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Diophantine Equations (Inspired by Project Euler, problem 66)

Consider the quadratic Diophantine equation of the form: x^2 – Dy^2 = 1 When D=13, the minimal solution in x is 649^2 – 13...

7 maanden ago

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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 =...

7 maanden ago

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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:/...

7 maanden ago

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Project Euler: Problem 8, Find largest product in a large string of numbers

Find the greatest product of five consecutive digits in an n-digit number. 73167176531330624919225119674426574742355349194934...

7 maanden ago

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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...

7 maanden ago

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Project Euler: Problem 6, Natural numbers, squares and sums.

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

7 maanden ago

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Project Euler: Problem 5, Smallest multiple

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

7 maanden ago

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Project Euler: Problem 4, Palindromic numbers

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

7 maanden ago

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Project Euler: Problem 3, Largest prime factor

The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

7 maanden ago

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Project Euler: Problem 2, Sum of even Fibonacci

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

7 maanden ago

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Project Euler: Problem 1, Multiples of 3 and 5

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...

7 maanden ago

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Pi Digit Probability

Assume that the next digit of pi constant is determined by the historical digit distribution. What is the probability of next di...

7 maanden ago

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What is the distance from point P(x,y) to the line Ax + By + C = 0?

Given a point, P(x,y), find the distance from this point to a linear line. INPUTS: x, y, A, B, C OUTPUTS: d, the distance ...

11 maanden ago

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MATLAB Counter

Write a function f = counter(x0,b) to construct a counter handle f that counts with an initial value x0 and a step size b. E...

11 maanden ago

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Breaking Out of the Matrix

Do you want to take the Red Pill, or the Blue Pill? If you take the Blue Pill, you will simply pass along to the next problem...

11 maanden ago

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Sums of Multiple Pairs of Triangular Numbers

This is a follow-up to <https://www.mathworks.com/matlabcentral/cody/problems/44289 Problem 44289> - Find two triangular numbers...

11 maanden ago

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Recaman Sequence - II

Take an arbitrary starting point as input and create Recaman Sequence. Then find the 1, return its index. For example: if n =...

11 maanden ago

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5 Prime Numbers

Your function will be given lower and upper integer bounds. Your task is to return a vector containing the first five prime numb...

11 maanden ago

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The Top 5 Primes

This problem series invites you to solve two simple problems related to the integer NUMBER FIVE, in order to celebrate <https://...

12 maanden ago

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Inscribed Pentagon?

Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a cir...

12 maanden ago

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Missing five

Convert decimal numbers to a base-9 notation missing the digit *5* <<http://www.alfnie.com/software/missing5.jpg>> Too man...

12 maanden ago

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The Glass Half Full

Identical glasses are placed in a triangular tower structure, such that the top level (L = 1) comprises one glass, the next leve...

12 maanden ago

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Circle/Pentagon Overlap

Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a cir...

12 maanden ago

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Recaman Sequence - I

Recaman Sequence (A005132 - <http://oeis.org/A005132 - OEIS Link>) is defined as follow; seq(0) = 0; for n > 0, seq(n) ...

12 maanden ago

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I Plead the Fifth

Write a function to provide a yes or no answer to the input string. However, it must plead the 5th amendment (return an empty st...

12 maanden ago

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Predicting life and death of a memory-less light bulb

*💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 &...

12 maanden ago

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Write c^3 as sum of two squares a^2+b^2

write c^3 as sum of two squares a^2+b^2. a and b must be integer and greater than zero. For example 5^3 = 2^2 + 11^2 5...

12 maanden ago

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Is it really a 5?

A number containing at least one five will be passed to your function, which must return true or false depending upon whether th...

12 maanden ago

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Van Eck's Sequence's nth member

Return the Van Eck's Sequence's nth member. For detailed info : <http://oeis.org/A181391 OEIS link> and <https://www.theguard...

12 maanden ago

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Octoberfest festival

A group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more...

12 maanden ago