is 2 277601 - 1
has 83567 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBA66EE36C003A372double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267107.038271.6418 %262144262144000.01664.0219 %107.054872.7823 %
Target2440.000056.8182 %50006500000.000410.8253 %0.000461.4927 %
Difference+23+107.0382+14.8236 %+257144+25564400+0.0162-6.8033 %+107.0544+11.2896 %

Known prime factors (1 factor, 79.3 bits, 0.02857689% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2776017596816334049959949139672479.3301368297724801056183
34 × 4253 × 3971917353331
2010-01-1742533971917353331578,7942,144.24,004.7

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-15ANONYMOUSv4_computers1000004000000--0.00322.711%
2001-06-30ANONYMOUSv4_computers10000010000000--0.00625.136%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00220.934%
2002-08-10ANONYMOUSv4_computers65536655360012--0.00423.558%
2003-03-16ANONYMOUSv4_computers1310721310720030--0.00826.136%
2003-11-28ANONYMOUSv4_computers2621442621440012--0.01728.660%
2006-01-15Jossv4_computers277601277601--0.00314.702%
2022-01-03Lisander ViaeneManual testing100000100000--0.00111.658%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-24ANONYMOUSv4_computers2522530.002
2000-04-27ANONYMOUSv4_computers212540.009
2022-03-07LordJuliusManual testing254255
2001-02-25ANONYMOUSv4_computers212560.035
2002-03-24ANONYMOUSv4_computers212570.069
2004-02-14ANONYMOUSv4_computers212580.138
2009-01-01Sturle Sundedittersdorf.ifi2582590.138
2009-01-23Sturle Sundefoster.ifi2592600.277


ECM factoring results:
Total ECM effort:42.530 GHz-days
Estimated T-Level:28.659
DigitsB1CompleteFacMiss
201100047.4010.000%
25500006.9260.098%
302500000.73248.107%
3510000000.06194.119%
4030000000.00499.592%


ECM Summary

B1B2factorcurvesGHz-days
10.019
5000050000002781.859
250000250000001796.597
2500002850000070.273
2500003456943070.294
2500003626900670.300
25000036750000351.509
25000038500000140.616
25000023541903081.158
25000055133578510029.90


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24ANONYMOUSv4_computersBA66EE36C003A3720.002


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
759681633404995994913967
8960DA487D6A10B5
2017-09-22Oliver KruseManual testing
759681633404995994913967
8960DA487D6A10B5
2017-10-12Oliver KruseGTX-2
759681633404995994913967
8960DA487D6A10B5
2017-11-06kkmrkkblmbrbkc4.xlarge
759681633404995994913967
8960DA487D6A10B5
2020-04-17Oliver KruseAddPrpType5
759681633404995994913967
0D5C9E96D2A61E72


CERT results:
No CERT results for M277601


P-1 factor-bounds graph:
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 = 277601 (P-1 stage 1)
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)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.66 ~= 79-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00