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by Brian Gladman on May 26, 2013

Sunday Times Teaser 2644 – Route Canal

by Peter G Chamberlain

A 70 mile canal trip is planned from the lock at Aytown to the lock at Beeswick with a stop at a pub next to a lock over half way along the route.

A list is created of the number of miles between Aytown and the pub, between the pub and Beeswick, and between adjacent locks (where the longest is between the pub and the next lock towards Beeswick).

It turns out that all the numbers listed are different primes and each odd distance between any pair of locks is also prime.

In the order visited, what are the numbers of miles between adjacent locks?

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