is 2 266239 - 1
has 80146 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-LA5237FC5F3B70545double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267111.606271.6418%11100000045589084440902,462.090624.0651%2,573.696878.4662%
Target2440.000056.8182%50006000000.000410.5897%0.000461.3910%
Difference+23+111.6062+14.8236%+110995000+4558907844090+2,462.0903+13.4755%+2,573.6964+17.0752%

Known prime factors:
No known factors for M266239

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-03-17ANONYMOUSv4_computers950003800000---0.003--2.213%
2001-06-23ANONYMOUSv4_computers10000010000000---0.006--2.738%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.570%
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_computers266239266239---0.003--1.092%
2011-02-15Jocelyn LaroucheManual testing20000002000000---0.020--2.622%
2012-02-26Jocelyn LaroucheManual testing23095782309578---0.023--2.761%
2013-10-14David Campeaui5-2500k245000068600000---0.060--6.297%
2016-01-21Jocelyn LaroucheManual testing3944445139444451012---0.582--9.776%
2016-07-19Jocelyn LaroucheManual testing3944445178888902012---0.795--10.816%
2022-06-09Sid & AndyMagic_8_Ball1110000004558908444090---2,462--24.065%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-30George WoltmanManual testing20000000166000000027--1.012
2023-09-02masserManual testing20000000158000000065--1.149
2023-09-04masserManual testing20000000158000000014717--1.149


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--
2008-12-31Sturle Sundekinner.ifi258259--0.144--
2009-01-24Sturle Sundegollumilla.ifi259260--0.288--
2013-07-09lycornasteroid260261--0.577--
2015-08-25NRManual testing261262--1.154--
2015-12-07Gordon SpenceManual testing262263--3.687--
2015-12-07Gordon SpenceManual testing263264--7.374--
2018-03-24BloodERazorManual testing264265--14.03--
2020-01-03Gordon SpenceManual testing265266--28.07--


ECM factoring results:
Total ECM effort:23.399 GHz-days
Estimated T-Level:29.865
DigitsB1CompleteFacMiss
201100064.0280.000%
25500009.2430.010%
302500000.97337.791%
3510000000.08092.310%
4030000000.00599.466%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002822.058
2500002500000058521.34


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Brian J. BeesleysamsonA5237FC5F3B705450.002
2001-10-27ANONYMOUSv4_computersA5237FC5F3B705450.002


PRP results:
No PRP results for M266239


P-1 factor-bounds graph:
B1 = 111000000, B2 = 4558908444090 (P-1 stage 2)
B1 = 111000000 (P-1 stage 1)
B1 = 39444451, B2 = 788889020 (P-1 stage 2)
B1 = 39444451, B2 = 394444510 (P-1 stage 2)
B1 = 39444451 (P-1 stage 1)
B1 = 2450000, B2 = 68600000 (P-1 stage 2)
B1 = 2450000 (P-1 stage 1)
B1 = 2309578 (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 = 266239 (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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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=29.87 ~= 83-bit
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Last modified: 2023-10-02T12:12:48+00:00