OFFSET
2,1
COMMENTS
Proper subset of A120944, since squarefree m is the smallest number in the sequence of numbers that have m as squarefree kernel, and since more than 1 prime is a factor.
FORMULA
EXAMPLE
a(2) = 6 since m = 2*3 = 6 and 3 > sqrt(6).
a(3) = 105 since m = 3*5*7 = 105 and 5 > 105^(1/3).
a(4) = 257557397 since m = 113 * 127 * 131 * 137 = 257557397 and 127 > 257557397^(1/4), etc.
MATHEMATICA
k = 1; Table[r = Range[0, n - 1]; While[(Set[{p, q, m}, {#[[1]], #[[2]], Times @@ #}]; q < Surd[m, n]) &[Prime[k + r]], k++]; m, {n, 2, 6}]
CROSSREFS
KEYWORD
nonn,hard
AUTHOR
Michael De Vlieger, Sep 20 2024
STATUS
approved