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]
(There is one curio for this number that has not yet been approved by an editor.)
Printed from the PrimePages <t5k.org> © G. L. Honaker and Chris K. Caldwell