is 2 247829 - 1
has 74604 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2A213CB87A7129EAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267119.896973.1343%26400000028797316247701,278.551924.2040%1,398.448879.6369%
Target2440.000059.0909%45001100000.000110.1466%0.000163.2418%
Difference+23+119.8968+14.0434%+263995500+2879731514770+1,278.5519+14.0575%+1,398.4487+16.3951%

Known prime factors:
No known factors for M247829

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers1000004000000---0.003--2.241%
2001-07-03ANONYMOUSv4_computers10000010000000---0.005--2.708%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.550%
2002-08-03ANONYMOUSv4_computers655366553600---0.003--2.230%
2003-03-07ANONYMOUSv4_computers13107213107200---0.007--3.038%
2003-11-08ANONYMOUSv4_computers26214426214400---0.014--3.963%
2011-02-07Jocelyn LaroucheManual testing20000002000000---0.016--2.598%
2011-07-24Jocelyn LaroucheManual testing20275532027553---0.016--2.611%
2012-02-26Jocelyn LaroucheManual testing25344422534442---0.021--2.827%
2013-10-13David Campeaui5-2500k258000074820000---0.053--6.372%
2014-12-24thelegendarymudkipi5-4670k10000000250000000---0.188--8.537%
2016-05-13mognutsManual testing277169275---5.20249e-5--0.136%
2021-12-04Seth_TrManual testing12000000057767119410---26.53--17.815%
2022-06-02Sid & AndyManual testing2640000002879731624770---1,279--24.204%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-02-05masserManual testing300000009600000008137--0.775
2023-02-05masserManual testing3000000099000000027--0.788
2023-02-11masserManual testing3000000099000000065--0.788


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24ANONYMOUSv4_computers252253--0.002--
2000-04-27ANONYMOUSv4_computers21254--0.010--
2022-03-07LordJuliusManual testing254255--0.010--
2001-02-18ANONYMOUSv4_computers21256--0.039--
2002-04-14ANONYMOUSv4_computers21257--0.077--
2016-02-23Mark RoseManual testing257258--0.077--
2009-01-01Sturle Sundegimo.ifi258259--0.155--
2009-01-25Sturle Sundekinner.ifi259260--0.310--
2013-07-15lycornasteroid260261--0.620--
2015-08-09snme2pm1Manual testing261262--1.239--
2016-01-25Gordon SpenceManual testing262263--3.961--
2016-01-25Gordon SpenceManual testing263264--7.922--
2018-03-12Gordon SpenceManual testing264265--15.08--
2019-12-31Gordon SpenceManual testing265266--30.15--


ECM factoring results:
Total ECM effort:19.137 GHz-days
Estimated T-Level:29.856
DigitsB1CompleteFacMiss
201100064.0380.000%
25500009.2330.010%
302500000.97137.866%
3510000000.08092.329%
4030000000.00599.468%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002871.715
2500002500000058317.42


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Ken Kiefer2A213CB87A7129EA0.001
2016-06-01MadPooManual testing2A213CB87A7129EA0.001


PRP results:
No PRP results for M247829


P-1 factor-bounds graph:
B1 = 264000000, B2 = 2879731624770 (P-1 stage 2)
B1 = 120000000, B2 = 57767119410 (P-1 stage 2)
B1 = 264000000 (P-1 stage 1)
B1 = 120000000 (P-1 stage 1)
B1 = 10000000, B2 = 250000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2580000, B2 = 74820000 (P-1 stage 2)
B1 = 2580000 (P-1 stage 1)
B1 = 2534442 (P-1 stage 1)
B1 = 2027553 (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 = 100000, B2 = 4000000 (P-1 stage 2)
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 = 2771, B2 = 69275 (P-1 stage 2)
B1 = 2771 (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: 67.8
ECM T-Level=29.86 ~= 83-bit
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Last modified: 2023-04-26T21:34:10+00:00