is 2 872411 - 1
has 262622 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L48F1EEC0C4ECDEB5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26868.322070.5882%5000000015023896387502,879.865322.0353%2,948.187377.0692%
Target2440.000054.5455%1400027500000.005717.6190%0.005762.5541%
Difference+24+68.3220+16.0428%+49986000+1502386888750+2,879.8596+4.4162%+2,948.1816+14.5151%

Known prime factors (1 factor, 150.7 bits, 0.01727777% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
872411237246748606776354936378148717229935066734000746150.7331359718920364234030384636075870374944073
3 × 11 × 13 × 89 × 131 × 5521 × 1773677 × 16686589 × 24588401 × 67661311		2023-04-3024588401676613111.792e+110.94711.7596

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08ANONYMOUSv4_computers2000200000---0.000--0.168%
2002-02-17ANONYMOUSv4_computers4096409600---0.001--0.367%
2002-04-14ANONYMOUSv4_computers8192819200---0.002--0.675%
2002-05-25ANONYMOUSv4_computers163841638400---0.004--1.114%
2002-06-29ANONYMOUSv4_computers327683276800---0.007--1.693%
2002-12-25ANONYMOUSv4_computers655376553700---0.015--2.409%
2003-08-31ANONYMOUSv4_computers13107213107200---0.029--3.252%
2011-02-21Jocelyn LaroucheManual testing200000200000---0.007--1.007%
2011-07-12Jocelyn LaroucheManual testing237926237926---0.008--1.104%
2011-09-05Jocelyn LaroucheManual testing396543396543---0.014--1.423%
2012-01-27Jocelyn LaroucheManual testing793087793087---0.028--1.935%
2012-03-29Jocelyn LaroucheManual testing11896301189630---0.042--2.277%
2012-09-21Jocelyn LaroucheManual testing17448221744822---0.061--2.629%
2012-10-25Jocelyn LaroucheManual testing19277491927749---0.068--2.726%
2013-11-03David Campeaui5-2500k201000072360000---0.205--6.492%
2015-11-29Sid & AndyRocky872411026172330012---0.791--8.865%
2022-11-25Jocelyn LaroucheManual testing25135003331247010---6.465--10.960%
2023-02-09Jocelyn LaroucheManual testing10000006662494020---12.80--10.613%
2023-04-30lycornsupernova50000000150238963875046150.7332,8800.0425,76022.035%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-03-14masserManual testing600000027600000017443--0.828
2023-03-14masserManual testing600000028800000027--0.850
2023-03-18masserManual testing600000028200000065--0.839


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-31ANONYMOUSv4_computers21255--0.006--
2000-12-31ANONYMOUSv4_computers21256--0.011--
2001-12-08ANONYMOUSv4_computers21257--0.022--
2003-09-09ANONYMOUSv4_computers21258--0.044--
2022-03-07LordJuliusManual testing258259--0.044--
2004-06-04Sturle Sundev4_computers21260--0.176--
2010-05-20Architects Cubeda3_bu2260261--0.176--
2015-02-06TJAOIManual testing261262--0.352--
2015-10-06Gordon SpenceManual testing262263--1.125--
2015-10-06Gordon SpenceManual testing263264--2.250--
2016-02-10lycornManual testing264265--4.283--
2018-05-16BloodERazorManual testing265266--8.566--
2019-03-17lycornManual testing266267--17.13--
2022-02-24Gordon SpenceManual testing267268--34.26--


ECM factoring results:
Total ECM effort:14.387 GHz-days
Estimated T-Level:25.668
DigitsB1CompleteFacMiss
201100015.5100.000%
25500001.67318.761%
302500000.13487.498%
3510000000.00999.132%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003048.509
25000025000000425.878


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Glenn Davison48F1EEC0C4ECDEB50.021
2002-01-28ANONYMOUSv4_computers48F1EEC0C4ECDEB50.021
2015-04-11MadPooManual testing48F1EEC0C4ECDEB50.021


PRP results:
dateuseridcompidcofactorsres64PRP
2023-04-30lycornsupernova
2372467486067763549363781487172299350667340007
4D183167F0070571no


P-1 factor-bounds graph:
B1 = 50000000, B2 = 1502389638750 (P-1 stage 2)
B1 = 1000000, B2 = 6662494020 (P-1 stage 2)
B1 = 2513500, B2 = 3331247010 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 8724110, B2 = 261723300 (P-1 stage 2)
B1 = 8724110 (P-1 stage 1)
B1 = 2010000, B2 = 72360000 (P-1 stage 2)
B1 = 2513500 (P-1 stage 1)
B1 = 2010000 (P-1 stage 1)
B1 = 1927749 (P-1 stage 1)
B1 = 1744822 (P-1 stage 1)
B1 = 1189630 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 793087 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 396543 (P-1 stage 1)
B1 = 237926 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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104
105
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107
108
102
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TF factor-bounds graph:
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267
266
265
264
263
262
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=25.67 ~= 69-bit
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Last modified: 2023-09-25T11:53:03+00:00