is 2 338993 - 1
has 102048 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-LDE7EFB0E490EFD88double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26787.653571.6418%100000002000000000.20988.4875%87.863374.0487%2.4069%
PrimeNet2400.000052.5000%34001000000.000116.2013%0.000160.1956%7.6956%
GPU722440.000056.8182%60001700000.000211.9899%0.000261.9956%5.1774%
Difference+23+87.6535+14.8236%+9994000+199830000+0.2097-3.5024%+87.8632+12.0531%+12.0531%

Known prime factors (1 factor, 82.9 bits, 0.02445974% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33899391293993658116033569475592582.91713465468853061277603
19 × 581150519 × 1219492823
2015-12-0158115051912194928234,004,4286.350912.195

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.640%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.345%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.179%
2006-01-15T00:00:00Jocelyn Larouchev4_computers338993338993---0.003--1.284%
2011-08-09T21:59:00Jocelyn LaroucheManual testing13507801350780---0.014--2.340%
2012-02-03T22:14:00alpertronManual testing10000000200000000---0.210--8.488%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-24T18:50:46George WoltmanManual testing1000000083000000027--0.608


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:45LordJuliusManual testing254255--0.007--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.028--
2002-02-24T00:00:00ANONYMOUSv4_computers21257--0.057--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.113--
2008-12-30T22:21:00Sturle Sundescarpia.ifi258259--0.113--
2009-01-27T05:43:00Sturle Sundeghirardelli.ifi259260--0.227--
2013-05-18T04:57:00Sid & AndyBuzz260261--0.453--
2015-07-25T08:48:00NRManual testing261262--0.906--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.665 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:7.665 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100021.0320.000%
25500002.5517.798%
302500000.23878.858%
3510000000.01898.228%
4030000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.146
250000250000001435.481
2500002500000010.038


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-15T00:00:00ANONYMOUSv4_computersDE7EFB0E490EFD880.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T21:56:49Oliver KruseDoppelherz
9129399365811603356947559
CE985E43FEF257__no
2017-09-24T17:46:03Oliver KruseManual testing
9129399365811603356947559
CE985E43FEF257__no
2017-09-30T15:30:36alpertronManual testing
9129399365811603356947559
CE985E43FEF257__no
2017-12-07T06:27:40ATHxps
9129399365811603356947559
CE985E43FEF257__no
2020-04-18T15:11:58Oliver KruseAddPrpType5
9129399365811603356947559
09F401C9DF7632__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1350780 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 338993 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
109
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
262
261
260
259
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T06:36:45+00:00