is 2 279767 - 1
has 84219 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-L93775F7170F50828double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267106.209571.6418%13700000028113462877501,518.941923.6839%1,625.151478.3581%
Target2440.000056.8182%50006500000.000410.8378%0.000461.4981%
Difference+23+106.2095+14.8236%+136995000+2811345637750+1,518.9415+12.8461%+1,625.1510+16.8600%

Known prime factors:
No known factors for M279767

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-15ANONYMOUSv4_computers1000004000000---0.003--2.284%
2001-06-30ANONYMOUSv4_computers10000010000000---0.006--2.758%
2002-06-09ANONYMOUSv4_computers327683276800---0.002--1.584%
2002-08-10ANONYMOUSv4_computers655366553600---0.004--2.274%
2003-03-16ANONYMOUSv4_computers13107213107200---0.008--3.092%
2003-11-28ANONYMOUSv4_computers26214426214400---0.017--4.026%
2006-01-15Jocelyn Larouchev4_computers279767279767---0.003--1.130%
2011-06-27Jocelyn LaroucheManual testing10395961039596---0.010--2.055%
2011-07-24Jocelyn LaroucheManual testing17326611732661---0.017--2.505%
2012-02-26Jocelyn LaroucheManual testing21658262165826---0.021--2.716%
2012-05-08Jocelyn LaroucheManual testing51979835197983---0.052--3.636%
2013-10-28David Campeaui5-2500k5360000203680000---0.160--8.032%
2016-05-13mikrS05260000000300000000012---2.182--13.055%
2016-05-13mognutsManual testing312878200---7.15196e-5--0.162%
2022-06-21Sid & AndyBarrel_Of_Monkeys1370000002811346287750---1,519--23.684%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-01-27masserManual testing2000000062000000027--0.631
2023-01-28masserManual testing200000006200000007661--0.631
2023-02-05masserManual testing2000000062000000065--0.631


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24ANONYMOUSv4_computers252253--0.002--
2000-05-05ANONYMOUSv4_computers21254--0.009--
2022-03-07LordJuliusManual testing254255--0.009--
2001-02-25ANONYMOUSv4_computers21256--0.034--
2002-03-16ANONYMOUSv4_computers21257--0.069--
2016-02-23Mark RoseManual testing257258--0.069--
2009-01-02Sturle Sundedittersdorf.ifi258259--0.137--
2009-02-06Sturle Sundegooch.ifi259260--0.274--
2013-06-29lycornasteroid260261--0.549--
2015-08-13NRManual testing261262--1.098--
2016-02-04Gordon SpenceManual testing262263--3.509--
2016-02-04Gordon SpenceManual testing263264--7.018--
2018-02-26BloodERazorManual testing264265--13.36--
2018-03-29Gordon SpenceManual testing264265--13.36--
2019-12-20YxinityManual testing265266--26.71--
2020-01-06Gordon SpenceManual testing265266--26.71--


ECM factoring results:
Total ECM effort:23.433 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
5000050000002812.054
2500002500000058521.38


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Brian J. Beesleysamson93775F7170F508280.002
2001-12-01ANONYMOUSv4_computers93775F7170F508280.002


PRP results:
No PRP results for M279767


P-1 factor-bounds graph:
B1 = 137000000, B2 = 2811346287750 (P-1 stage 2)
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 137000000 (P-1 stage 1)
B1 = 60000000 (P-1 stage 1)
B1 = 5360000, B2 = 203680000 (P-1 stage 2)
B1 = 5360000 (P-1 stage 1)
B1 = 5197983 (P-1 stage 1)
B1 = 2165826 (P-1 stage 1)
B1 = 1732661 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1039596 (P-1 stage 1)
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 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 279767 (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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 3128, B2 = 78200 (P-1 stage 2)
B1 = 3128 (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=29.86 ~= 83-bit
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Last modified: 2023-10-02T12:12:48+00:00