Logic Masters Deutschland e.V.

We look for a number, with
a) all numerals only once
b) all triplets of three consecutive numerals in this number are "nearly prime"
that means: if np is "nearly prime", then np or np+1 is a prime number
What is maximum prime number fulfilling conditions a) and b)

Example: 21089 :
neighbor triplets are 210, 108 and 089 - all are nearly prime, cause 211, 109 and 89 are prime numbers, 21089 too.