is 2 11553259 - 1
has 3477878 decimal digits
takes 4.448 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8533F4BF467086D5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27282.776166.6667%15000001003979763.84546.1999%86.621568.7333%
Target2685.159164.7059%8000020000000.10312.9243%5.262265.7380%
Difference+4+77.6170+1.9608%+1420000+98397976+3.7423+3.2756%+81.3593+2.9953%

Known prime factors (1 factor, 107.4 bits, 0.00093002% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1155325922127500343196660021278302160328733107.4489576302384979277284997377
33 × 29 × 229 × 53407298013905075011
2023-03-18229534072980139050750111.262e+101.624e+123.034e+12

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-03-26iPrimev4_computers650001218750---0.071--1.509%
2015-04-12Sid & AndySpeck1250002187500---0.133--2.031%
2023-02-04riccardo ubertiColab_noGPU141500000100397976---3.845--6.200%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-03-08riccardo ubertiColab_noGPU1520000004000000027--2.830
2023-03-18riccardo ubertiColab_noGPU1123000004800000065P+133107.4483.314


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-02-01delongv4_computers21264--0.308--
2013-11-07lycornManual testing264265--0.323--
2014-12-20NesowaManual testing265266--0.647--
2016-01-15VictordeHollanderManual testing266267--1.294--
2018-01-11ramgeisManual testing267268--2.587--
2018-01-11ramgeisManual testing268269--5.174--
2021-09-28lycornManual testing269270--10.35--
2021-10-07mikrManual testing270271--20.70--
2023-01-26riccardo ubertiGPU72_TF271272--41.40--


ECM factoring results:
Total ECM effort:12.800 GHz-days
Estimated T-Level:2.885
DigitsB1CompleteFacMiss
20110000.57756.162%
25500000.05594.608%
302500000.00499.643%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.171
50000149129461011.63


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-01-28ANONYMOUSv4_computers8533F4BF467086D54.448
2004-04-29ANONYMOUSv4_computers8533F4BF467086D54.448


PRP results:
dateuseridcompidcofactorsres64PRP
2023-03-19riccardo ubertiColab_noGPU16
221275003431966600212783021603287
E35EBD6923F21CE3no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 100397976 (P-1 stage 2)
B1 = 2300000, B2 = 48000000 (P+1 stage 2)
B1 = 2300000 (P+1 stage 1)
B1 = 1500000 (P-1 stage 1)
B1 = 125000, B2 = 2187500 (P-1 stage 2)
B1 = 65000, B2 = 1218750 (P-1 stage 2)
B1 = 125000 (P-1 stage 1)
B1 = 65000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 68
TF double-checked to: 67.7
ECM T-Level=2.88 ~= -7-bit
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Last modified: 2023-03-25T13:08:14+00:00