The prime palindrome numbers between 10 and 1000 are 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, and 929. These numbers are unique because they are both prime and read the same forwards and backward.
Understanding Prime Palindrome Numbers
To fully grasp what these numbers represent, let's break down the two key terms:
- Prime Number: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, 11, and 13 are prime numbers.
- Palindrome Number: A palindrome number is a number that remains the same when its digits are reversed. For instance, 121, 353, and 727 are palindrome numbers.
A prime palindrome (or palindromic prime) is therefore a number that satisfies both conditions: it is a prime number and it reads the same forwards and backward.
Palindromic Primes from 10 to 1000
Based on the list of palindromic primes provided by Simple English Wikipedia, we can identify those that fall within the specified range of 10 to 1000. The full list includes numbers such as 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, and many larger ones.
Filtering this comprehensive list for numbers greater than or equal to 10 and less than or equal to 1000 yields the following results:
| Prime Palindrome | Explanation |
|---|---|
| 11 | First two-digit prime palindrome. |
| 101 | The smallest three-digit prime palindrome. |
| 131 | A prime that remains 131 when reversed. |
| 151 | Another three-digit example. |
| 181 | A prime, reads same forwards and backward. |
| 191 | Ends in 1, still a prime palindrome. |
| 313 | A prime, reads the same. |
| 353 | A three-digit palindrome and a prime. |
| 373 | A prime palindrome, central digit 7. |
| 383 | Another example of a prime palindrome. |
| 727 | A prime palindrome, central digit 2. |
| 757 | A prime palindrome, central digit 5. |
| 787 | A prime palindrome, central digit 8. |
| 797 | A prime palindrome, central digit 9. |
| 919 | One of the largest three-digit prime palindromes. |
| 929 | The largest three-digit prime palindrome. |
These numbers illustrate the unique intersection of primality and palindromic symmetry within the specified range.
