python.p0044 Namespace Reference

Functions
def	pentagonal
def	is_pentagonal
def	main ()

Detailed Description

Project Euler Problem 44

Problem:

Pentagonal numbers are generated by the formula, Pn=n(3n−1)/2. The first ten pentagonal numbers are:

1, 5, 12, 22, 35, 51, 70, 92, 117, 145, ...

It can be seen that P4 + P7 = 22 + 70 = 92 = P8. However, their difference, 70 − 22 = 48, is not pentagonal.

Find the pair of pentagonal numbers, Pj and Pk, for which their sum and difference are pentagonal and D = |Pk − Pj| is
minimised; what is the value of D?

Function Documentation

def python.p0044.is_pentagonal

(

x

)

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def python.p0044.main

(

int

)

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def python.p0044.pentagonal

(

n

)

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