is 2 154081 - 1
has 46384 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-L3BE8259245A0F6DBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267192.846173.1343 %10000000020000000000.975512.1000 %193.821676.3851 %
Target2440.000059.0909 %28002750000.00017.4459 %0.000162.1370 %
Difference+23+192.8461+14.0434 %+99997200+1999725000+0.9754+4.6541%+193.8215+14.2481 %

Known prime factors (1 factor, 85.9 bits, 0.05574158% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
154081715516352720016784938968632685.887232188379073349986351
204857 × 1133416866757543
2009-10-01204857113341686675754360,882,483295,979552,807

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00323.950%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00119.783%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00222.384%
2003-02-09ANONYMOUSv4_computers1310721310720030--0.00424.944%
2003-10-08ANONYMOUSv4_computers2621442621440012--0.00827.456%
2009-01-11axnManual testing500000020000000012--0.07534.839%
2016-12-02kkmrkkblmbrbkManual testing100000000200000000012---41.572%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-29ANONYMOUSv4_computers2522530.004
2000-05-05ANONYMOUSv4_computers212540.016
2022-03-07LordJuliusManual testing254255
2001-01-08ANONYMOUSv4_computers212560.062
2002-07-06ANONYMOUSv4_computers212570.125
2022-03-07LordJuliusManual testing257258
2008-12-31Sturle Sundegoober.ifi2582590.249
2009-02-07Sturle Sundegouache.ifi2592600.498


ECM factoring results:
Total ECM effort:12.139 GHz-days
Estimated T-Level:30.449
DigitsB1CompleteFacMiss
201100067.3040.000%
25500009.8580.005%
302500001.06034.652%
3510000000.09091.403%
4030000000.00699.373%


ECM Summary

B1B2factorcurvesGHz-days
10.003
5000050000002750.874
2500002500000060210.44
1000000100000000120.824


Lucas-Lehmer results:
No L-L results for M154081


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
71551635272001678493896863
45645B325BEB0F72
2017-09-22Oliver KruseManual testing
71551635272001678493896863
45645B325BEB0F72
2017-10-11kkmrkkblmbrbkc4.xlarge
71551635272001678493896863
45645B325BEB0F72
2020-04-17Oliver KruseAddPrpType5
71551635272001678493896863
342A61504FB3E2E8
2024-02-03Wentao HuangManual testing
71551635272001678493896863
342A61504FB3E2E8


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto1035G1


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (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)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
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=30.45 ~= 85-bit
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Last modified: 2024-03-13T02:15:48+00:00