is 2 236479 - 1
has 71188 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-LDB92126C4A15D70Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267125.651473.1343 %30000000101202470268904,486.311423.3458 %4,611.962879.4063 %
Target2440.000059.0909 %45005000000.00039.8781 %0.000363.1319 %
Difference+23+125.6514+14.0434 %+29995500+10120246526890+4,486.3111+13.4677%+4,611.9625+16.2744 %

Known prime factors (1 factor, 85.6 bits, 0.03618368% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
236479573029405771967793470188872685.567121158624184804526717
191 × 3511 × 180671702226517
2010-08-05351118067170222651733,135,01680,088149,582

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-10-07ANONYMOUSv4_computers1000004000000--0.00322.400%
2001-06-09ANONYMOUSv4_computers10000010000000--0.00524.810%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.617%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.235%
2003-02-24ANONYMOUSv4_computers1310721310720030--0.00725.808%
2003-10-31ANONYMOUSv4_computers2621442621440012--0.01428.330%
2021-07-09Oliver KruseOllaptop30000000300000000024--1.56143.906%
2022-04-01Oliver KruseThreadripper-PC3000000010120247026890--5,57563.006%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-19ANONYMOUSv4_computers212540.010
2022-03-07LordJuliusManual testing254255
2001-02-11ANONYMOUSv4_computers212560.041
2002-04-14ANONYMOUSv4_computers212570.081
2022-03-07LordJuliusManual testing257258
2009-01-01Sturle Sundefizir.ifi2582590.162
2009-01-24Sturle Sundekorsmo.ifi2592600.325


ECM factoring results:
Total ECM effort:15.172 GHz-days
Estimated T-Level:28.571
DigitsB1CompleteFacMiss
201100048.9510.000%
25500006.8820.103%
302500000.71448.954%
3510000000.05894.350%
4030000000.00499.613%


ECM Summary

B1B2factorcurvesGHz-days
10.080
5000050000002831.509
250000250000002768.159
25000032250000501.635
2500003300000070.231
25000036250000501.715
25000037582573140.487
25000034337200371.356


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-09-10ANONYMOUSv4_computersDB92126C4A15D70F0.001


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
57302940577196779347018887
F60C825DF67B89A6
2017-09-22Oliver KruseManual testing
57302940577196779347018887
F60C825DF67B89A6
2017-10-12kkmrkkblmbrbkc4.xlarge
57302940577196779347018887
F60C825DF67B89A6
2020-04-17Oliver KruseAddPrpType5
57302940577196779347018887
7ED1669D806F64DF
2024-02-03Wentao HuangManual testing
57302940577196779347018887
7ED1669D806F64DF


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto5700X


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 = 100000, B2 = 4000000 (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)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
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=28.57 ~= 78-bit
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Last modified: 2024-02-29T14:28:04+00:00