is 2 266449 - 1
has 80210 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC00D39BCAE086A11double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267111.518271.6418%11100000045589084440902,462.090624.0661%2,573.608978.4665%
Target2440.000056.8182%50001200000.000110.5909%0.000161.3915%
Difference+23+111.5182+14.8236%+110995000+4558908324090+2,462.0905+13.4752%+2,573.6087+17.0750%

Known prime factors:
No known factors for M266449

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-03-17ANONYMOUSv4_computers950003800000---0.003--2.214%
2001-06-23ANONYMOUSv4_computers10000010000000---0.006--2.738%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.571%
2002-08-10ANONYMOUSv4_computers655366553600---0.004--2.256%
2003-03-07ANONYMOUSv4_computers13107213107200---0.008--3.070%
2003-11-16ANONYMOUSv4_computers26214426214400---0.017--4.000%
2006-01-15Jocelyn Larouchev4_computers266449266449---0.003--1.092%
2011-02-15Jocelyn LaroucheManual testing20000002000000---0.020--2.623%
2012-02-26Jocelyn LaroucheManual testing23072182307218---0.023--2.761%
2013-08-27David Campeaui5-2500k5330000191880000---0.154--7.919%
2016-03-21Jocelyn LaroucheManual testing58630005863000---0.058--3.752%
2016-03-29Jocelyn LaroucheManual testing70356007035600---0.070--3.965%
2016-04-14Jocelyn LaroucheManual testing1066000046858429212---0.353--9.452%
2016-08-18Jocelyn LaroucheManual testing1066000093716858412---0.606--10.362%
2021-07-03George WoltmanManual testing300000002490000000---1.625--12.362%
2022-06-16Sid & AndyMagic_8_Ball1110000004558908444090---2,462--24.066%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-03George WoltmanManual testing20000000166000000027--1.012


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24ANONYMOUSv4_computers252253--0.002--
2000-04-27ANONYMOUSv4_computers21254--0.009--
2022-03-07LordJuliusManual testing254255--0.009--
2001-02-18ANONYMOUSv4_computers21256--0.036--
2001-02-25ANONYMOUSv4_computers21256--0.036--
2002-03-31ANONYMOUSv4_computers21257--0.072--
2004-02-14ANONYMOUSv4_computers21258--0.144--
2009-01-01Sturle Sundekinner.ifi258259--0.144--
2009-01-24Sturle Sundegollumilla.ifi259260--0.288--
2013-07-09lycornasteroid260261--0.576--
2015-08-25NRManual testing261262--1.153--
2015-12-07Gordon SpenceManual testing262263--3.684--
2015-12-07Gordon SpenceManual testing263264--7.368--
2018-03-20Gordon SpenceManual testing264265--14.02--
2020-01-03Gordon SpenceManual testing265266--28.05--


ECM factoring results:
Total ECM effort:23.392 GHz-days
Estimated T-Level:29.864
DigitsB1CompleteFacMiss
201100063.9900.000%
25500009.2390.010%
302500000.97337.800%
3510000000.08092.310%
4030000000.00599.466%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.050
2500002500000058521.34


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Brian J. BeesleysamsonC00D39BCAE086A110.002
2001-10-27ANONYMOUSv4_computersC00D39BCAE086A110.002


PRP results:
No PRP results for M266449


P-1 factor-bounds graph:
B1 = 111000000, B2 = 4558908444090 (P-1 stage 2)
B1 = 30000000, B2 = 2490000000 (P-1 stage 2)
B1 = 111000000 (P-1 stage 1)
B1 = 10660000, B2 = 937168584 (P-1 stage 2)
B1 = 10660000, B2 = 468584292 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 5330000, B2 = 191880000 (P-1 stage 2)
B1 = 10660000 (P-1 stage 1)
B1 = 7035600 (P-1 stage 1)
B1 = 5863000 (P-1 stage 1)
B1 = 5330000 (P-1 stage 1)
B1 = 2307218 (P-1 stage 1)
B1 = 2000000 (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 = 95000, B2 = 3800000 (P-1 stage 2)
B1 = 266449 (P-1 stage 1)
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 = 95000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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109
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TF factor-bounds graph:
266
265
264
263
262
261
260
259
258
257
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255
254
253
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=29.86 ~= 83-bit
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Last modified: 2022-06-16T02:20:56+00:00