project_euler.problem_125.sol1

Problem 125: https://projecteuler.net/problem=125

The palindromic number 595 is interesting because it can be written as the sum of consecutive squares: 6^2 + 7^2 + 8^2 + 9^2 + 10^2 + 11^2 + 12^2.

There are exactly eleven palindromes below one-thousand that can be written as consecutive square sums, and the sum of these palindromes is 4164. Note that 1 = 0^2 + 1^2 has not been included as this problem is concerned with the squares of positive integers.

Find the sum of all the numbers less than 10^8 that are both palindromic and can be written as the sum of consecutive squares.

Attributes

LIMIT

Functions

is_palindrome(→ bool)

Check if an integer is palindromic.

solution(→ int)

Returns the sum of all numbers less than 1e8 that are both palindromic and

Module Contents

project_euler.problem_125.sol1.is_palindrome(n: int) → bool

Check if an integer is palindromic. >>> is_palindrome(12521) True >>> is_palindrome(12522) False >>> is_palindrome(12210) False

project_euler.problem_125.sol1.solution() → int

Returns the sum of all numbers less than 1e8 that are both palindromic and can be written as the sum of consecutive squares.

project_euler.problem_125.sol1.LIMIT = 100000000