Prime Curios!: 467

467
(another Prime Pages' Curiosity)

Curios:

Index
Keywords
Home
Glossary
The book!
Previous
Next
Random

Curios Search:
Participate:

Mail Editor
Submit Curio
Prime Puzzio
Test Number

(1!+2!+3!+ ... +n!) - 2 is divisible by this prime number p for all natural numbers n > p - 2. [Capelle]

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. [De Geest and Post]

(There is one curio for this number that has not yet been approved by an editor.)