is 2 720359 - 1
has 216850 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L69185144CE1CCAECdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26741.248870.1493 %50000001000000000.29477.8302 %41.543572.4866 %
Target2440.000054.5455 %1200022500000.003916.5541 %0.003962.0700 %
Difference+23+41.2488+15.6038 %+4988000+97750000+0.2908-8.7239 %+41.5396+10.4166 %

Known prime factors (1 factor, 79.5 bits, 0.01104209% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7203598805034552094120198921832479.543611156003610291549
3 × 37 × 5505909942435059
2014-02-19375505909942435059169,9618,687,25516,225,374

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.732%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.634%
2002-03-16ANONYMOUSv4_computers8192819200--0.00217.417%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.165%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.872%
2002-11-09ANONYMOUSv4_computers65537655370012--0.01225.529%
2003-06-17ANONYMOUSv4_computers1310721310720012--0.02428.129%
2008-11-30Jayson Kingatlas500000010000000012--0.32535.773%
2016-03-17alpertronManual testing5000001500000012---29.477%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-15ANONYMOUSv4_computers2532540.002
2000-05-24ANONYMOUSv4_computers212550.007
2000-05-31ANONYMOUSv4_computers212550.007
2001-04-01ANONYMOUSv4_computers212560.013
2001-10-20ANONYMOUSv4_computers212570.027
2003-09-21ANONYMOUSv4_computers212580.053
2008-10-12Sturle Sundekinner.ifi2582590.053
2008-10-12Sturle Sundekinner.ifi2592600.107
2010-06-27Architects Cubedm1_tt2602610.213


ECM factoring results:
Total ECM effort:11.207 GHz-days
Estimated T-Level:25.653
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.60520.079%
302500000.13187.756%
3510000000.00999.134%


ECM Summary

B1B2factorcurvesGHz-days
10.077
5000050000002776.155
25000025000000444.975


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-02-09ANONYMOUSv4_computers69185144CE1CCAEC0.014


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-1
880503455209412019892183
3F4114797AD3147D
2017-09-28Oliver KruseManual testing
880503455209412019892183
3F4114797AD3147D
2017-11-09kkmrkkblmbrbkc4.large
880503455209412019892183
3F4114797AD3147D
2020-04-20Oliver KruseAddPrpType5
880503455209412019892183
D3537970ED10D2DB


CERT results:
No CERT results for M720359


P-1 factor-bounds graph:
B1 = 5000000, B2 = 100000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
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107
100
101
102
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104
105
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109
1010
1011
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1016
TF factor-bounds graph:
261
260
259
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00