is 2 2003279 - 1
has 603048 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-LF090ACC1B29AAB8Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.832668.6567%500000150000000.12305.1241%14.955670.2628%1.6061%
PrimeNet2580.019263.7931%80001400000.00142.4796%0.020664.6909%0.8978%
GPU722620.306766.1290%80001100000.00131.2371%0.308066.5480%0.4190%
Difference+5+14.5260+2.5277%+492000+14890000+0.1217+3.8870%+14.6477+3.7147%+3.7147%

Known prime factors (1 factor, 63.4 bits, 0.00316286% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2003279118455785518524390892063.3612956547378536
23 × 433 × 853506749
2009-09-034338535067490.82564.43348.2802

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.022%
2002-04-28T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.058%
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.273%
2006-01-15T00:00:00Jocelyn Larouchev4_computers60006000---0.001--0.094%
2006-01-15T00:00:00Jocelyn Larouchev4_computers1000010000---0.001--0.160%
2007-04-23T00:00:00markrv4_computers1000002000000---0.019--2.636%
2016-03-17T19:19:24alpertronManual testing5000001500000012---0.123--5.124%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-02T00:00:00slaurv4_computers21258--0.019--
2022-03-09T07:16:44LordJuliusManual testing21260--0.077--
2009-01-03T01:09:00Sturle Sundeakerman.ifi260261--0.077--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.069 GHz-days
Estimated T-Level:2.250
DigitsB1CurvesCompleteFacMiss
201100045 / 1000.45063.619%
255000045 / 2800.16185.129%

New Calculation Method

Total ECM effort:4.069 GHz-days
Estimated T-Level:2.250
DigitsB1CompleteFacMiss
20110001.78616.756%
25500000.16684.671%
302500000.01198.952%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000242.030
50000632281770.656
50000699027970.688
50000715000070.695


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00slaurv4_computersF090ACC1B29AAB8B0.132


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T19:32:42Oliver KruseGTX-3
11845578551852439089
58436BA81611FD__no
2017-11-13T08:25:20kkmrkkblmbrbkc4.xlarge
11845578551852439089
58436BA81611FD__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 2000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 6000 (P-1 stage 1)
B1 = 4000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
260
258
250
260
270
280
290
2100
Last modified: 2022-07-18T10:04:55+00:00