[seqfan] 1 is square (square of unit 1) but is not squareful (i.e. it is squarefree, no repeated primes in its prime factorization)
Daniel Forgues
kephalopod at gmail.com
Tue Aug 17 22:27:12 CEST 2010
[http://mathworld.wolfram.com/Squareful.html]
MathWorld defines squareful as not squarefree, but I would have
preferred squaresome with that meaning and squareful to mean that
every prime factor is at least repeated twice. Similarly, cubesome
would mean that at least one prime factor is repeated three times and
cubeful would mean that every prime factor is at least repeated 3
times. And so on... But
MathWorl defines a number as squareful if at least one of its prime
factors is repeated... (seems unfortunately confusing...)
--
Daniel Forgues
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