5849
This number is a prime.
π(5849) = (π(5)*π(8)*π(4)*π(9)) * (π(π(5))*π(π(8))*π(π(4))*π(π(9)). Note that 5849 is the earliest multi-digit prime with this property. [Firoozbakht]
The largest prime number whose decimal expansion contains no repeated digits or zeros, where digits cannot be rearranged to form another prime number. [Post]
5849 and the 5849th distinct digit prime (326701) contain
the ten digits once each. [Gaydos]
(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