17 is a prime number from 1-100. 17 has two factors, 1 and 17. It is said to be the number with the most syllables in a range of 13-19, thanks to seven, which has two syllables. It is the seventh prime number, and the seventh prime number from 1-100. It is also the 3rd Fermat number.
17 is considered unlucky in Italy. This is because 17's Roman Numerals are XVII which is an anagram of Vixi. Vixi is Latin for I lived aka I am dead.
Proofs
— 17 can be divided by 1.
— 17 cannot be divided by 2-16.
— 17 can be divided by 17.
- Therefore, 17 has 2 factors
As an Exponent of Mersenne Number
217 - 1, which is the number 131,071, is a prime number. It is the 6th Mersenne Prime.
Relationship with other odd numbers
The numbers before
- The previous odd number, 15, is not a prime number. It is divisible by 3 and 5.
- The odd number previous to 15 is 13. 13 is a prime number.
- 13 and 17 are four numbers apart; therefore, they are cousin primes.
- The odd number previous to 13 is 11. 11 is a prime number.
- 11 and 17 are six numbers apart; therefore, they are sexy primes.
The numbers after
- The next odd number, 19, is a prime number.
- There are no odd numbers between 17 and 19. As a result, they are twin primes.
- 21, the odd number following 19, is not a prime number. It is divisible by 3 and 7.
- 23, the odd number following 21, is a prime number.
- 17 and 23 are six numbers apart; therefore, they are sexy primes.