53 is a prime number from 1-100. 53 has 2 factors, 1 and 53. It is the sixteenth prime number, and the sixteenth prime number from 1-100.
Proofs[]
As an Exponent of Mersenne Number[]
253 - 1, which is the number 9,007,199,254,740,991, is divisible by numbers such as 6,361 and 69,431, and therefore not a prime number.
Relationship with other odd numbers[]
The numbers before[]
- The previous odd number, 51, is not a prime number. It can be factored into 3 x 17.
- The odd number previous to 51 is 49. 49 is not a prime number. It is the square number, being 72 = 49.
- The odd number previous to 49 is 47. 47 is a prime number.
- 47 and 53 are six numbers apart; therefore, they are sexy primes.
The numbers after[]
- The next odd number, 55, is not a prime number. It is divisible by 5 and 11.
- 57, the odd number following 55, is also not a prime number. It is divisible by 3 and 19.
- 59, the odd number following 57, is a prime number.
- 53 and 59 are six numbers apart; therefore, they are sexy primes.