is 2 83578589 - 1
has 25159663 decimal digits
takes 260.806 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
Actual276183.109064.4737 %665000121362505.83683.3463 %188.945865.6625 %
Target27591.553564.0000 %5500009500000025.77233.9360 %117.325765.4169 %
Difference+1+91.5556+0.4737 %+115000-82863750-19.9354-0.5896 %+71.6201+0.2456 %

Known prime factors (1 factor, 79.8 bits, 0.00009546% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8357858910419395390578353836021112579.7866233292231445995
3 × 5 × 61 × 349 × 3361 × 5807677
2017-10-13336158076772,839.41.44612.6740

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-10-13arnaudsnd-15-1526650001213625022579.7865.8373.691%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-12-21Architects Cubeda3_bu22642650.045
2012-09-12Carsten KossendeyManual testing2652660.089
2013-02-12BlaxcarabVaio2662670.179
2013-02-22Florimond C.arm.durga2672680.358
2013-02-24S00030vd032682690.715
2013-02-26S00030vd032692701.431
2013-06-18Cow_tippingManual testing2702712.861
2014-01-29roemer2201HPCC-AMD2712725.722
2016-12-09Judge HaleManual testing27227311.44
2017-01-18RichD0Manual testing27327422.89
2017-01-22Mark RoseManual testing27427545.78
2017-03-10ANONYMOUSManual testing27527691.56


ECM factoring results:
No ECM results for M83578589


Lucas-Lehmer results:
No L-L results for M83578589


PRP results:
No PRP results for M83578589


CERT results:
No CERT results for M83578589


P-1 factor-bounds graph:
B1 = 665000, B2 = 12136250 (P-1 stage 2)
B1 = 665000 (P-1 stage 1)
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105
106
102
103
104
105
106
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108
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
267
266
265
this exponent TF target: 75
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00