%
2003-10-08T00:00:00ANONYMOUSv4_computers8388608838860800---0.051--8.345%
2003-10-08T00:00:00ANONYMOUSv4_computers167772161677721600---0.102--9.639%
2011-09-24T18:59:00Jocelyn LaroucheManual testing5409930954099309---0.052--5.501%
2012-05-29T00:09:00Jocelyn LaroucheManual testing8114896481148964---0.077--6.054%
2012-07-01T15:56:00LaurVpinch1000000002000000000---0.194--10.805%
2013-04-09T17:41:00Le ComteS76110000000010000000000---0.610--13.128%
2016-04-25T16:07:37Jocelyn LaroucheManual testing200000000360000000012---0.368--11.919%
2016-04-28T16:16:55Jocelyn LaroucheManual testing288000000518400000012---0.530--12.595%
2016-05-06T19:43:17Jocelyn LaroucheManual testing2880000001000000000012---0.780--13.622%
2017-07-25T11:55:43mikrS0571200000000096000000000012---60.76--22.390%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-29T00:00:00ANONYMOUSv4_computers252253--0.018--
2000-03-08T00:00:00ANONYMOUSv4_computers253254--0.036--
2000-10-15T00:00:00ANONYMOUSv4_computers21256--0.286--
2002-12-02T00:00:00ANONYMOUSv4_computers21257--0.571--
2016-02-23T04:50:45LaurVManual testing257258--0.571--
2009-01-13T01:29:00Sturle Sundekinner.ifi258259--1.143--
2009-02-05T04:04:00Sturle Sundebruch.ifi259260--2.285--
2010-06-08T08:53:00Architects Cubedi4l_1260261--4.571--
2012-08-25T13:38:00bcp19Manual testing261262--9.142--
2016-11-27T06:02:15Sid & AndyWoody262263--29.22--
2018-06-15T19:23:02YxinityManual testing263264--58.43--
2018-06-14T02:47:03YxinityYGSMainFrame263264--58.43--
2019-11-20T16:57:30YxinityManual testing264265--111.2--
2019-11-20T10:00:52YxinityYGSMainFrame264265--111.2--


ECM factoring results:

Old Calculation Method

Total ECM effort:348.613 GHz-days
Estimated T-Level:40.614
DigitsB1CurvesCompleteFacMiss
20110005445 / 10054.4500.000%
25500005445 / 28019.4460.000%
302500005445 / 6408.5080.020%
3510000005445 / 15803.4463.183%
4030000005134 / 47001.09233.539%
45110000001192 / 97000.12388.436%

New Calculation Method

Total ECM effort:348.613 GHz-days
Estimated T-Level:40.614
DigitsB1CompleteFacMiss
20110001,130.8290.000%
2550000295.9330.000%
3025000061.2550.000%
35100000010.5300.003%
4030000001.53121.625%
45110000000.19582.264%
50440000000.02297.786%
551100000000.00299.768%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000003114.272
30000003000000003,542146.0
300000040000000040018.27
11000000110000000060190.81
11000000110000000059189.30


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:58:00MadPooManual testingE8ABEF4AF21E4F402.21207e-5


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-02T20:40:06Xyzzy3950X
1765415515418356984100934995127620073644515769
B829FF3C8CF4E328no
2020-09-03T22:44:57kutenshadar
1765415515418356984100934995127620073644515769
B829FF3C8CF4E328no


P-1 factor-bounds graph:
B1 = 12000000000, B2 = 960000000000 (P-1 stage 2)
B1 = 12000000000 (P-1 stage 1)
B1 = 288000000, B2 = 10000000000 (P-1 stage 2)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 288000000, B2 = 5184000000 (P-1 stage 2)
B1 = 200000000, B2 = 3600000000 (P-1 stage 2)
B1 = 288000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 81148964 (P-1 stage 1)
B1 = 54099309 (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 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
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 = 524288 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-22T17:04:05+00:00