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)
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
TF factor-bounds graph:
267
265
264
263
262
261
260
259
258
257
256
254
253
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
Last modified: 2021-12-22T17:04:05+00:00