is 2 563039 - 1
has 169492 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-L0724FB8CEB9DE4__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26752.774270.1493%1500000018150000002.390912.1767%55.165173.7841%3.6348%
PrimeNet2400.000050.0000%55002000000.000319.9719%0.000359.9860%9.9860%
GPU722440.000054.5455%100003400000.000615.1740%0.000661.4427%6.8973%
Difference+23+52.7742+15.6038%+14990000+1814660000+2.3903-2.9973%+55.1645+12.3414%+12.3414%

Known prime factors (1 factor, 77.3 bits, 0.01373417% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5630391897889374475210725970892477.329168539779169401296
24 × 3 × 19 × 184802389440133
2007-08-201918480238944013386,556212,908397,652

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-31T00:00:00Alex Kruppav4_computers200040000---8.60708e-5--0.107%
2001-07-17T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.543%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.188%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.795%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.542%
2003-05-19T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.417%
2021-08-28T10:32:11ViliamF3150000001815000000---2.391--12.177%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-05T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:24LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.017--
2002-01-15T00:00:00ANONYMOUSv4_computers21257--0.034--
2003-12-02T00:00:00ANONYMOUSv4_computers21258--0.068--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.199 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.199 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002814.547
2500002500000014411.65


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-05-25T00:00:00ANONYMOUSv4_computers0724FB8CEB9DE4__0.008


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T11:07:27Oliver KruseGTX-2
189788937447521072597089
58770168601CED__no
2017-09-28T09:43:17Oliver KruseManual testing
189788937447521072597089
58770168601CED__no
2017-11-07T06:54:22kkmrkkblmbrbkc4.xlarge
189788937447521072597089
58770168601CED__no
2020-04-19T07:42:10Oliver KruseAddPrpType5
189788937447521072597089
C36EBEFE5110C9__no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1815000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 40000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T08:27:24+00:00