# Hai Nguyen

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**Content Feed**

Solved

Project Euler: Problem 7, Nth prime

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 nu...

2 mesi ago

Solved

Project Euler: Problem 9, Pythagorean numbers

A Pythagorean triplet is a set of three natural numbers, a b c, for which, a^2 + b^2 = c^2 For example, 3^2 + 4^2 =...

2 mesi ago

Solved

Project Euler: Problem 10, Sum of Primes

The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. Find the sum of all the primes below the input, N. Thank you <http:/...

2 mesi ago

Solved

Triangle sequence

A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

2 mesi ago

Solved

Area of an equilateral triangle

Calculate the area of an equilateral triangle of side x. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...

2 mesi ago

Solved

Side of an equilateral triangle

If an equilateral triangle has area A, then what is the length of each of its sides, x? <<https://i.imgur.com/jlZDHhq.png>> ...

2 mesi ago

Solved

Rotate and display numbered tile

Imagine a square tile with four numbers on it, one on each edge. We will call these edges north, east, south, and west. If th...

2 mesi ago

Solved

Find best domino orientation

Given a list of pairs, find the orientation they should be placed in a line, such that the sum of the absolute values of the dif...

2 mesi ago

Solved

Numbers with prime factors 2, 3 and 5.

Make a function which takes one positive integer n and returns a matrix with the numbers of the form (2^i)*(3^j)*(5^k) which are...

2 mesi ago

Solved

Multiples of a Number in a Given Range

Given an integer factor _f_ and a range defined by _xlow_ and _xhigh_ inclusive, return a vector of the multiples of _f_ that fa...

2 mesi ago

Solved

Choose the best fitting dominoes

You will be given a cell array of nx2 matrices. Choose one row from each matrix. These are the ordered pairs that will be plac...

2 mesi ago

Solved

Stuff the Board

You have a stack of tiles to put onto an array-like playing board. Each tile has a number (always an integer), and the board var...

2 mesi ago

Solved

Find best placement for ordered dominoes (harder)

Given a list of ordered pairs, find the order they should be placed in a line, such that the sum of the absolute values of the d...

2 mesi ago

Solved

Find perfect placement of non-rotating dominoes (easier)

Given a list of ordered pairs, find the order they should be placed in a line, such that the sum of the absolute values of the d...

2 mesi ago

Solved

Scoring for oriented dominoes

Given a list of ordered pairs, and the order they should be placed in a line, find the sum of the absolute values of the differe...

2 mesi ago

Solved

Make a checkerboard matrix

Given an integer n, make an n-by-n matrix made up of alternating ones and zeros as shown below. The a(1,1) should be 1. Examp...

2 mesi ago

Solved

Factorize THIS, buddy

List the prime factors for the input number, in decreasing order. List each factor only once, even if the factorization includes...

2 mesi ago

Solved

Get all prime factors

List the prime factors for the input number, in decreasing order. List each factor. If the prime factor occurs twice, list it as...

2 mesi ago

Solved

Generalised Hamming Number

Inspired by Project Euler n°204 and Problem 1308 by James A generalised Hamming number of type n, has no prime factor larger ...

2 mesi ago

Solved

Find vampire numbers

A <http://en.wikipedia.org/wiki/Vampire_number vampire number> is a number v that is the product of two numbers x and y such th...

2 mesi ago

Solved

Find the next prime number

Find the next prime number or numbers for given n. For example: n = 1; out = 2; or n = [5 7]; out = [7 11]; ...

2 mesi ago

Solved

Make a vector of prime numbers

Input(n) - length of vector with prime numbers Output(v) - vector of prime numbers Example: * n=1; v=2 * n=3; v=[2 3 5...

2 mesi ago

Solved

Largest Twin Primes

<http://en.wikipedia.org/wiki/Twin_prime Twin primes> are primes p1, p2 = p1 + 2 such that both p1 and p2 are prime numbers. Giv...

2 mesi ago

Solved

Mersenne Primes

A Mersenne prime is a prime number of the form M = 2^p - 1, where p is another prime number. For example, 31 is a Mersenne prim...

2 mesi ago

Solved

Find nearest prime number less than input number

Find nearest prime number less than input number. For example: if the input number is 125, then the nearest prime number whi...

2 mesi ago

Solved

Sophie Germain prime

In number theory, a prime number p is a *Sophie Germain prime* if 2p + 1 is also prime. For example, 23 is a Sophie Germain prim...

2 mesi ago

Solved

Circular Primes (based on Project Euler, problem 35)

The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime. The...

2 mesi ago

Solved

Mersenne Primes vs. All Primes

A Mersenne prime (M) is a prime number of the form M = 2^p - 1, where p is another prime number. <https://www.mathworks.com/matl...

2 mesi ago

Solved

The Goldbach Conjecture

The <http://en.wikipedia.org/wiki/Goldbach's_conjecture Goldbach conjecture> asserts that every even integer greater than 2 can ...

2 mesi ago

Solved

Proper Factors

Generate the proper factors of input integer x and return them in ascending order. For more information on proper factors, refer...

2 mesi ago