is 2 280487 - 1
has 84436 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9BB067CD17EE089Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267105.936971.6418%53450002031100000.15978.0288%106.096673.9186%2.2768%
PrimeNet2400.000052.5000%3000800000.000115.0155%0.000159.6324%7.1324%
GPU722440.000056.8182%50001300000.000110.8419%0.000161.4999%4.6817%
Difference+23+105.9369+14.8236%+5340000+202980000+0.1596-2.8131%+106.0965+12.4187%+12.4187%

Known prime factors (1 factor, 94.1 bits, 0.03356069% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
280487217254330538575363658200892632994.13338728057011300945080913
3 × 12909352337100315026971
2015-12-223129093523371003150269711.682e+106.969e+121.302e+13

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.364%
2001-04-29T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.285%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.585%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.093%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.027%
2011-02-16T23:34:00Jocelyn LaroucheManual testing20000002000000---0.020--2.641%
2012-02-26T15:18:00Jocelyn LaroucheManual testing21586202158620---0.021--2.714%
2012-05-08T00:04:00Jocelyn LaroucheManual testing51806895180689---0.051--3.634%
2013-11-01T10:37:00David Campeaui5-2500k5345000203110000---0.160--8.029%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T06:11:31LordJuliusManual testing254255--0.009--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.034--
2002-03-16T00:00:00ANONYMOUSv4_computers21257--0.068--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.137--
2009-01-01T23:31:00Sturle Sundejodel.ifi258259--0.137--
2009-01-22T22:08:00Sturle Sundegoldiek.ifi259260--0.274--
2013-06-24T20:14:00lycornasteroid260261--0.548--
2015-08-13T13:31:00NRManual testing261262--1.095--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.930 GHz-days
Estimated T-Level:26.445
DigitsB1CurvesCompleteFacMiss
2011000469 / 1004.6900.897%
2550000469 / 2801.67518.675%
30250000185 / 6400.28974.880%

New Calculation Method

Total ECM effort:8.930 GHz-days
Estimated T-Level:26.445
DigitsB1CompleteFacMiss
201100024.5780.000%
25500003.0724.631%
302500000.29374.576%
3510000000.02397.774%
4030000000.00199.856%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002842.076
250000250000001686.140
2500002500000030.110
25000038500000140.604


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-03T00:00:00ANONYMOUSv4_computers9BB067CD17EE089A0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T11:28:28Oliver KruseOllaptop
21725433053857536365820089263
465CE16B027368__no
2017-09-22T20:36:04Oliver KruseManual testing
21725433053857536365820089263
465CE16B027368__no
2017-10-13T05:21:54kkmrkkblmbrbkc4.xlarge465CE16B027368__no
2020-04-17T21:20:36Oliver KruseAddPrpType5
21725433053857536365820089263
5F822DA5236EBB__no


P-1 factor-bounds graph:
B1 = 5345000, B2 = 203110000 (P-1 stage 2)
B1 = 5345000 (P-1 stage 1)
B1 = 5180689 (P-1 stage 1)
B1 = 2158620 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
TF factor-bounds graph:
267
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-04-25T13:12:22+00:00