is 2 110581 - 1
has 33289 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267268.707374.6269%10000000020000000000.770511.8104%269.477877.6235%2.9967%
PrimeNet2400.000057.5000%1200220000.00008.6760%0.000061.1873%3.6873%
GPU722440.000061.3636%1600240000.00004.9811%0.000063.2881%1.9245%
Difference+23+268.7072+13.2632%+99998400+1999976000+0.7705+6.8294%+269.4778+14.3354%+14.3354%

Known prime factors (1 factor, 71.5 bits, 0.06465381% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11058133272701095583230799272271.49515044492768008623
3 × 5014830922669541
2008-01-13350148309226695415,112.51,034,4481,932,061

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-01-08T00:00:00ANONYMOUSv4_computers100000025000000---0.009--4.337%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.338%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--1.955%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.699%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.006--3.561%
2006-02-01T00:00:00Jocelyn Larouchev4_computers20000002000000---0.008--2.334%
2016-12-17T01:33:48kkmrkkblmbrbkManual testing100000000200000000012---0.771--11.810%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-02-03T00:00:00Michael Kennv4_computers??71.49522789.20.0011,633
1999-09-14T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.022--
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.087--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.087--
2002-05-05T00:00:00ANONYMOUSv4_computers21257--0.174--
2018-10-27T23:12:11J.R. AllenManual testing21257--0.174--
2022-05-08T07:27:39LordJuliusManual testing21257--0.174--
2022-05-08T07:27:39LordJuliusManual testing257258--0.174--
2022-05-08T07:27:39LordJuliusManual testing258259--0.347--
2022-05-08T07:27:39LordJuliusManual testing259260--0.694--
2022-05-08T07:27:39LordJuliusManual testing260261--1.389--
2022-05-08T07:27:39LordJuliusManual testing261262--2.778--
2022-05-08T07:27:39LordJuliusManual testing262263--8.877--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.436 GHz-days
Estimated T-Level:30.268
DigitsB1CurvesCompleteFacMiss
2011000990 / 1009.9000.005%
2550000940 / 2803.3573.463%
30250000677 / 6401.05834.693%
35100000084 / 15660.05494.776%

New Calculation Method

Total ECM effort:13.436 GHz-days
Estimated T-Level:30.268
DigitsB1CompleteFacMiss
201100078.4750.000%
255000012.1070.001%
302500001.41524.297%
3510000000.13587.389%
4030000000.01198.914%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
110001100000500.030
5000050000002630.718
250000250000005938.099
1000000100000000844.589


Lucas-Lehmer results:
No L-L results for M110581


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T21:08:42Oliver KrusePRP
3327270109558323079927
3DA5FEDFAD795E__no
2017-09-21T21:30:40Oliver KruseManual testing
3327270109558323079927
3DA5FEDFAD795E__no
2017-10-13T11:39:38kkmrkkblmbrbkManual testing
3327270109558323079927
3DA5FEDFAD795E__no
2020-04-17T15:32:00Oliver KruseAddPrpType5
3327270109558323079927
75C9B248C97C10__no
2022-04-15T07:11:16LordJuliusWhiteBox
3327270109558323079927
75C9B248C97C1022no


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 = 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: 2022-05-08T07:27:39+00:00