11353

11353 is a natural number that follows 11352 and precedes 11354. In mathematics, 11353 is a prime number, meaning it has no positive divisors other than 1 and itself. It is odd and not divisible by 3 or 5.

Because 11353 mod 4 equals 1, it is a prime of the form 4k+1. Prime numbers of this form can be expressed as a sum of two squares; hence there exist integers a and b such that a^2 + b^2 = 11353.

In various numeral systems, 11353 has these representations: binary 10110001011001; hexadecimal 0x2C59.

There are no widely documented historical events or well-known objects primarily associated with the number 11353, but it is used in mathematical discussions as an example of a prime congruent to 1 modulo 4 and in demonstrations of base conversions.