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OEIS Server: https://oeis.org/edit/global/1915
OEIS Server: https://oeis.org/edit/global/1914
Charles R Greathouse IV: More concise (and 'faster', since factorization is not completed if a square factor is found) is
is(n)=issquarefree(n) && bnfinit('x^2-n).cyc==[3]