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List the near-square primes, p = n² + 1 (Landau's 4th problem)
Historical context At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime...

7 months ago

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List primes which are the sum of two consecutive lower primes plus minus one
Problem statement Some prime numbers can be written as the sum of two consecutive lower primes plus / minus one : Like t...

7 months ago

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Check the integers additive decomposition conjecture
Problem statement A conjecture (I rediscovered ?) related to Goldbach's one states that every integer above 2 can be written ...

7 months ago

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Euclid primes
Historical context Euclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he ...

7 months ago

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Fermat primes
Historical context The french mathematician Pierre de Fermat found the formula to find some prime numbers. He thought / co...

7 months ago

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Ulam primes first formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give the first 760 prime numbers ...

7 months ago

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Ulam primes second formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give some prime numbers not given...

7 months ago

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Euler primes
Historical context The great swiss mathematician Leonhard Euler found the formula to give some prime numbers. Problem...

7 months ago

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Prime numbers which are the difference of two consecutive cubes
Problem statement Given a positive integer n greater than 2, find the prime numbers less or equal to n and which are the diff...

7 months ago

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Check p = 6n +/- 1, the generic formula for odd prime numbers greater than 3
Problem statement For all odd prime number p greater than 3, there exists a positive integer n, such that p = 6n +/- 1 : ...

7 months ago

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My wife's logic
Its is always the opposite of the causality law, that is to say the opposite of the implication relationship in math/logic terms...

7 months ago

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Check Bertrand-Chebyshev's theorem about prime numbers
Historical context Bertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory ...

7 months ago

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Check p = 4n +/- 1, the generic formula for odd prime numbers
Problem statement For all odd prime number p, there exists a positive integer n, such that p = 4n +/- 1 : Check this f...

7 months ago

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Determinant of a 3x3 Matrix
Return the determinant of a 3x3 matrix. The built-in Matlab function det is not allowed.

7 months ago

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Approximate the inverse tangent by power series
Given values b (where abs(b)<=1) and n (polynomial order), write a function that calculates atan(b) by using power series.

7 months ago

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06 - Matrix Equations 3
Define the matrices _aMat_, _bMat_, and _cMat_: <<http://samle.dk/STTBDP/Assignment1_3a.png>> ( _aMat_ = 9x9 matrix full o...

7 months ago

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Add Me To Death (Sum sum sum)
Given certain vector, sum of the input vector, get the sum of 2 adjacent numbers in the input, and sum of the output vector (wh...

7 months ago

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Compress list
Given a non-empty list L of positif integers, compress the list so that only one occurrence is retained if two (or more) equal e...

7 months ago

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Creating a matrix by taking shifted copies of a given vector v as columns
This problem is the same as the problem 761 except that here we are testing it for any given vector ; a row or column vector. Th...

7 months ago

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Tony's trick for duplicating an mx1 vector n times
Without using repmat, or for loop, or concatenation, create a function to duplicate a vector, v, a specified number of times, n....

7 months ago

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Time reverse indices
Time reverse the index values as follows IndexIn = [7 1 0] IndexOut = [7 6 0] Note that the indices are zero based and so...

7 months ago

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Tridiagonal
Return an n-by-n matrix that has a, b, c as the subdiagonal, main diagonal, and superdiagonal entries in the matrix. Example ...

7 months ago

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Question 1
Implement a function named q1 with one input argument named n. This function should return the multiplication of all odd numbers...

7 months ago

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Five Fingers
A little girl has just learnt how to count from 1 to N using the five fingers of her left hand as follows. She starts by calling...

7 months ago

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x = 3
write a funciton to make the variable x = 3

7 months ago

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Resistance of a robot
What is the resistance of an industrial robot that draws P watts of power when connected to a power supply delivering V volts? R...

7 months ago

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Odd elimination
Inspired by Project Euler problem #539 You'll be given a vector from 1 to n; Going from left to right, remove the first n...

7 months ago

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Delete the column with all 0 in the TABLE
In the given table (T), delete the column with all 0 data. e.g. input Banana Apple Orange Mellon __...

7 months ago

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Are you more familiar with iteration methods or Linear Algebra? Let's see together.
Given a sum result *_x_* value of a *_N_* number of addends, build an array of _*N*_ elements _*y*_ such that the following equa...

7 months ago

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Diagonal of a Golden Rectangle
A golden rectangle has sides in the ratio 1:φ (phi), where φ is the golden ratio (approximately 1.618). Given the length of the ...

7 months ago