is 2 109849 - 1
has 33068 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-LC48A7AA9CE9565BEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267270.497874.6269%10000000020000000000.770511.8047%271.268477.6221%2.9952%
PrimeNet2400.000057.5000%1200220000.00008.6650%0.000061.1826%3.6826%
GPU722440.000061.3636%1500240000.00004.8922%0.000063.2538%1.8902%
Difference+23+270.4978+13.2632%+99998500+1999976000+0.7705+6.9125%+271.2684+14.3683%+14.3683%

Known prime factors (1 factor, 93.1 bits, 0.08473370% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
109849104618433360423636968749284172993.07947619201522282240606992
24 × 11686144837 × 254677666301
2009-11-04116861448372546776663013.380e+1094.36998.120

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-01-08T00:00:00ANONYMOUSv4_computers100000025000000---0.009--4.334%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.337%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--1.953%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.697%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.006--3.558%
2006-02-01T00:00:00Jocelyn Larouchev4_computers20000002000000---0.008--2.332%
2009-05-26T19:34:00Roman MaznichenkoManual testing100000001000000000---0.242--9.635%
2016-12-10T20:43:47kkmrkkblmbrbkManual testing100000000200000000012---0.771--11.805%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.022--
2022-03-07T02:02:55LordJuliusManual testing254255--0.022--
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.087--
2002-05-05T00:00:00ANONYMOUSv4_computers21257--0.175--
2022-03-07T02:02:55LordJuliusManual testing257258--0.175--
2009-01-02T07:13:00Sturle Sundeaalto.ifi258259--0.350--
2009-01-25T13:24:00Sturle Sundewright.ifi259260--0.699--
2022-05-08T07:27:14LordJuliusManual testing260261--1.398--
2022-05-08T07:27:14LordJuliusManual testing261262--2.796--
2022-05-08T07:27:14LordJuliusManual testing262263--8.936--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.885 GHz-days
Estimated T-Level:30.278
DigitsB1CurvesCompleteFacMiss
2011000733 / 1007.3300.063%
2550000733 / 2802.6187.262%
30250000670 / 6401.04735.075%
35100000087 / 15660.05694.594%

New Calculation Method

Total ECM effort:12.885 GHz-days
Estimated T-Level:30.278
DigitsB1CompleteFacMiss
201100069.9230.000%
255000011.3350.001%
302500001.36925.429%
3510000000.13387.520%
4030000000.01198.911%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000630.172
250000250000005837.961
1000000100000000874.752


Lucas-Lehmer results:
No L-L results for M109849


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T21:07:26Oliver KrusePRP
10461843336042363696874928417
10991CF71EB313__no
2017-09-21T21:30:39Oliver KruseManual testing
10461843336042363696874928417
10991CF71EB313__no
2017-10-13T09:56:09kkmrkkblmbrbkManual testing
10461843336042363696874928417
10991CF71EB313__no
2020-04-17T15:30:03Oliver KruseAddPrpType5
10461843336042363696874928417
D3BF52441D55F1__no
2022-04-15T07:06:17LordJuliusWhiteBox
10461843336042363696874928417
D3BF52441D55F12Bno


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 10000000, B2 = 1000000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
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)
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TF factor-bounds graph:
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Last modified: 2022-05-08T07:27:14+00:00