is 2 454109 - 1
has 136701 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L09F266CC5B3A981Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26765.433471.6418%100000004000000000.53379.6520%65.967174.3789%2.7371%
PrimeNet2400.000052.5000%45001500000.000218.3772%0.000261.2292%8.7292%
GPU722440.000056.8182%80002400000.000413.6672%0.000462.7199%5.9018%
Difference+23+65.4334+14.8236%+9992000+399760000+0.5333-4.0152%+65.9667+11.6590%+11.6590%

Known prime factors (1 factor, 77.7 bits, 0.01711364% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4541092479841290554370222151932477.715273044719500645244
22 × 19 × 3135809 × 1145699141
2014-03-253135809114569914187,5941.11661.9910

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-08T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.484%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.728%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.457%
2009-08-28T12:16:00Carsten Kossendeyleela454109454109---0.008--1.546%
2010-09-26T14:44:00Rob_Deetwopc5000001000000---0.009--2.134%
2010-09-27T13:51:00Rob_Deetwopc10000002000000---0.018--2.784%
2012-09-04T02:25:00markrManual testing10000000400000000---0.534--9.652%
2016-03-17T18:48:22alpertronManual testing300000010000000012---0.141--7.208%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.021--
2002-02-10T00:00:00ANONYMOUSv4_computers21257--0.042--
2004-01-07T00:00:00ANONYMOUSv4_computers21258--0.085--
2022-03-07T07:15:43LordJuliusManual testing258260--0.254--
2011-04-11T09:31:00Sid & AndyBuzz260261--0.338--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.754 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:13.754 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100021.0000.000%
25500002.5947.476%
302500000.24378.413%
3510000000.01898.191%
4030000000.00199.885%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002793.596
25000025000000442.835
250000350000001007.324


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-03T00:00:00ANONYMOUSv4_computers09F266CC5B3A981D0.005


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-25T02:06:27Oliver KruseDoppelherz
247984129055437022215193
81ED37FB50E8BE__no
2017-09-27T07:33:58Oliver KruseManual testing
247984129055437022215193
81ED37FB50E8BE__no
2017-11-09T04:34:30kkmrkkblmbrbkc4.large
247984129055437022215193
81ED37FB50E8BE__no
2020-04-18T19:33:58Oliver KruseAddPrpType5
247984129055437022215193
27C3B29242390B__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 454109 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
261
260
258
257
256
250
260
270
280
290
2100
Last modified: 2022-03-07T07:15:43+00:00