# Listen With Others

## Zero-less Pandigital Products: Prime 234 by Oyler

Posted by Listen With Others on 20 June 2008

In a first for Listen With Others, the following is a puzzle by Oyler that was sent to all solvers who submitted feedback with their solution to the puzzle.

Many thanks to Oyler for allowing this to be published here, and I hope that people have as much fun solving it as I did. If anybody has any feedback on this puzzle, then I will happily pass it on to Oyler, or it can be posted as comments at the bottom of this posting.

Chris

Zero-less Pandigital Products : Prime 234

By Oyler

In the clues P, Q and R are a two digit, three digit and four digit number respectively that between them contain all of the digits from 1 to 9 with P prime such that PQR = X_Y_Z where X_Y_Z is a nine digit number split into three groups of three digits that again contains all of the digits from 1 to 9.  For example 29 x 871 x 5364 = 135,489,276.  Across entries are in capitals and X¢ denotes the reverse of X.  All the entries are different, the normal rules of algebra apply and there are no zeros in the grid.

Clues

 P Q R X Y Z A dp 9A2 2q f cd K + g G 4Cm 4D ad 8D K + j G¢ p¢q – F – N – P N 6h 9C M¢ F2 FHc J 6B 4b q¢ FH 7 ( k – n ) E¢ ce + c A¢H