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4259

4259 is a natural number that follows 4258 and precedes 4260. In mathematics, it is notable primarily for being a prime number.

As a prime, 4259 is odd and greater than 2. It is congruent to 3 modulo 4,

In common numeral systems, 4259 is represented as 0x10A3 in hexadecimal and as 0b1000010100011 in binary. These

There is no widely recognized cultural or historical significance attached specifically to the number 4259. Its

which
implies
that
it
cannot
be
expressed
as
a
sum
of
two
integer
squares
and
that
−1
is
not
a
quadratic
residue
modulo
4259.
The
totient
of
4259
is
φ(4259)
=
4258,
and
for
any
prime
modulus
the
multiplicative
group
of
integers
modulo
4259
is
cyclic,
guaranteeing
the
existence
of
primitive
roots.
representations
reflect
its
decimal
value
of
4,259.
interest
is
mainly
mathematical,
where
its
primality
and
residue
properties
contribute
to
general
studies
of
prime
numbers
and
modular
arithmetic.