is 2 228841 - 1
has 68889 decimal digits
takes 0.001 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
Actual267129.845373.1343%30000000100708329922204,464.407323.2977%4,594.252579.3934%6.2591%
PrimeNet2400.000055.0000%2400600000.000013.5057%0.000061.0776%6.0776%
GPU722440.000059.0909%40001000000.00019.6595%0.000163.0425%3.9516%
Difference+23+129.8452+14.0434%+29996000+10070832892220+4,464.4072+13.6382%+4,594.2524+16.3509%+2.3075%

Known prime factors (3 factors, 260.2 bits, 0.11369450% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2288412760526435496016107772167.904603153813236268
22 × 3 × 7 × 11243 × 638655389
2014-07-2811243638655389229.590.28320.5288
22884116014088539492579651672270.4403498955287621663
3 × 139 × 8390780066239
2008-02-0113983907800662391,397.73,719.46,946.9
228841474654744353617352381627333076170519337121.83610370841421633740290892526537556
22 × 13 × 181 × 25841 × 715877 × 1890211 × 31511861819
2022-03-201890211315118618196.482e+1113.98326.089

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
22884144207314753643053481621400186068055780475942138.343
22884113102969695217640879530381249235859165064151774200
05664961
58189.740
22884176011631017690438746033603635248475637662194466743
17012231
58192.276
22884120983211682950340216781822967496670239200284108817
41199998097162171491610413487
79260.180
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.676%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.528%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.202%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.003%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.921%
2021-06-22T04:24:46Oliver KruseOllaptop300000003000000000-
skipped known factor: 276052643549601610777
--1.561--12.485%
2022-03-20T06:51:41Oliver KruseThreadripper-PC300000001007083299222037121.8364,4640.0038,92923.298%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.010--
2022-03-07T05:44:22LordJuliusManual testing254255--0.010--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.042--
2002-04-14T00:00:00ANONYMOUSv4_computers21257--0.084--


ECM factoring results:
Total ECM effort:12.663 GHz-days
Estimated T-Level:28.150
DigitsB1CompleteFacMiss
201100043.9240.000%
25500006.1200.220%
302500000.63053.264%
3510000000.05195.029%
4030000000.00399.663%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002801.669
250000250000002808.347
2500003225000070.229
2500003475000070.236
25000036250000351.199
25000038500000280.984


Lucas-Lehmer results:
No L-L results for M228841


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T04:46:35Oliver KruseOllaptopB063B83B57CD79__?
2017-09-22T10:04:43Oliver KruseManual testingB063B83B57CD79__?
2017-10-12T13:26:08kkmrkkblmbrbkc4.xlargeB063B83B57CD79__no
2020-04-17T19:19:18Oliver KruseAddPrpType5
276052643549601610777
1601408853949257965167
A765A3D56D6A10__no
2022-03-20T07:25:15SRJ2877LTOS
276052643549601610777
1601408853949257965167
4746547443536173523816273330761705193
A765A3D56D6A101Dno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (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 = 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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
267
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2120
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Last modified: 2022-09-20T20:05:01+00:00