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A271443
Earliest start of a run of n numbers divisible by a cube larger than one.
13
8, 80, 1375, 22624, 18035622, 4379776620, 1204244328624, 2604639091138248, 2604639091138248
OFFSET
1,1
COMMENTS
a(5)-a(7) were found by Donovan Johnson.
LINKS
Jean-Marie De Koninck, Those Fascinating Numbers, Amer. Math. Soc., (2009), page 63.
EXAMPLE
a(9) = 2604639091138248 and the following 8 numbers are divisible by 2^3, 11^3, 5^3, 17^3, 7^3, 13^3, 3^3, 19^3, and 2^4, respectively.
MATHEMATICA
a[n_] := Block[{k=1, c=0}, While[ c<n, If[ Max[ Last /@ FactorInteger[ ++k]] < 3, c=0, c++]]; k-n+1]; Array[a, 4]
KEYWORD
nonn,more
AUTHOR
Giovanni Resta, Apr 23 2016
STATUS
approved