is 2 977719 - 1
has 294323 decimal digits
takes 0.024 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L93C5D01AFBC41C7Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26730.391170.1493 %100000005000000001.290310.6261 %31.681473.3212 %
Target2440.000054.5455 %1600032500000.006818.4331 %0.006862.9241 %
Difference+23+30.3911+15.6038 %+9984000+496750000+1.2836-7.8070 %+31.6746+10.3971 %

Known prime factors (1 factor, 68.6 bits, 0.00701321% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9777194379970109584158859192168.569223989209045961
3 × 172 × 258349722083
2014-12-2228925834972208392.210494.93924.40

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.297%
2002-03-03ANONYMOUSv4_computers4096409600--0.00115.226%
2002-05-05ANONYMOUSv4_computers8192819200--0.00218.028%
2002-08-03ANONYMOUSv4_computers32768327680012--0.00723.511%
2003-01-25ANONYMOUSv4_computers65536655360012--0.01526.178%
2003-09-14ANONYMOUSv4_computers1310721310720012--0.02928.785%
2011-06-01JossManual testing200000200000--0.00715.672%
2011-06-19JossManual testing400000400000--0.01417.834%
2012-02-06JossManual testing684145684145--0.02419.505%
2013-10-13David Campeaui5-2500k8300002490000012--0.07531.837%
2014-04-03alpertronManual testing1000000050000000012--1.29041.438%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-07-03ANONYMOUSv4_computers212550.005
2000-11-05ANONYMOUSv4_computers212560.010
2001-11-24ANONYMOUSv4_computers212570.020
2003-08-25ANONYMOUSv4_computers212580.039
2022-03-07LordJuliusManual testing258260
2010-05-15Architects Cubeda3_bu22602610.157
2014-02-17lycornsnail2612620.314


ECM factoring results:
Total ECM effort:14.093 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002446.804
500005000000371.049
25000025000000446.240


Lucas-Lehmer results:
No L-L results for M977719


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
437997010958415885919
C2633342C44947E7
2017-10-15kkmrkkblmbrbkc4.xlarge
437997010958415885919
C2633342C44947E7
2020-04-24Oliver KruseAddPrpType5
437997010958415885919
4FC3DBB880FFEE60


CERT results:
No CERT results for M977719


P-1 factor-bounds graph:
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 830000, B2 = 24900000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 830000 (P-1 stage 1)
B1 = 684145 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (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 = 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
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103
104
105
106
107
101
102
103
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109
1010
1011
1012
TF factor-bounds graph:
262
261
260
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00