is 2 46447 - 1
has 13982 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267639.738176.1194 %77000000056285615876490043,849.099330.4123 %44,488.837483.3820 %
Target2440.000163.6364 %500500000.00001.9972 %0.000164.3626 %
Difference+23+639.7381+12.4830 %+769999500+562856158714900+43,849.0993+28.4151%+44,488.8374+19.0194 %

Known prime factors (2 factors, 203.1 bits, 0.43736331% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4644781222050242592391757183150492892.71487435195214537420885292
22 × 7 × 19 × 164351870704017708431
2014-04-23191643518707040177084312.539e+101.280e+102.391e+10
46447174663797173461168238299131573983134110.42818802484248009685042984383445
5 × 281 × 13382551066199064087533369
2019-02-17281133825510661990640875333693.914e+121.043e+151.947e+15

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00121.628%
2001-08-18Alex Kruppav4_computers1000000100000000--0.00929.753%
2002-04-28ANONYMOUSv4_computers163841638400--0.00014.973%
2002-06-09ANONYMOUSv4_computers327683276800--0.00017.541%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00120.088%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00122.607%
2003-03-27ANONYMOUSv4_computers2621442621440030--0.00225.088%
2003-04-27ANONYMOUSv4_computers104857610485760048--0.01029.915%
2003-05-26ANONYMOUSv4_computers209715220971520012--0.01932.251%
2003-07-21ANONYMOUSv4_computers419430441943040012--0.03834.530%
2003-10-14ANONYMOUSv4_computers838860883886080012--0.07736.751%
2003-10-23ANONYMOUSv4_computers16777216167772160012--0.15338.911%
2016-09-26kkmrkkblmbrbkManual testing100000000200000000012---39.358%
2023-04-28JacobZMServer770000000562856158764900--52,74270.156%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-29ANONYMOUSv4_computers2522530.013
2000-03-27ANONYMOUSv4_computers212540.052
2000-10-28ANONYMOUSv4_computers212560.207
2002-11-09ANONYMOUSv4_computers212570.413


ECM factoring results:
Total ECM effort:103.116 GHz-days
Estimated T-Level:34.215
DigitsB1CompleteFacMiss
2011000239.2860.000%
255000046.2390.000%
302500006.8430.107%
3510000000.84343.044%
4030000000.08791.681%
45110000000.00899.236%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002170.203
250000250000005422.788
100000010000000090920.89
100000010000000010.021
2294950741413338715079.21


Lucas-Lehmer results:
No L-L results for M46447


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
8122205024259239175718315049
B7AC6C91C7D3F0EA
2017-09-21Oliver KruseManual testing
8122205024259239175718315049
B7AC6C91C7D3F0EA
2017-09-21Oliver KruseManual testing
8122205024259239175718315049
B7AC6C91C7D3F0EA
2017-11-06kkmrkkblmbrbkc4.xlarge
8122205024259239175718315049
B7AC6C91C7D3F0EA
2019-02-18EthanDLexxBuntu
8122205024259239175718315049
1746637971734611682382991315739831
E52569B5B802C957
2019-02-18ATHec2-PRPCFDC
8122205024259239175718315049
1746637971734611682382991315739831
E52569B5B802C957


CERT results:
No CERT results for M46447


P-1 factor-bounds graph:
B1 = 770000000, B2 = 562856158764900 (P-1 stage 2)
B1 = 770000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
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 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=34.21 ~= 97-bit
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Last modified: 2024-03-13T02:15:48+00:00