An unknown route with a MAP invites an INROAD from many an IMP.
Now MAP * IMP = INROAD if the following conditions are met:
1. The two multipliers are semiprimes.
2. Each of the 4-digit partial products are a pair of consecutive integers with a difference equal to their multiplying digit.
Determine the 4 primes which form the original multipliers.
The alphametic does have two solutions but the second does not meet the given criteria. Identify why.