is 2 247999 - 1
has 74656 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-L9515B5B2BF82FD72double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267119.814773.1343%26400000028797316247701,278.551924.2049%1,398.366679.6371%
Target2440.000059.0909%45001100000.000110.1476%0.000163.2422%
Difference+23+119.8147+14.0434%+263995500+2879731514770+1,278.5519+14.0572%+1,398.3665+16.3949%

Known prime factors:
No known factors for M247999

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25ANONYMOUSv4_computers1000004000000---0.003--2.241%
2001-06-09ANONYMOUSv4_computers10000010000000---0.005--2.709%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.550%
2002-08-10ANONYMOUSv4_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 testing20257512025751---0.016--2.610%
2012-02-26Jocelyn LaroucheManual testing25321892532189---0.021--2.826%
2013-10-13David Campeaui5-2500k258000074820000---0.053--6.372%
2014-12-24thelegendarymudkipi5-4670k10000000250000000---0.188--8.537%
2016-05-13mognutsManual testing277369325---5.20625e-5--0.136%
2021-12-04Seth_TrManual testing120000000120000000---0.976--7.896%
2021-12-05Seth_TrManual testing12000000057783635910---26.54--17.816%
2022-05-31Sid & AndyManual testing2640000002879731624770---1,279--24.205%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-02-05masserManual testing3000000096000000018667--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--
2013-07-16lycornasteroid260261--0.619--
2015-08-09snme2pm1Manual testing261262--1.239--
2016-01-25Gordon SpenceManual testing262263--3.958--
2016-01-25Gordon SpenceManual testing263264--7.917--
2018-03-12Gordon SpenceManual testing264265--15.07--
2019-12-31Gordon SpenceManual testing265266--30.13--


ECM factoring results:
Total ECM effort:19.138 GHz-days
Estimated T-Level:29.851
DigitsB1CompleteFacMiss
201100064.2410.000%
25500009.2400.010%
302500000.97037.899%
3510000000.08092.344%
4030000000.00599.469%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002971.775
2500002500000058117.36


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Ken Kiefer9515B5B2BF82FD720.001
2016-06-01MadPooManual testing9515B5B2BF82FD720.001


PRP results:
No PRP results for M247999


P-1 factor-bounds graph:
B1 = 264000000, B2 = 2879731624770 (P-1 stage 2)
B1 = 120000000, B2 = 57783635910 (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 = 2532189 (P-1 stage 1)
B1 = 2025751 (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 = 2773, B2 = 69325 (P-1 stage 2)
B1 = 2773 (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: 67.7
ECM T-Level=29.85 ~= 83-bit
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Last modified: 2023-03-23T17:39:31+00:00