is 2 106321 - 1
has 32006 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
Actual267279.473674.6269 %10000000020000000000.655811.7764 %280.129477.6149 %
Target2440.000061.3636 %14001100000.00004.6541 %0.000063.1618 %
Difference+23+279.4736+13.2632 %+99998600+1999890000+0.6558+7.1224%+280.1294+14.4531 %

Known prime factors (1 factor, 60.3 bits, 0.05669561% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10632113992289612401699771960.2796580209748028
22 × 7 × 47 × 5000159383
2008-01-274750001593831.44460.87781.6395

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-21ANONYMOUSv4_computers100000025000000--0.00727.490%
2002-06-02ANONYMOUSv4_computers327683276800--0.00119.075%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00121.660%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00324.208%
2003-09-29ANONYMOUSv4_computers2621442621440012--0.00526.711%
2006-02-01Jossv4_computers20000002000000--0.00619.125%
2016-11-25kkmrkkblmbrbkManual testing100000000200000000012---40.892%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-14ANONYMOUSv4_computers2522530.006
2000-04-12ANONYMOUSv4_computers212540.023
2000-12-14ANONYMOUSv4_computers212560.090
2002-04-28ANONYMOUSv4_computers212570.181
2018-10-25J.R. AllenManual testing21257
2022-04-21LordJuliusManual testing21257
2022-04-21LordJuliusManual testing257258
2022-04-21LordJuliusManual testing258259
2022-04-21LordJuliusManual testing259260
2022-04-21LordJuliusManual testing261262
2022-04-21LordJuliusManual testing262263


ECM factoring results:
Total ECM effort:11.927 GHz-days
Estimated T-Level:30.711
DigitsB1CompleteFacMiss
201100079.7900.000%
255000012.4490.000%
302500001.47222.954%
3510000000.14286.753%
4030000000.01298.839%


ECM Summary

B1B2factorcurvesGHz-days
10.004
5000050000002640.608
250000250000005906.854
1000000100000000964.461


Lucas-Lehmer results:
No L-L results for M106321


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
1399228961240169977
F0014D2D59E5FC60
2017-09-21Oliver KruseManual testing
1399228961240169977
F0014D2D59E5FC60
2017-10-13kkmrkkblmbrbkManual testing
1399228961240169977
F0014D2D59E5FC60
2020-04-17Oliver KruseAddPrpType5
1399228961240169977
7BE47886B95B278A
2022-04-15LordJuliusWhitebox
1399228961240169977
7BE47886B95B278A
2022-10-22LordJuliusWhitebox
1399228961240169977
7BE47886B95B278A


CERT results:
dateuseridcompid
2022-10-22Ben Deloi-018288def4b216d08


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
100
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102
103
104
105
106
107
108
100
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102
103
104
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106
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109
1010
TF factor-bounds graph:
263
262
260
259
258
257
256
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.71 ~= 85-bit
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Last modified: 2024-02-09T03:30:02+00:00