is 2 665089 - 1
has 200212 decimal digits
takes 0.010 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBA46177E8BC453__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26744.676670.1493%1000000300000000.05685.5250%44.733471.7985%1.6493%
PrimeNet2400.000050.0000%65002400000.000421.1208%0.000460.5604%10.5604%
GPU722440.000054.5455%110004000000.000716.0011%0.000761.8187%7.2732%
Difference+23+44.6766+15.6038%+989000+29600000+0.0561-10.4761%+44.7327+9.9798%+9.9798%

Known prime factors (2 factors, 142.4 bits, 0.02140917% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6650896574289531593611258492169.155494241336993516
22 × 3 × 7 × 17 × 346107378847
2007-11-1217346107378847339.66415.45775.95
665089111126298348690956157372373.2358354242691481212
22 × 163 × 241 × 53167035941
2015-09-18241531670359415,025.263.820119.20

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
665089730576459918547362433879226822127820188571343142.390
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.193%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.415%
2002-03-10T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.752%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.228%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.849%
2002-10-12T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.610%
2003-06-06T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.499%
unknown100000030000000---0.057--5.525%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-01T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:02:34LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.014--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.029--
2003-10-23T00:00:00ANONYMOUSv4_computers21258--0.058--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.559 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:8.559 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002604.442
500005000000210.359
25000025000000443.758


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-10T00:00:00ANONYMOUSv4_computersBA46177E8BC453__0.010


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T14:25:04Oliver KruseGTX-2
657428953159361125849
11112629834869095615737
6D3471AB04CAB753no
2017-09-28T09:44:41Oliver KruseManual testing
657428953159361125849
11112629834869095615737
6D3471AB04CAB7__no
2017-09-30T15:28:34alpertronManual testing
657428953159361125849
11112629834869095615737
6D3471AB04CAB7__no
2017-12-08T05:15:35ATHxps
657428953159361125849
11112629834869095615737
6D3471AB04CAB7__no
2020-04-20T00:00:14Oliver KruseAddPrpType5
657428953159361125849
11112629834869095615737
6E91EDA74DD679__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
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)
100
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102
103
104
105
106
100
101
102
103
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109
1010
1011
1012
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
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2100
Last modified: 2022-03-07T09:02:34+00:00