# Euler problems/171 to 180

From HaskellWiki

## Contents

## Problem 171

Finding numbers for which the sum of the squares of the digits is a square.

Solution:

```
problem_171 = undefined
```

## Problem 172

Investigating numbers with few repeated digits.

Solution:

```
problem_172 = undefined
```

## Problem 173

Using up to one million tiles how many different "hollow" square laminae can be formed? Solution:

```
problem_173=
let c=div (10^6) 4
xm=floor$sqrt $fromIntegral c
k=[div c x|x<-[1..xm]]
in sum k-(div (xm*(xm+1)) 2)
```

## Problem 174

Counting the number of "hollow" square laminae that can form one, two, three, ... distinct arrangements.

Solution:

```
problem_174 = undefined
```

## Problem 175

Fractions involving the number of different ways a number can be expressed as a sum of powers of 2. Solution:

```
problem_175 = undefined
```

## Problem 176

Rectangular triangles that share a cathetus. Solution:

```
problem_176 = undefined
```

## Problem 177

Integer angled Quadrilaterals.

Solution:

```
problem_177 = undefined
```

## Problem 178

Step Numbers Solution:

```
problem_178 = undefined
```

## Problem 179

Consecutive positive divisors. Solution:

```
problem_179 = undefined
```

## Problem 180

Solution:

```
problem_180 = undefined
```