6563

This number is a prime.

+ The largest known prime of the form 32n + 2.

+ 6563 and 6653 are the smallest pair of consecutive Honaker primes that are anagrams of each other. Their concatenation (65636653) is a prime number. [Gaydos]

+ 2 + 3 + 5 + … + 6563 = 6569 mod 6571 is the largest known (as of 2018) solution to the equation Sum(2,3, … p)=q mod r where p, q and r are consecutive primes. [Rivera]

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