## Teaser 3149: Cube route

**From The Sunday Times, 29th January 2023** [link]

I have a set of ten cards, each of which has a different digit written on it. All the cards have been used to make a set of prime numbers. After discarding the smallest prime, and without changing the order of any cards, I have placed the remaining primes in order of decreasing size to give a large number. It is possible, without changing the order of any cards, to break this number into a set composed entirely of cubes. Neither set contains a number with more than four digits.

List, in order of decreasing size, my set of prime numbers.

[teaser3149]

## Jim Randell 4:31 pm

on27 January 2023 Permalink |This Python program uses the [[

`mcover()`

]] (exact multiset cover) routine from theenigma.pylibrary, that I implemented forEnigma 1712(and also used inTeaser 2690).It runs in 239ms.

Run:[ @replit ]Solution:[To Be Revealed]LikeLike