47 is a prime number from 1-100. 47 has 2 factors, 1 and 47. It is the fifteenth prime number, the fifteenth prime number from 1-100 and also the second Carol prime.
Proofs
— 47 can be divided by 1.
— 47 cannot be divided by 2-46.
— 47 can be divided by 47.
As an Exponent of Mersenne Number
247 - 1, which is the number 140,737,488,355,327, is divisible by numbers such as 2,351 and 4,513, and therefore not a prime number.
Relationship with other odd numbers
The numbers before
- The previous odd number, 45, is not a prime number. It is divisible by 5 and 9.
- The odd number previous to 45 is 43. 43 is a prime number.
- 43 and 47 are four numbers apart; therefore, they are cousin primes.
- The odd number previous to 43 is 41. 41 is a prime number.
- 41 and 47 are six numbers apart; therefore, they are sexy primes.
The numbers after
- The next odd number, 49, is not a prime number. It is the square number, being 72 = 49.
- 51, the odd number following 49, is also not a prime number. It can be factored into 3 x 17.
- 53, the odd number following 51, is a prime number.
- 47 and 53 are six numbers apart; therefore, they are sexy primes.