# Difference between revisions of "Euler problems/131 to 140"

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[[Category:Programming exercise spoilers]] | [[Category:Programming exercise spoilers]] | ||

− | == [http://projecteuler.net/index.php?section= | + | == [http://projecteuler.net/index.php?section=view&id=131 Problem 131] == |

Determining primes, p, for which n3 + n2p is a perfect cube. | Determining primes, p, for which n3 + n2p is a perfect cube. | ||

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</haskell> | </haskell> | ||

− | == [http://projecteuler.net/index.php?section= | + | == [http://projecteuler.net/index.php?section=view&id=132 Problem 132] == |

Determining the first forty prime factors of a very large repunit. | Determining the first forty prime factors of a very large repunit. | ||

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</haskell> | </haskell> | ||

− | == [http://projecteuler.net/index.php?section= | + | == [http://projecteuler.net/index.php?section=view&id=133 Problem 133] == |

Investigating which primes will never divide a repunit containing 10n digits. | Investigating which primes will never divide a repunit containing 10n digits. | ||

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</haskell> | </haskell> | ||

− | == [http://projecteuler.net/index.php?section= | + | == [http://projecteuler.net/index.php?section=view&id=134 Problem 134] == |

Finding the smallest positive integer related to any pair of consecutive primes. | Finding the smallest positive integer related to any pair of consecutive primes. | ||

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</haskell> | </haskell> | ||

− | == [http://projecteuler.net/index.php?section= | + | == [http://projecteuler.net/index.php?section=view&id=135 Problem 135] == |

Determining the number of solutions of the equation x2 − y2 − z2 = n. | Determining the number of solutions of the equation x2 − y2 − z2 = n. | ||

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</haskell> | </haskell> | ||

− | == [http://projecteuler.net/index.php?section= | + | == [http://projecteuler.net/index.php?section=view&id=136 Problem 136] == |

Discover when the equation x2 − y2 − z2 = n has a unique solution. | Discover when the equation x2 − y2 − z2 = n has a unique solution. | ||

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</haskell> | </haskell> | ||

− | == [http://projecteuler.net/index.php?section= | + | == [http://projecteuler.net/index.php?section=view&id=137 Problem 137] == |

Determining the value of infinite polynomial series for which the coefficients are Fibonacci numbers. | Determining the value of infinite polynomial series for which the coefficients are Fibonacci numbers. | ||

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</haskell> | </haskell> | ||

− | == [http://projecteuler.net/index.php?section= | + | == [http://projecteuler.net/index.php?section=view&id=138 Problem 138] == |

Investigating isosceles triangle for which the height and base length differ by one. | Investigating isosceles triangle for which the height and base length differ by one. | ||

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</haskell> | </haskell> | ||

− | == [http://projecteuler.net/index.php?section= | + | == [http://projecteuler.net/index.php?section=view&id=139 Problem 139] == |

Finding Pythagorean triangles which allow the square on the hypotenuse square to be tiled. | Finding Pythagorean triangles which allow the square on the hypotenuse square to be tiled. | ||

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</haskell> | </haskell> | ||

− | == [http://projecteuler.net/index.php?section= | + | == [http://projecteuler.net/index.php?section=view&id=140 Problem 140] == |

Investigating the value of infinite polynomial series for which the coefficients are a linear second order recurrence relation. | Investigating the value of infinite polynomial series for which the coefficients are a linear second order recurrence relation. | ||

## Revision as of 10:32, 20 July 2007

## Contents

## Problem 131

Determining primes, p, for which n3 + n2p is a perfect cube.

Solution:

```
problem_131 = undefined
```

## Problem 132

Determining the first forty prime factors of a very large repunit.

Solution:

```
problem_132 = undefined
```

## Problem 133

Investigating which primes will never divide a repunit containing 10n digits.

Solution:

```
problem_133 = undefined
```

## Problem 134

Finding the smallest positive integer related to any pair of consecutive primes.

Solution:

```
problem_134 = undefined
```

## Problem 135

Determining the number of solutions of the equation x2 − y2 − z2 = n.

Solution:

```
problem_135 = undefined
```

## Problem 136

Discover when the equation x2 − y2 − z2 = n has a unique solution.

Solution:

```
problem_136 = undefined
```

## Problem 137

Determining the value of infinite polynomial series for which the coefficients are Fibonacci numbers.

Solution:

```
problem_137 = undefined
```

## Problem 138

Investigating isosceles triangle for which the height and base length differ by one.

Solution:

```
problem_138 = undefined
```

## Problem 139

Finding Pythagorean triangles which allow the square on the hypotenuse square to be tiled.

Solution:

```
problem_139 = undefined
```

## Problem 140

Investigating the value of infinite polynomial series for which the coefficients are a linear second order recurrence relation.

Solution:

```
problem_140 = undefined
```