1733

This number is a prime.

+ The smallest prime (also an emirp) p such that p and p^3 contain all digits from 0 to 9. [Gupta]

+ The smallest diagonal emirp. (A diagonal prime is a prime of n^2 digits (n > 1) arranged left-right, top-down in a n-by-n matrix, where the diagonals are also prime in each direction). [Loungrides]

+ The smallest emirp whose alternate digits (1733) segregate and reunite to form two "daughter" emirps (13 ; 73). [Beedassy]

+ (1733, 3371) is the only pair of 4-digit emirps formed by inserting an emirp between the digits of another emirp, i.e., inserting the emirp 73 between the digits of emirp 13 and the emirp 37 between the digits of emirp 31. [Loungrides]

(There is one curio for this number that has not yet been approved by an editor.)

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