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12413

12413 is a natural number that follows 12412 and precedes 12414; in decimal notation it is a five-digit integer.

12413 is a prime number. It is odd and not divisible by any prime less than or

In other bases, 12413 has the representations binary 11000001111101, octal 30175, and hexadecimal 0x307D.

In mathematics, 12413 is an example of a prime in the 12,000s and can be used in

Outside of mathematical contexts, there is no widely documented cultural or historical association specific to the

equal
to
109,
so
its
only
positive
divisors
are
1
and
12413.
It
is
congruent
to
1
modulo
4,
and
by
Fermat's
theorem
on
sums
of
two
squares,
a
prime
congruent
to
1
mod
4
can
be
expressed
as
the
sum
of
two
squares.
discussions
of
prime
distribution
and
modular
arithmetic.
It
does
not
carry
widely
recognized
significance
beyond
its
primality,
though
like
other
primes
it
participates
in
many
number-theoretic
statements
and
conjectures
related
to
primes
in
specific
residue
classes
and
intervals.
number
12413.