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Articles tagged with #algorithms
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 = 52. There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc. Solutio...
The Task The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832. 73167176531330624919225119674426574742355349194934 96983520312774506326239578318016984801869478851843 8586156078911294949545950173795...
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 number? This is a surprisingly tricky one, because the code should execute within one minute according to the P...
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 natural numbers is, (1 + 2 + 3 + ... + 10)^2 = 55^2 = 3025 Hence the difference between the sum of the...
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 number that is evenly divisible by all of the numbers from 1 to 20? Now, the task is calling it "Small...
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 largest palindrome made from the product of two 3-digit numbers. Some thoughts about the task Befor...
