is 2 229771 - 1
has 69168 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L08F1B0D6EC379061double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267129.319773.1343%13100000054076848926102,398.114324.2938%2,527.434079.6610%
Target2440.000059.0909%40001000000.00019.6657%0.000163.0451%
Difference+23+129.3197+14.0434%+130996000+5407684792610+2,398.1142+14.6281%+2,527.4339+16.6160%

Known prime factors (1 factor, 113.2 bits, 0.04924896% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2297711160117085289594724333282927613746335113.16025245071947495435114380903761
113 × 977977657159 × 228438466578583
2023-01-279779776571592284384665785837.825e+11108,785189,129

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20ANONYMOUSv4_computers10000010000000---0.005--2.677%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.529%
2002-08-03ANONYMOUSv4_computers655366553600---0.003--2.203%
2003-02-24ANONYMOUSv4_computers13107213107200---0.007--3.005%
2003-10-23ANONYMOUSv4_computers26214426214400---0.014--3.923%
2011-07-24Jocelyn LaroucheManual testing22365292236529---0.018--2.678%
2012-02-17Jocelyn LaroucheManual testing27956612795661---0.023--2.897%
2013-10-11David Campeaui5-2500k286000080080000---0.057--6.452%
2016-01-08Jocelyn LaroucheManual testing3805401638054016012---0.461--9.594%
2016-06-30Jocelyn LaroucheManual testing3805401676108032012---0.630--10.624%
2019-04-26Alexhome100000000200000000012---1.656--12.455%
2022-06-05Sid & AndyMagic_8_Ball1310000005407684892610---2,398--24.294%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-01-27masserManual testing300000003000000027P+135113.1600.371
2023-01-28masserManual testing300000003000000015523P+135113.1600.371
2023-01-29masserManual testing300000003000000065P+135113.1600.371


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17ANONYMOUSv4_computers252253--0.003--
2000-04-19ANONYMOUSv4_computers21254--0.010--
2022-03-07LordJuliusManual testing254255--0.010--
2001-02-11ANONYMOUSv4_computers21256--0.042--
2002-04-14ANONYMOUSv4_computers21257--0.084--
2016-02-23Mark RoseManual testing257258--0.084--
2009-01-01Sturle Sundedoak.ifi258259--0.167--
2009-01-29Sturle Sundeeames.ifi259260--0.334--
2013-07-26lycornasteroid260261--0.668--
2015-07-24snme2pm1Manual testing261262--1.337--
2016-01-27Gordon SpenceManual testing262263--4.272--
2016-01-27Gordon SpenceManual testing263264--8.545--
2018-03-04Gordon SpenceManual testing264265--16.26--
2019-12-20Gordon SpenceManual testing265266--32.52--


ECM factoring results:
Total ECM effort:83.862 GHz-days
Estimated T-Level:30.945
DigitsB1CompleteFacMiss
201100083.8600.000%
255000014.2220.000%
302500001.81116.342%
3510000000.18982.775%
4030000000.01798.327%
45110000000.00199.869%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002801.670
2500002500000058417.41
1000000143779251010064.78


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01John Sweeney08F1B0D6EC3790610.001
2016-06-01MadPooManual testing08F1B0D6EC3790610.001


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-27masserManual testing
11601170852895947243332829276137463
8C9AC19D3DCFAF09no


P-1 factor-bounds graph:
B1 = 131000000, B2 = 5407684892610 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 131000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 38054016, B2 = 761080320 (P-1 stage 2)
B1 = 38054016, B2 = 380540160 (P-1 stage 2)
B1 = 38054016 (P-1 stage 1)
B1 = 30000000 (P+1 stage 1)
B1 = 2860000, B2 = 80080000 (P-1 stage 2)
B1 = 2860000 (P-1 stage 1)
B1 = 2795661 (P-1 stage 1)
B1 = 2236529 (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)
103
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109
1010
1011
1012
103
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109
1010
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1013
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1015
TF factor-bounds graph:
266
265
264
263
262
261
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=30.95 ~= 86-bit
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Last modified: 2023-03-25T13:08:14+00:00