is 2 104491 - 1
has 31455 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L40486798E0EF8BD9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267284.368274.6269%10000000020000000000.655811.7614%285.024077.6111%2.9842%
PrimeNet2400.000057.5000%1100190000.00008.1331%0.000060.9566%3.4566%
GPU722440.000061.3636%1400200000.00004.5114%0.000063.1067%1.7430%
Difference+23+284.3682+13.2632%+99998600+1999980000+0.6558+7.2500%+285.0239+14.5044%+14.5044%

Known prime factors (1 factor, 102.7 bits, 0.09831831% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
104491843236635899595502371538899148931102.73440349725617497942520003584
210 × 7 × 132 × 53 × 61 × 1220591 × 8440730159
2016-01-30122059184407301591.258e+121.48552.7676

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00ANONYMOUSv4_computers100000025000000---0.007--4.308%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.324%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.001--1.937%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.677%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.005--3.534%
2012-11-29T12:48:00alpertronManual testing1000000002000000000---0.656--11.761%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14T00:00:00ANONYMOUSv4_computers252253--0.006--
1999-12-30T00:00:00ANONYMOUSv4_computers253254--0.011--
2000-12-07T00:00:00ANONYMOUSv4_computers21255--0.046--
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.092--
2002-04-28T00:00:00ANONYMOUSv4_computers21257--0.184--
2022-04-14T16:23:43LordJuliusManual testing21257--0.184--
2016-02-23T16:27:55Mark RoseManual testing257258--0.184--
2022-04-14T16:23:43LordJuliusManual testing257258--0.184--
2009-01-05T18:16:00Sturle Sundebruch.ifi258259--0.367--
2022-04-14T16:23:43LordJuliusManual testing258259--0.367--
2009-01-25T05:34:00Sturle Sundeletov.ifi259260--0.735--
2022-04-14T16:23:43LordJuliusManual testing259260--0.735--
2013-11-28T00:57:00Sid & AndyBuzz260261--1.470--
2022-04-14T16:23:43LordJuliusManual testing260261--1.470--
2015-08-13T13:31:00NRManual testing261262--2.940--
2022-04-14T16:23:43LordJuliusManual testing261262--2.940--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.432 GHz-days
Estimated T-Level:30.684
DigitsB1CurvesCompleteFacMiss
20110001193 / 10011.9300.001%
25500001193 / 2804.2611.401%
30250000768 / 6401.20030.091%
351000000216 / 15800.13787.219%

New Calculation Method

Total ECM effort:17.432 GHz-days
Estimated T-Level:30.684
DigitsB1CompleteFacMiss
201100090.5670.000%
255000014.0610.000%
302500001.75417.306%
3510000000.18183.460%
4030000000.01698.429%
45110000000.00199.878%


ECM Summary

B1B2factorcurvesGHz-days
5000050000004250.987
250000250000005526.411
10000001000000002139.89
100000010000000030.139


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-02-23T00:00:00ANONYMOUSv4_computers40486798E0EF8BD90.000


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:59:59Oliver KruseOllaptop
8432366358995955023715388991489
6E8F2A0BEC8CC5__no
2017-09-21T21:30:34Oliver KruseManual testing
8432366358995955023715388991489
6E8F2A0BEC8CC5__no
2017-10-13T09:55:49kkmrkkblmbrbkManual testing
8432366358995955023715388991489
6E8F2A0BEC8CC5__no
2020-04-17T15:30:34Oliver KruseAddPrpType5
8432366358995955023715388991489
BA64E015B14570__no
2022-04-15T06:52:49LordJuliusWhiteBox
8432366358995955023715388991489
BA64E015B145706Fno


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
2110
Last modified: 2022-04-15T06:52:49+00:00