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.

Bonus Challenge:
The alphametic does have two solutions but the second does not meet the given criteria. Identify why.

Posted by K Sengupta on 2023-10-09 07:42:38