is 2 224717 - 1
has 67647 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ECM on 2024-03-16, 0.0% done, ETC 2024-03-16
0 primality tests remaining
ResidueStatus
L-LF28D9C5E260A6AB3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267132.228273.1343 %13500000055621897230902,466.633624.3369 %2,598.861879.6726 %
Target2440.000059.0909 %40005000000.00039.6316 %0.000363.0311 %
Difference+23+132.2282+14.0434 %+134996000+5562189223090+2,466.6334+14.7054%+2,598.8615+16.6415 %

Known prime factors:
No known factors for M224717

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-13ANONYMOUSv4_computers10000010000000--0.00524.706%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.517%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.133%
2003-02-24ANONYMOUSv4_computers1310721310720030--0.00725.704%
2003-10-23ANONYMOUSv4_computers2621442621440012--0.01428.225%
2011-02-11JossManual testing40000004000000--0.03322.398%
2013-10-20David Campeaui5-2500k404000014544000012--0.09634.594%
2016-01-04JossManual testing1216390312163903012--0.14733.944%
2016-03-20JossManual testing3026767954481822212--0.47438.570%
2016-08-26JossManual testing30267679108963644412--0.71640.763%
2022-06-16Sid & AndyMagic_8_Ball1350000005562189723090--3,06563.029%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2023-02-05masserManual testing3000000099000000027--0.788
2023-02-11masserManual testing300000009600000008519--0.775
2023-02-16masserManual testing3000000099000000065--0.788


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-19ANONYMOUSv4_computers212540.011
2022-03-07LordJuliusManual testing254255
2001-02-11ANONYMOUSv4_computers212560.043
2002-04-07ANONYMOUSv4_computers212570.085
2016-02-23Mark RoseManual testing2572580.085
2008-12-31Sturle Sundedanzi.ifi2582590.171
2009-01-25Sturle Sundegobi.ifi2592600.342
2013-07-22lycornasteroid2602610.683
2015-07-05snme2pm1Manual testing2612621.367
2016-01-25Gordon SpenceManual testing26226413.11
2016-03-26YxinityManual testing26426516.63
2019-12-19Gordon SpenceManual testing26526633.25


ECM factoring results:
Total ECM effort:123.280 GHz-days
Estimated T-Level:30.981
DigitsB1CompleteFacMiss
201100085.4880.000%
255000014.5750.000%
302500001.86915.433%
3510000000.19682.181%
4030000000.01898.256%
45110000000.00199.863%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002791.487
2500002500000058417.26
10000001842139435100100.2
136977186005491052.243
138540977016918852.072


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01MadPooManual testingF28D9C5E260A6AB30.001


PRP results:
No PRP results for M224717


CERT results:
No CERT results for M224717


P-1 factor-bounds graph:
B1 = 135000000, B2 = 5562189723090 (P-1 stage 2)
B1 = 135000000 (P-1 stage 1)
B1 = 30267679, B2 = 1089636444 (P-1 stage 2)
B1 = 30267679, B2 = 544818222 (P-1 stage 2)
B1 = 30267679 (P-1 stage 1)
B1 = 12163903, B2 = 121639030 (P-1 stage 2)
B1 = 12163903 (P-1 stage 1)
B1 = 4040000, B2 = 145440000 (P-1 stage 2)
B1 = 4040000 (P-1 stage 1)
B1 = 4000000 (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 = 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)
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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=30.98 ~= 86-bit
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Last modified: 2024-03-28T20:30:07+00:00