is 2 245723 - 1
has 73970 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LAEC94150891F7A0Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267120.924473.1343 %30000000101202470268904,486.311423.3950 %4,607.235879.4196 %
Target2440.000059.0909 %45005500000.000310.1332 %0.000363.2363 %
Difference+23+120.9244+14.0434 %+29995500+10120246476890+4,486.3111+13.2618%+4,607.2356+16.1832 %

Known prime factors (1 factor, 66.8 bits, 0.02718837% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2457231291912116763198205292166.808262879770465768
23 × 3 × 223 × 49118043809
2008-02-192234911804380960.10221.77340.666

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-06-09ANONYMOUSv4_computers10000010000000--0.00524.887%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.693%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.312%
2003-03-07ANONYMOUSv4_computers1310721310720030--0.00725.886%
2003-11-08ANONYMOUSv4_computers2621442621440012--0.01428.408%
2021-07-30Oliver KruseOllaptop30000000300000000024--1.56143.984%
2022-04-13Oliver KruseThreadripper-PC3000000010120247026890
skipped known factor: 129191211676319820529
--5,57563.092%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-24ANONYMOUSv4_computers2522530.002
2000-04-19ANONYMOUSv4_computers212540.010
2022-03-07LordJuliusManual testing254255
2001-02-18ANONYMOUSv4_computers212560.039
2002-04-14ANONYMOUSv4_computers212570.078


ECM factoring results:
Total ECM effort:13.774 GHz-days
Estimated T-Level:28.347
DigitsB1CompleteFacMiss
201100046.2930.000%
25500006.4620.156%
302500000.66951.204%
3510000000.05494.708%
4030000000.00499.639%


ECM Summary

B1B2factorcurvesGHz-days
10.016
110001100000300.035
5000050000002711.612
250000250000002758.216
25000033000000501.652
2500003475000070.236
25000036250000140.481
25000038320434140.492
25000038500000140.493
25000010329891070.541


Lucas-Lehmer results:
No L-L results for M245723


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseDoppelherz
129191211676319820529
83FF4BE42BB3064A
2017-09-22Oliver KruseManual testing
129191211676319820529
83FF4BE42BB3064A
2017-10-12Oliver KruseGTX-0
129191211676319820529
83FF4BE42BB3064A
2017-11-06kkmrkkblmbrbkc4.xlarge
129191211676319820529
83FF4BE42BB3064A
2020-04-17Oliver KruseAddPrpType5
129191211676319820529
F13220F3E42FACF9
2024-02-03Wentao HuangManual testing
129191211676319820529
F13220F3E42FACF9


CERT results:
dateuseridcompid
2024-02-03slaurnocebo


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (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)
101
102
103
104
105
106
107
108
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.35 ~= 78-bit
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Last modified: 2024-03-03T02:29:32+00:00