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3761

3761 is a natural number that sits between 3760 and 3762. It is odd and is a prime number, meaning it has exactly two distinct positive divisors: 1 and itself. Like other primes, it appears in various theoretical contexts in number theory and recreational mathematics.

In decimal notation the digits are 3, 7, 6, and 1. In binary, 3761 is 111010110001. It

Indeed, 3761 can be written as 56^2 + 25^2, since 3136 + 625 equals 3761. This representation also

Because of its mathematical properties, 3761 is primarily of interest in theoretical contexts rather than practical

is
congruent
to
1
modulo
4,
which
is
a
characteristic
of
primes
that
can
be
expressed
as
a
sum
of
two
squares.
confirms
its
status
as
a
prime
of
the
form
4k+1,
a
class
of
primes
for
which
such
representations
are
guaranteed
by
number
theory.
applications.
It
serves
as
an
example
in
discussions
of
primality,
sums
of
squares,
and
base
representations.