# 264

This number is a composite.

264^{2} is the smoothly undulating palindromic sum of a twin prime pair {34847 + 34849}. Note that the neutral pion, π^{0}, has a mass about 264 times that of the electron. [Honaker]

2^5 + 6^3 + 4^2 = 264. Note that 2 is raised to the 3rd prime, 6 to the second prime, and 4 to the first prime. [van Doorn]

264 is the only non-zero three-digit number whose sum of itself raised to itself and its right truncations minus one is prime. I.e., 264^264+264^26+264^2 - 1 is prime. [Opao]

Printed from the PrimePages <t5k.org> © G. L. Honaker and Chris K. Caldwell