A number theory problem by Anthony PhamNumber Theory Level pending
There is a special six-digit number n such that:
-its first two digits(a), its middle two digits(b), and its last two digits(c) each form a two-digit prime number
-c is greater than a by 60
-the units digits of b is 3
-it has three two-digit prime factors, which if written out from least to greatest, it is greater than n by 100000
What is the six-digit number n?