This number is a prime.
The smallest Fibonacci prime index that is currently an Australian postcode (Emerald, Queensland).
4723 is the smallest prime that can be expressed as the sum of the same prime powers of eleven consecutive primes. I.e., 4723 = 3^2 + 5^2 + 7^2 + 11^2 + 13^2 + 17^2 + 19^2 + 23^2 + 29^2 + 31^2 + 37^2. [Opao]
The larger of only two 4-digit primes, each concatenated from a safe prime, 2p+1, and the corresponding Sophie Germain prime p, case p=23. The other is 2311. [Loungrides]
(There are 2 curios for this number that have not yet been approved by an editor.)
Printed from the PrimePages <t5k.org> © G. L. Honaker and Chris K. Caldwell