Definition:Sheldon Prime
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Definition
A Sheldon prime is a prime number which satisfies both the product property and the mirror property.
Also see
- Sheldon Conjecture: There is only $1$ Sheldon prime, and that is $73$.
Historical Note
The name Sheldon prime was named for the fictional physicist Sheldon Cooper, who expounded upon the properties of the number $73$ in (fittingly) episode $73$ of The Big Bang Theory, by Lee Aronsohn, Jim Reynolds and Maria Ferrari:
- $73$ is the best number:
- $73$ is the $21$st prime number.
- Its mirror $37$ is the $12$th prime number.
- Its mirror $21$ is the product of multiplying, hang on to your hats, $7$ by $3$.
- Eh? Eh? Did I lie?
- We get it. $73$ is the Chuck Norris of numbers.
- Chuck Norris wishes.
- In binary, $73$ is a palindrome: $1,001,001$, which backwards is $1,001,001$, exactly the same.
- All Chuck Norris backwards gets you is Sirron Kcuhc!
Sources
- Nov. 2015: Jessie Byrnes, Chris Spicer and Alyssa Turnquist: The Sheldon Conjecture (Math Horizons Vol. 23: pp. 12 – 15) www.jstor.org/stable/10.4169/mathhorizons.23.2.12
- Jan. 2019: Carl Pomerance and Chris Spicer: Proof of the Sheldon Conjecture (Amer. Math. Monthly Vol. 121, no. 1: pp. 1 – 10)