# Sunday Times Teaser 3006 – Raffle Tickets

*by Andrew Skidmore*

#### Published Sunday May 03 2020 (link)

At our local bridge club dinner we were each given a raffle ticket. The tickets were numbered from 1 to 80. There were six people on our table and all our numbers were either prime or could be expressed as the product of non-repeating primes (eg 18 = 2x3x3 is not allowed). In writing down the six numbers you would use each of the digits 0 to 9 once only. If I told you the sum of the six numbers (a perfect power) you should be able to identify the numbers.

List the numbers (in ascending order).

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I re-used Brian’s code for generating a set of primes or non-repeated products of primes, then permuted the ten digits to give the six raffle tickets.