is 2 2006009 - 1
has 603869 decimal digits
takes 0.132 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB8F78DE81C82CE65double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.812568.6567%40000002000000001.39949.4452%16.211971.6172%2.9604%
PrimeNet2580.019163.7931%80001400000.00142.4803%0.020664.6911%0.8980%
GPU722620.306366.1290%80001100000.00131.2374%0.307666.5482%0.4191%
Difference+5+14.5062+2.5277%+3992000+199890000+1.3981+8.2078%+15.9043+5.0690%+5.0690%

Known prime factors (1 factor, 88.5 bits, 0.00441062% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20060094308854681508711555886930312788.477107398687680581481835
5 × 7 × 151 × 1531 × 117617 × 112851853
2018-12-1611761711285185352,318,4930.59681.0948

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.022%
2002-05-05T00:00:00Jocelyn Larouchev4_computers30003000---0.000--0.040%
2003-01-16T00:00:00ANONYMOUSv4_computers30000547500---0.006--1.424%
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.273%
2010-11-25T01:29:00Jocelyn LaroucheManual testing200600200600---0.019--1.326%
2012-12-10T21:36:00SergiosiManual testing125000012500000---0.178--5.406%
2018-06-26T10:24:51Jocelyn Larouchelow 4M20060092006009---0.191--3.408%
2018-07-02T22:38:24Jocelyn Larouchelow 4M20060098024036012---0.598--7.833%
2018-12-16T10:07:54mikrMSI4000000200000000122788.4771.3990.2642.7999.445%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-26T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:03Mark RoseManual testing258260--0.057--
2009-01-02T23:55:00Sturle Sundebakeng.ifi260261--0.077--
2011-12-23T19:19:00Sebastian HornbostelManual testing261262--0.153--
2013-06-18T06:22:00BloodIceManual testing262263--0.489--
2015-03-12T10:49:00VictordeHollanderManual testing263264--0.979--
2015-03-12T10:49:00VictordeHollanderManual testing264265--1.863--
2015-10-28T09:42:35ramgeisManual testing265266--3.725--
2016-03-14T03:48:35Smok_bmvManual testing266267--7.450--


ECM factoring results:

Old Calculation Method

Total ECM effort:32.238 GHz-days
Estimated T-Level:25.156
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000020 / 6400.03196.921%

New Calculation Method

Total ECM effort:32.238 GHz-days
Estimated T-Level:25.156
DigitsB1CompleteFacMiss
201100010.7310.002%
25500001.06034.638%
302500000.07692.639%
3510000000.00499.554%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028123.78
25000025000000208.461


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-10-29T03:39:36MadPooManual testingB8F78DE81C82CE650.132


PRP results:
dateuseridcompidcofactorsres64PRP
2018-12-16T17:38:10Oliver KruseGTX-7
430885468150871155588693031
4F1642AC5D6F0A__no
2018-12-18T19:54:54arnaudstm-11-010
430885468150871155588693031
4F1642AC5D6F0A7Cno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 2006009, B2 = 80240360 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 2006009 (P-1 stage 1)
B1 = 1250000, B2 = 12500000 (P-1 stage 2)
B1 = 1250000 (P-1 stage 1)
B1 = 200600 (P-1 stage 1)
B1 = 30000, B2 = 547500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 3000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
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105
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107
102
103
104
105
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109
TF factor-bounds graph:
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265
264
263
262
261
260
258
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260
270
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2100
Last modified: 2018-12-18T19:54:54+00:00