# 343

This number is a composite.

343 = (3 + 4)^{3} is palindromic, along with the fact that 3^{43} + 34^{3} is prime. Note that
342^{343} + 343^{342} is prime also. [Kulsha]

Ever since the Willow Grove Exit of the Pennsylvania Turnpike has existed, its exit number has been 27, the cube of an odd prime (3^{3} = 27). Now, the turnpike exit numbers are being changed, and the exit number for Willow Grove will soon be 343 - another cube of an odd prime (7^{3} = 343). [Litman]

The sum of the first five odd Fibonacci primes. [Silva]

7 cubed can be expressed using the first six odd primes: 7(3+5+11+13+17). [Silva]

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

Printed from the PrimePages <primes.utm.edu> © G. L. Honaker and Chris K. Caldwell