Fun with Numbers #8

Some numbers are amazing. Let’s look the number 113.

113 backwards is 311, when squared 113^2 = 12769. The interesting part is that 12769 backwards is 96721 which is 311 squared.

113 is a prime number which means it cannot be factored. It is a Sophie Germain prime which means that 2(113)+1 = 227 which is also a prime number. A Chen prime which means that 113+2 is a multiple of two prime numbers: 113+2= 23*5. It is a permutable prime since 113 backwards, 311, is also a prime number.

113 can be found in geometry.  355/113 approximates PI to its sixth digit. Also with the numbers 15 and 112, these three form a Pythagorean triple, basically any group of three numbers that satisfies the Pythagorean theorem: 15^2 + 112^2 = 113^2.

113 is without a doubt an amazing number.