Happy Primes

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© Tom Saunders on flickr as modern_carpentry

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367 The First Seventy-Three Primes

A happy prime number is, as the name insists, a number that is both happy and prime. What’s a happy number? Let’s take a prime number—how about 73?

7^2 + 3^2 = 49+9 = 58

5^2 + 8^2 = 25+16 = 41…

(Later that same day)

…6^2 + 1^2 = 36+1 = 37

3^2 + 7^2 = 9+49 = 58

Hmm…Here we are again. This means that this sequence will go on for all eternity. It is definitely not a happy prime.

If your number finally comes to one, you’ve got a happy number.

√5329000000

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2 thoughts on “Happy Primes

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