# 11047

This number is a prime.

Conjectured to be the smallest positive integer k such that (k*3^n+1)/gcd(k+1,3-1) is composite for all integers n>=1. [Luen]

By the 1338th prime number (11047) there are 669 primes with distinct digits and 669 primes with at least two of the same digit. This is the first and probably only case in which the two counts are equal. [Gaydos]

The smallest Cyclops prime containing all straight digits. [Gupta]

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

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