Browse Teasers
Search Teasers

## Mr. and Mrs. Crazy: Squimes

Math brain teasers require computations to solve.

 Puzzle ID: #45263 Fun: (1.97) Difficulty: (2.88) Category: Math Submitted By: CaIceDevil

Mr. and Mrs. Crazy were just one step away from winning the \$1,000,000 prize in the contest. In order for them to win, they must answer this question:

What are the only ten 8-digit squimes?
In case you don't know what a squime is, it is any number that:
-has no zero
-has all different digits
-starts and ends with a single-digit prime or single-digit square number
-each pair of consecutive digits is a square or prime

Mr. and Mrs. Crazy solved it and won one million dollars. What were their answers?

### Hint

A squime cannot contain the number 8 since no square or prime ends with 8.

The largest squime has at most eight digits, since it cannot contain
8 or 0. If we use 2, it must come first because no square or
2-digit prime ends in 2. No 2-digit prime ends in 5 and only 25 is
square. If, therefore, we use 5, it must come after 2. So we begin
with 25.

Hide

## What Next?

See another brain teaser just like this one...

Or, just get a random brain teaser

If you become a registered user you can vote on this brain teaser, keep track of
which ones you have seen, and even make your own.