- In mathematics, a square-free
integer (or
squarefree integer) is an
integer which is
divisible by no
square number other than 1. That is, its
prime factorization...
- In combinatorics, a
squarefree word is a word (a
sequence of symbols) that does not
contain any squares. A
square is a word of the form XX,
where X is...
- of its
prime factors are repeated, it is
called squarefree. (All
prime numbers and 1 are
squarefree.) For example, 72 = 23 × 32, all the
prime factors...
-
Semiprimes that are not
square numbers are
called discrete, distinct, or
squarefree semiprimes: 6, 10, 14, 15, 21, 22, 26, 33, 34, 35, 38, 39, 46, 51, 55...
- it has
exactly eight divisors. All
sphenic numbers are by
definition squarefree,
because the
prime factors must be distinct. The Möbius
function of any...
-
fourth discrete semiprime. Sloane, N. J. A. (ed.). "Sequence A006881 (
Squarefree semiprimes:
Numbers that are the
product of two
distinct primes.)". The...
- is
related to the Möbius
function μ(n).
Write n as n = a2b
where b is
squarefree, i.e., ω(b) = Ω(b). Then λ ( n ) = μ ( b ) . {\displaystyle \lambda (n)=\mu...
- In mathematics, a square-free
polynomial is a
univariate polynomial (over a
field or an
integral domain) that has no
multiple root in an algebraically...
- This is the
condition that it
should be a
subfield of Q(ζn)
where n is a
squarefree odd number. This
result was
introduced by Hilbert (1897, Satz 132, 1998...
- only if the
number of
solutions to 4x2 + y2 = n is odd and the
number is
squarefree (proven as
theorem 6.1 of). All
numbers n with modulo-sixty remainder...
