The Weekly Challenge

09. TASK #1: Pernicious Numbers

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RECAP

Quick recap of The Weekly Challenge - 155 by Mohammad S Anwar.

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TASK #1 › Pernicious Numbers

Submitted by: Mohammad S Anwar

Write a script to permute first 10 Pernicious Numbers.

A pernicious number is a positive integer which has prime number of ones in its binary representation.

The first pernicious number is 3 since binary representation of 3 = (11) and 1 + 1 = 2, which is a prime.

Expected Output

3, 5, 6, 7, 9, 10, 11, 12, 13, 14

TASK #2 › Weird Number

Submitted by: Mohammad S Anwar

You are given number, $n > 0.

Write a script to find out if the given number is a Weird Number.

According to Wikipedia, it is defined as:

The sum of the proper divisors (divisors including 1 but not itself) of the number is greater than the number, but no subset of those divisors sums to the number itself.

Example 1:

Input: $n = 12
Output: 0

Since the proper divisors of 12 are 1, 2, 3, 4, and 6, which sum to 16; but 2 + 4 + 6 = 12.

Example 2:

Input: $n = 70
Output: 1

As the proper divisors of 70 are 1, 2, 5, 7, 10, 14, and 35; these sum to 74, but no subset of these sums to 70.

Last date to submit the solution 23:59 (UK Time) Sunday 20th March 2022.