92

This number is a composite.

+ The smallest composite for which the reverse of its digits in hexadecimal, decimal, octal, and binary are all prime. [Wolfe]

+ Twice the 92nd power of the 92nd prime minus one is prime (i.e., 2*p(92)^92-1 is prime). 92 is the largest such number less than a thousand. [Opao]

+ Concatenation of first 92 prime differences (in reverse order) forms the smallest prime with this property: 812424864621021084864668642106144241410246266610264241212242102664662102641442424864624626642462642424221. [Sariyar]

(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