Project Euler is a website with series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. The motivation for starting Project Euler, and its continuation, is to provide a platform for the inquiring mind to delve into unfamiliar areas and learn new concepts in a fun and recreational context.
You can visit and join here: https://projecteuler.net
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples
is 23.
Find the sum of all the multiples of 3 or 5 below given number.
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first
10 terms will be:
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
By considering the terms in the Fibonacci sequence whose values do not exceed given number, find the sum of the even-valued
terms.
The prime factors of 13195 are 5, 7, 13 and 29.
What is the largest prime factor of the given number?
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 same digit long numbers - specify the number of digits.
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 the given number?
The sum of the squares of the first ten natural numbers is 385. The square of the sum of the first ten natural numbers
is 3025.
Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025
− 385 = 2640.
Find the difference between the sum of the squares of the specified first natural numbers and the square of the sum.
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 Nth prime number?
The four adjacent digits in the below 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832
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What is the value of the largest product of N adjacent digits in the 1000-digit number?
A Pythagorean triplet is a set of three natural numbers, a < b < c, for which, a^2 + b^2 = c^2
There exist exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.