is 2 247829 - 1
has 74604 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ECM on 2024-03-01, 0.0% done, ETC 2024-03-17
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 %45005500000.000310.1466 %0.000363.2418 %
Difference+23+119.8968+14.0434 %+263995500+2879731074770+1,278.5517+14.0575%+1,398.4485+16.3951 %

Known prime factors:
No known factors for M247829

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-11-25ANONYMOUSv4_computers1000004000000--0.00322.491%
2001-07-03ANONYMOUSv4_computers10000010000000--0.00524.905%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.710%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.330%
2003-03-07ANONYMOUSv4_computers1310721310720030--0.00725.904%
2003-11-08ANONYMOUSv4_computers2621442621440012--0.01428.426%
2011-02-07JossManual testing20000002000000--0.01620.489%
2011-07-24JossManual testing20275532027553--0.01620.531%
2012-02-26JossManual testing25344422534442--0.02121.200%
2013-10-13David Campeaui5-2500k25800007482000012--0.05332.693%
2014-12-24Denial140i5-4670k1000000025000000012--0.18836.499%
2016-05-13NumberwangManual testing277169275---8.521%
2021-12-04Seth_TrManual testing12000000057767119410--32.9752.295%
2022-06-20Sid & AndyManual testing2640000002879731624770--1,58962.038%


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:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-24ANONYMOUSv4_computers2522530.002
2000-04-27ANONYMOUSv4_computers212540.010
2022-03-07LordJuliusManual testing254255
2001-02-18ANONYMOUSv4_computers212560.039
2002-04-14ANONYMOUSv4_computers212570.077
2016-02-23Mark RoseManual testing2572580.077
2009-01-01Sturle Sundegimo.ifi2582590.155
2009-01-25Sturle Sundekinner.ifi2592600.310
2013-07-15lycornasteroid2602610.620
2015-08-09snme2pm1Manual testing2612621.239
2016-01-25Gordon SpenceManual testing26226411.88
2018-03-12Gordon SpenceManual testing26426515.08
2019-12-31Gordon SpenceManual testing26526630.15


ECM factoring results:
Total ECM effort:716.093 GHz-days
Estimated T-Level:31.703
DigitsB1CompleteFacMiss
2011000114.0380.000%
255000019.9470.000%
302500002.8945.534%
3510000000.34171.129%
4030000000.03496.670%
45110000000.00399.711%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002871.530
2500002500000058317.31
110000011486399424150697.3


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


PRP results:
No PRP results for M247829


CERT results:
No CERT 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
ECM T-Level=31.7 ~= 89-bit
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Last modified: 2024-03-29T15:01:06+00:00