The two-digit prime numbers between 1 and 100 are: 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. To find the two-digit prime numbers, we need to check each number between 10 and 99 to see if it meets this criterion. Here's a list of the two-digit prime numbers:
- 11: Divisible only by 1 and 11.
- 13: Divisible only by 1 and 13.
- 17: Divisible only by 1 and 17.
- 19: Divisible only by 1 and 19.
- 23: Divisible only by 1 and 23.
- 29: Divisible only by 1 and 29.
- 31: Divisible only by 1 and 31.
- 37: Divisible only by 1 and 37.
- 41: Divisible only by 1 and 41.
- 43: Divisible only by 1 and 43.
- 47: Divisible only by 1 and 47.
- 53: Divisible only by 1 and 53.
- 59: Divisible only by 1 and 59.
- 61: Divisible only by 1 and 61.
- 67: Divisible only by 1 and 67.
- 71: Divisible only by 1 and 71.
- 73: Divisible only by 1 and 73.
- 79: Divisible only by 1 and 79.
- 83: Divisible only by 1 and 83.
- 89: Divisible only by 1 and 89.
- 97: Divisible only by 1 and 97.
These are all the prime numbers that fall between 10 and 99.