is 2 333023 - 1
has 100250 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2F7B043B6CAF0D50double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26789.224871.6418%6000000030000000002.270313.2190%91.495175.3905%3.7487%
PrimeNet2400.000052.5000%34001000000.000116.1637%0.000160.1778%7.6778%
GPU722440.000056.8182%60001700000.000211.9602%0.000261.9828%5.1646%
Difference+23+89.2248+14.8236%+59994000+2999830000+2.2701+1.2588%+91.4950+13.4077%+13.4077%

Known prime factors (1 factor, 91.6 bits, 0.02750093% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33302337124634607561680610876790712891.5845573884477582881754545
3 × 5 × 22189 × 43046867 × 389033881
2016-08-02430468673890338811.638e+90.63820.9033

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-06-09T00:00:00ANONYMOUSv4_computers10000010000000---0.007--2.831%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.635%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.339%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.171%
2006-01-15T00:00:00Jocelyn Larouchev4_computers333023333023---0.003--1.269%
2011-08-09T21:59:00Jocelyn LaroucheManual testing13822601382260---0.014--2.355%
2012-01-06T00:31:00alpertronManual testing10000000200000000---0.210--8.474%
2016-08-02T14:12:18mikrS052600000003000000000122891.5842.2700.0054.54113.219%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:37LordJuliusManual testing254255--0.007--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.029--
2002-03-03T00:00:00ANONYMOUSv4_computers21257--0.058--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.115--
2008-12-29T23:01:00Sturle Sundetristan.ifi258259--0.115--
2009-01-25T11:20:00Sturle Sundegimba.ifi259260--0.231--
2013-04-15T22:01:00Sid & AndyBuzz260261--0.461--
2015-07-23T22:22:00NRManual testing261262--0.922--
2015-12-10T01:50:07Gordon SpenceManual testing262263--2.948--
2015-12-10T01:50:07Gordon SpenceManual testing263264--5.895--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.733 GHz-days
Estimated T-Level:26.180
DigitsB1CurvesCompleteFacMiss
2011000419 / 1004.1901.483%
2550000419 / 2801.49622.333%
30250000151 / 6400.23678.968%

New Calculation Method

Total ECM effort:7.733 GHz-days
Estimated T-Level:26.180
DigitsB1CompleteFacMiss
201100020.7520.000%
25500002.5158.082%
302500000.23479.147%
3510000000.01898.257%
4030000000.00199.889%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002682.053
2500005000000100.280
250000250000001415.400


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-06-09T00:00:00ANONYMOUSv4_computers2F7B043B6CAF0D500.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T20:43:15Oliver KruseOllaptop
3712463460756168061087679071
8A6EF3A3060C66__no
2017-09-23T17:10:55Oliver KruseManual testing
3712463460756168061087679071
8A6EF3A3060C66__no
2017-10-13T02:45:04Oliver KruseGTX-08A6EF3A3060C66__no
2017-12-12T14:46:32ATHxps
3712463460756168061087679071
8A6EF3A3060C66__no
2020-04-18T15:10:12Oliver KruseAddPrpType5
3712463460756168061087679071
084D85C77AC6B3__no


P-1 factor-bounds graph:
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1382260 (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 = 333023 (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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108
103
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105
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1010
TF factor-bounds graph:
267
264
263
262
261
260
259
258
257
256
255
254
250
260
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2100
Last modified: 2022-03-07T06:36:37+00:00