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Sergio Fraioli


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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]; ...

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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...

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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...

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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...

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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...

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The Goldbach Conjecture
The Goldbach conjecture asserts that every even integer greater than 2 can be expressed as the sum of two primes. Given the eve...

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Can we make a triangle?
Given three positive number, check whether a triangle can be made with these sides length or not. remember that in a triangle su...

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Find the sides of an isosceles triangle when given its area and height from its base to apex
Find the sides of an isosceles triangle when given its area and the height from its base to apex. For example, with A=12 and h=...

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Height of a right-angled triangle
Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...

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Is the Point in a Triangle?
Check whether a point or multiple points is/are in a triangle with three corners Points = [x, y]; Triangle = [x1, y1; x2, y...

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Find my daddy long leg (No 's')
Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the value of the bigger leg.

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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://...

21일 전

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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...

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Energy of a photon
&#9883 &#9762 &#9883 &#9762 &#9883 &#9762 &#9883 Given the frequency F of a photon in giga hertz. Find energy E of this photon...

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One track five lanes
Find the minimum number of lane changes necessary to cross the entire track without running into any obstacles <<http://www.a...

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Kaprekar numbers
Test if the input is a Kaprekar number: <http://mathworld.wolfram.com/KaprekarNumber.html>. Return a logical true or false. ...

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Woodall number
Test whether the input is a Woodall number: <http://en.wikipedia.org/wiki/Woodall_number> _Please do not cheat by simply chec...

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Parasitic numbers
Test whether the first input x is an n-parasitic number: <http://en.wikipedia.org/wiki/Parasitic_number>. ( _n_ is the second in...

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Find all vampire fangs
A vampire number is a number v that is the product of two numbers x and y such that the following conditions are satisfied: at ...

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Fangs of a vampire number
A vampire number is a number v that is the product of two numbers x and y such that the following conditions are satisfied: at ...

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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...

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(Linear) Recurrence Equations - Generalised Fibonacci-like sequences
This problem is inspired by problems <http://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci 2187>, <htt...

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Fibonacci Decomposition
Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...

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Fibonacci-Sum of Squares
Given the Fibonacci sequence defined by the following recursive relation, * F(n) = F(n-1) + F(n-2) * where F(1) = 1 and F(1)...

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How many Fibonacci numbers?
Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers. Example: x = [1 2 3 4...

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generate nth pentatope number
https://en.wikipedia.org/wiki/Pentatope_number

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check whether a number is a pentatope number
<https://oeis.org/A000332>

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find nth even fibonacci number
1st even fibonacci number=2 ; 2nd even fibonacci number=8 ..

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Bell Triangle
Form the bell triangle upto nth bell number posotion; * if n=5 * y= [1 0 0 0 0; 1 2 0 0...

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Length of the hypotenuse
Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<https://i.imgu...

2개월 전

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