Prime Curios!: 2701

2701
(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

Single Curio View: (Seek other curios for this number)

The product of emirps 2701 = 37 * 73 is the smallest number n which divides the average of the nth prime (24317), its predecessor prime, and its successor prime. (24281 + 24317 + 24329)/3 = 24309 = 3^2 * 37 * 73. Alternate wording: 2701 is the smallest number n which divides the average of the nth prime and the two primes surrounding it. [Post]

Submitted: 2009-05-12 04:49:11; Last Modified: 2009-05-12 19:11:53.