Categorygithub.com/sunilbpandey/project-eulersrcP044
package
0.0.0-20240923064808-a9a762e127f6
Repository: https://github.com/sunilbpandey/project-euler.git
Documentation: pkg.go.dev
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# README

Pentagon numbers

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

$$ 1, 5, 12, 22, 35, 51, 70, 92, 117, 145, \dots $$

It can be seen that $P_4$ + $P_7$ = 22 + 70 = 92 = $P_8$. However, their difference, 70 − 22 = 48, is not pentagonal.

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

Source: https://projecteuler.net/problem=44