Thursday, March 21, 2013

467

467 is a prime number.

467 is the smallest prime p in which the concatenation of p with the next prime remains prime throughout two steps of the same procedure. For example, 467 concatenated with the next prime (479) gives the prime 467479, and 467479 concatenated with the next prime (467491) gives the prime 467479467491. 467 is also the smallest whose successive concatenations remain prime throughout three steps.

467 has strictly increasing digits in bases 7 (1235), 9 (568), and 10 (467).

467 is a safe prime (A005385).

The sum of the digits of 467 is a prime (A046704).


Source: Prime Curios!

No comments: