is 2 719681 - 1
has 216646 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-L1E61B281BDAACF85double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26741.287670.1493 %50000001000000000.29477.8295 %41.582372.4864 %
Target2440.000054.5455 %1200022500000.003916.5523 %0.003962.0692 %
Difference+23+41.2876+15.6038 %+4988000+97750000+0.2908-8.7228 %+41.5784+10.4172 %

Known prime factors (1 factor, 63.1 bits, 0.00877025% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
719681100080490943168581132063.1186953114709376
27 × 11 × 4938291697
2010-02-1012849382916974.53007.791714.553

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.730%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.632%
2002-03-16ANONYMOUSv4_computers8192819200--0.00217.415%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.163%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.870%
2002-11-09ANONYMOUSv4_computers65537655370012--0.01225.527%
2003-06-17ANONYMOUSv4_computers1310721310720012--0.02428.127%
2008-11-30Jayson Kingatlas500000010000000012--0.32535.771%
2016-03-17alpertronManual testing5000001500000012---29.475%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-15ANONYMOUSv4_computers2532540.002
2000-05-24ANONYMOUSv4_computers212550.007
2001-04-01ANONYMOUSv4_computers212560.013
2001-10-20ANONYMOUSv4_computers212570.027
2003-09-21ANONYMOUSv4_computers212580.053
2008-10-11Sturle Sundekinner.ifi2582600.160


ECM factoring results:
Total ECM effort:11.230 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.057
5000050000002786.199
25000025000000444.975


Lucas-Lehmer results:
No L-L results for M719681


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-1
10008049094316858113
A743FAB040AFF031
2017-09-28Oliver KruseManual testing
10008049094316858113
A743FAB040AFF031
2017-11-09kkmrkkblmbrbkc4.large
10008049094316858113
A743FAB040AFF031
2020-04-20Oliver KruseAddPrpType5
10008049094316858113
87176FAA7A8A7A44


CERT results:
No CERT results for M719681


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)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
260
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00