Puzzle 1258 42312143
From the always intgeresting
Prime Curios!
pages of my friend G. L. Honaker,Jr., I stole, once
more, the following curio:
42312143
is the largest prime that
can be split into two 4-digit primes,
(4231, 2143), each consisting of the first four
positive digits. [Loungrides]
Q1. Find ALL the primes of ten digits composed of
two times the digits 1, 3, 5, 7, 9 such that it can
be split into two 5-digits distinct primes, each
consiting of the first five odd positive digits (1,
3, 5, 7 and 9). The order of the integers doesn't
matter in any of the three primes.
Q2. Find the smallest and the largest prime
of eleven decimal digits (0-9; not necessarily
distinct) that can be split into two 5 & 6 digits
primes such that the set of the digits of both of
these two 5 & 6 digits primes is equal to the set of
the digits of the 11 digits initial prime. The order
of the integers doesn't matter in any of the three
primes.