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Traveller's Woe (Posted on 2013-11-05) |
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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.
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Submitted by brianjn
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Solution:
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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
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