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Traveller's Woe (Posted on 2013-11-05) Difficulty: 3 of 5
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.

  Submitted by brianjn    
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Solution: (Hide)
In the first instance:
807 * 287 = 231609
807 is the product of 269 and 3.
287 is the product of 41 and 7.

Bonus:
The product is formed from 3 primes,
857, 11 and 7:
857 187 160259

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle AnswerK Sengupta2023-10-09 07:42:38
Solutionanswer + comments - spoilerAdy TZIDON2013-11-05 15:27:24
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