- 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...
- 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...
-
natural number following 313 and
preceding 315. 314: Is an even
number Is a
squarefree semiprime Forms a
Pythagorean triple with 170 and 264 Is the
closest integer...
-
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...
-
centered nonagonal number. 55 is also the 19th
semiprime and the 15th
squarefree semiprime, as well as the 32nd
nontotient number (including odd numbers...
- only if the
number of
solutions to 4x2 + y2 = n is odd and the
number is
squarefree (theorem 6.1 of ). All
numbers n with modulo-sixty
remainder 7, 19, 31...
- square-free
integer A
semiprime that is not
square numbers is
called a
squarefree semiprime, and 58 is
among them. 58 is
equal to the sum of the
first seven...
-
Retrieved 2024-07-19. Sloane, N. J. A. (ed.). "Sequence A075819 (Even
squarefree numbers with
exactly 3
prime factors.)". The On-Line
Encyclopedia of Integer...
- cube 3 4 5 7 8 n
prime 4 5 20 113 781 5953 n
squarefree 6 12 67 120 675 1200 6821 12160 + + n non-
squarefree (μ(n)=0) 4 7 42 79 424 799 4178 7839 + + n...
