is 2 566707 - 1
has 170596 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDF68A7CFCE5BB5__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26752.432670.1493%1500000500000000.08766.1830%52.520271.9949%1.8457%
PrimeNet2400.000050.0000%55002000000.000319.9867%0.000359.9934%9.9934%
GPU722440.000054.5455%100003400000.000615.1859%0.000661.4481%6.9027%
Difference+23+52.4326+15.6038%+1490000+49660000+0.0870-9.0028%+52.5196+10.5468%+10.5468%

Known prime factors (1 factor, 86.0 bits, 0.01517183% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
566707762972100559253926037613692685.98067316276361440208612
22 × 3 × 97217293 × 57702591007
2008-01-21972172935770259100716,735,79668.422124.16

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.184%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.398%
2002-03-03T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.726%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.189%
2002-05-11T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.542%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.797%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.545%
2003-05-19T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.421%
unknown150000050000000---0.088--6.183%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-05T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:29LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.017--
2002-01-22T00:00:00ANONYMOUSv4_computers21257--0.034--
2003-12-02T00:00:00ANONYMOUSv4_computers21258--0.068--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.296 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000423 / 1004.2301.425%
2550000423 / 2801.51122.016%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:17.296 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100024.7310.000%
25500003.1284.382%
302500000.30074.084%
3510000000.02397.713%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002794.517
25000025000000443.562
250000350000001009.217


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-06-09T00:00:00ANONYMOUSv4_computersDF68A7CFCE5BB5__0.008


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T11:14:41Oliver KruseGTX-3
76297210055925392603761369
FFF909DA3B3B1F__no
2017-09-28T09:43:24Oliver KruseManual testing
76297210055925392603761369
FFF909DA3B3B1F__no
2017-11-07T17:09:57kkmrkkblmbrbkc4.xlarge
76297210055925392603761369
FFF909DA3B3B1F__no
2020-04-19T08:02:34Oliver KruseAddPrpType5
76297210055925392603761369
163E6E5E3041BC__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (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 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
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
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T08:27:29+00:00