#algorithms

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The Task A Pythagorean triplet is a set of three natural numbers, a < b < c, for which a^2 + b^2 = c^2. For example, 32 + 42 = 9 + 16 = 25 =...

The Task The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 =...

The Task By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the 10.001st prime...

The Task The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + 3^3 + ... + 10^2 = 385 The square of the sum of the first ten...

The Task 2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smallest positive...

Task A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 × 99. Find the...