is 2 236021 - 1
has 71050 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L948D4A64CC3A5572double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267125.895273.1343%30000000101202470268904,486.311423.3433%4,612.206679.4057%6.2713%
PrimeNet2400.000055.0000%2400650000.000013.7701%0.000061.1966%6.1966%
GPU722440.000059.0909%45001000000.00019.8751%0.000163.1307%4.0398%
Difference+23+125.8952+14.0434%+29995500+10120246926890+4,486.3113+13.4682%+4,612.2065+16.2750%+16.2750%

Known prime factors (1 factor, 88.9 bits, 0.03768680% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2360215973717373910334522224607112788.9491265505479154468145255
5 × 101 × 396208229 × 6324834419
2012-01-083962082296324834419520,553,7655.85166.5606

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-10-07T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.224%
2001-06-09T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.688%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.537%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.213%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.017%
2003-10-31T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.937%
2011-01-31T22:39:00Jocelyn LaroucheManual testing20000002000000---0.016--2.581%
2011-07-24T13:12:00Jocelyn LaroucheManual testing21600412160041---0.018--2.654%
2021-07-08T12:29:00Oliver KruseOllaptop30000000300000000024---1.561--12.514%
2022-03-31T22:15:18Oliver KruseThreadripper-PC3000000010120247026890---4,486--23.343%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.010--
2022-03-07T05:44:40LordJuliusManual testing254255--0.010--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.041--
2002-04-14T00:00:00ANONYMOUSv4_computers21257--0.081--
2022-03-07T05:44:40LordJuliusManual testing257258--0.081--
2008-12-31T18:43:00Sturle Sundefizir.ifi258259--0.163--
2009-01-23T07:17:00Sturle Sundekorsmo.ifi259260--0.325--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.613 GHz-days
Estimated T-Level:27.602
DigitsB1CurvesCompleteFacMiss
2011000614 / 1006.1400.209%
2550000614 / 2802.19311.116%
30250000333 / 6400.52059.409%

New Calculation Method

Total ECM effort:11.613 GHz-days
Estimated T-Level:27.602
DigitsB1CompleteFacMiss
201100041.0800.000%
25500005.6900.338%
302500000.58155.936%
3510000000.04795.426%
4030000000.00399.691%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002811.677
250000250000003339.94


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-09-10T00:00:00ANONYMOUSv4_computers948D4A64CC3A55720.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T05:32:45Oliver KruseOllaptop
597371737391033452222460711
E6EC37821614B9__no
2017-09-22T10:05:14Oliver KruseManual testing
597371737391033452222460711
E6EC37821614B9__no
2017-10-12T15:19:19kkmrkkblmbrbkc4.xlargeE6EC37821614B9__no
2020-04-17T20:05:10Oliver KruseAddPrpType5
597371737391033452222460711
FB4CA004C87941__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 2160041 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
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 = 100000, B2 = 4000000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
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103
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109
1010
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1014
TF factor-bounds graph:
267
260
259
258
257
256
255
254
253
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2100
Last modified: 2022-03-31T22:15:18+00:00