is 2 689807 - 1
has 207653 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L09336C5595278A8Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26743.075770.1493%125000006000000001.289010.6996%44.364773.3432%3.1939%
PrimeNet2400.000050.0000%65002600000.000621.4393%0.000660.7197%10.7197%
GPU722440.000054.5455%110004000000.000916.0692%0.000961.8496%7.3042%
Difference+23+43.0757+15.6038%+12489000+599600000+1.2880-5.3696%+44.3637+11.4935%+11.4935%

Known prime factors (1 factor, 93.5 bits, 0.01355611% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
689807141128188918786137357467521032993.51110229541663014882232093
32 × 37 × 503 × 2887 × 928231 × 22789831
2015-07-14928231227898313.533e+90.06140.0672

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.195%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.418%
2002-03-16T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.758%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.237%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.861%
2002-10-26T00:00:00ANONYMOUSv4_computers655366553600---0.012--2.625%
2003-06-23T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.517%
2011-07-15T20:51:00Jocelyn LaroucheManual testing322616322616---0.009--1.406%
2011-09-18T03:00:00Jocelyn LaroucheManual testing537694537694---0.016--1.778%
2012-08-29T21:06:00Jocelyn LaroucheManual testing13796141379614---0.040--2.598%
2015-03-29T20:50:00Jocelyn LaroucheManual testing15175751517575---0.044--2.691%
2015-04-08T16:59:00Jocelyn LaroucheManual testing16693321669332---0.048--2.785%
2015-05-01T17:21:00Jocelyn LaroucheManual testing20198912019891---0.058--2.980%
2015-05-22T00:28:00Jocelyn LaroucheManual testing22218802221880---0.064--3.079%
2015-05-26T18:17:00Jocelyn LaroucheManual testing24440682444068---0.071--3.181%
2015-06-08T13:43:00Jocelyn LaroucheManual testing26884742688474---0.078--3.284%
2015-06-25T21:15:00Jocelyn LaroucheManual testing29573212957321---0.086--3.389%
2015-07-07T18:13:00Jocelyn LaroucheManual testing32530533253053---0.094--3.495%
2015-07-14T06:27:00mikrMSI12500000600000000122993.5111.2890.0282.57810.700%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-02-16T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:21:19LordJuliusManual testing254255--0.003--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.014--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.028--
2003-10-08T00:00:00ANONYMOUSv4_computers21258--0.056--
2008-10-12T11:07:00Sturle Sundeherrick.ifi258259--0.056--
2008-10-12T11:42:00Sturle Sundeherrick.ifi259260--0.111--
2010-06-06T19:30:00Architects Cubedm1_fw260261--0.223--
2015-05-19T21:39:00lycornManual testing261262--0.445--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.285 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.285 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002816.330
25000025000000444.956


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:44:00MadPooManual testing09336C5595278A8D0.014


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T15:27:22Oliver KruseGTX-1
14112818891878613735746752103
4DA1FEE43A8F6F__no
2017-09-28T09:45:09Oliver KruseManual testing
14112818891878613735746752103
4DA1FEE43A8F6F__no
2017-11-09T02:35:25kkmrkkblmbrbkc4.large
14112818891878613735746752103
4DA1FEE43A8F6F__no
2020-04-20T04:42:33Oliver KruseAddPrpType5
14112818891878613735746752103
EC795157B8EE96__no


P-1 factor-bounds graph:
B1 = 12500000, B2 = 600000000 (P-1 stage 2)
B1 = 12500000 (P-1 stage 1)
B1 = 3253053 (P-1 stage 1)
B1 = 2957321 (P-1 stage 1)
B1 = 2688474 (P-1 stage 1)
B1 = 2444068 (P-1 stage 1)
B1 = 2221880 (P-1 stage 1)
B1 = 2019891 (P-1 stage 1)
B1 = 1669332 (P-1 stage 1)
B1 = 1517575 (P-1 stage 1)
B1 = 1379614 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 537694 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 322616 (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 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
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102
103
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109
TF factor-bounds graph:
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261
260
259
258
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254
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2100
Last modified: 2022-03-07T09:21:19+00:00