is 2 259421 - 1
has 78094 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-L05A50BC4EE7724__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267114.539473.1343%30000000100358126969105,417.947323.4542%5,532.486679.4355%6.3011%
PrimeNet2400.000055.0000%2600700000.000114.2805%0.000161.4262%6.4262%
GPU722440.000059.0909%50001200000.000110.5484%0.000163.4062%4.3153%
Difference+23+114.5394+14.0434%+29995000+10035812576910+5,417.9472+12.9058%+5,532.4865+16.0293%+16.0293%

Known prime factors (1 factor, 60.3 bits, 0.02325786% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25942114550516061462992231960.3362804421396391
1867 × 1502100373
2007-08-17186715021003730.74980.81091.5145

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-01-08T00:00:00ANONYMOUSv4_computers950003800000---0.003--2.205%
2001-06-17T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.727%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.563%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.247%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.058%
2003-11-08T00:00:00ANONYMOUSv4_computers26214426214400---0.017--3.986%
2021-09-06T02:54:06Oliver KruseOllaptop30000000300000000024-
skipped known factor: 1455051606146299223
--1.901--12.603%
2022-05-01T12:28:31Oliver KruseThreadripper-PC3000000010035812696910-
skipped known factor: 1455051606146299223
--5,418--23.454%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2001-01-08T00:00:00ANONYMOUSv4_computers21255--0.019--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.037--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.074--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.764 GHz-days
Estimated T-Level:27.297
DigitsB1CurvesCompleteFacMiss
2011000575 / 1005.7500.309%
2550000575 / 2802.05412.781%
30250000294 / 6400.45963.145%

New Calculation Method

Total ECM effort:12.764 GHz-days
Estimated T-Level:27.297
DigitsB1CompleteFacMiss
201100037.5350.000%
25500005.1410.585%
302500000.52059.434%
3510000000.04295.918%
4030000000.00399.726%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.048
2500002500000029410.72


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-20T00:00:00ANONYMOUSv4_computers05A50BC4EE7724__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T08:15:21Oliver KruseOllaptop
1455051606146299223
D91BBA79926ECE__no
2017-09-22T10:06:48Oliver KruseManual testing
1455051606146299223
D91BBA79926ECE__no
2017-10-12T17:24:09Oliver KruseGTX-0D91BBA79926ECE__no
2017-11-06T17:13:38kkmrkkblmbrbkc4.xlarge
1455051606146299223
D91BBA79926ECE__no
2020-04-17T20:17:36Oliver KruseAddPrpType5
1455051606146299223
FF33E26FF9DB58__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10035812696910 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 95000, B2 = 3800000 (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 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-05-01T12:28:31+00:00