February 7, 2015 Mathematics, Trivia, Words Mathematics, Palindromes, Phobias, Trivia, Words
“I’m thinking of killing everyone whose name is a palindrome” – Dan Slott, Arkham Asylum: Living Hell
You may have already known that there are so many types of strange and ridiculous phobias such as euphobia or the fear of hearing good news and arachibutyrophobia or the fear of peanut butter sticking to the roof of one’s mouth, but have you heard of a phobia about the fear of palindromes?
Palindromes are word, sentence, or set of sentences that spell the same backward as forward. And do you know what’s the name of that phobia? It’s called aibohphobia. Note that the name of the phobia itself is a palindrome.
Whoever came up with it is surely an asshole don’t you think? On the other hand, the love for palindromes is called ailihphillia while elihphile is a person who loves palindromes.
In the English language, thousands of palindromes have been coined over the years. Some of them are very witty and ingeniously constructed and they are quite fun to read. A simple search on the web would provide you plenty of palindromes for your enjoyment. Some of my favorite palindromes include:
Now, Sir, a war is won!
Put a crow, a camel, a mini male macaw or cat up.
Pull a bat, I hit a ball up.
Drab as a fool, aloof as a bard.
Dammit, I’m mad!
Step on no pets.
Was it a rat I saw?
Devil never even lived.
Panic in a Titanic? I nap
Amy, must I jujitsu my ma?
Ten animals I slam in a net.
Dogma in my hymn: I am God.
Borrow or rob?
A Toyota! Race fast, safe car: a Toyota. (Really?)
Palindromes are not only limited to words, number palindromes are also very interesting. For example:
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = 1234321
11111 × 11111 = 123454321
And so on…
Another fascinating area of number palindromes is the palindromic primes. They are palindromes that are prime numbers or numbers that do not have divisors except for 1 and itself. People that studied palindromic primes aim to discover and analyze the properties of these numbers.
The number 97579 is an interesting palindromic prime because even if you remove its first and last digit, it became another palindromic prime, 757. Of course, if you remove the two 7’sm the remaining number, 5, is also a prime.
The palindromic prime 3883 will also become a palindromic prime if you insert a zero between the number, that is, 38083.
The following is a “palindromic pyramid” which means that all the numbers in the pyramid are palindromic primes.